To see the other types of publications on this topic, follow the link: Game Theory/Mathematical Methods.
Journal articles on the topic 'Game Theory/Mathematical Methods'
Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles
Consult the top 50 journal articles for your research on the topic 'Game Theory/Mathematical Methods.'
Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.
You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.
Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.
1
Vohra, Rakesh V. "Mathematical and Quantitative Methods: Jane Austen, Game Theorist." Journal of Economic Literature 51, no. 4 (December 1, 2013): 1187–90. http://dx.doi.org/10.1257/jel.51.4.1183.r3.
Full textAbstract:
Rakesh V. Vohra of University of Pennsylvania reviews, “Jane Austen, Game Theorist” by Michael Suk-Young Chwe. The Econlit abstract of this book begins: “Explores the ways in which the core ideas of game theory appear in Jane Austen's novels. Discusses the argument; game theory in context; folk tales and human rights; game theory in Flossie and the Fox; Austen's six novels; Austen's foundations of game theory; Austen's competing models; Austen on what strategic thinking is not; Austen's innovations; Austen on strategic thinking's disadvantages; Austen's intentions; Austen on cluelessness; and real-world cluelessness. Chwe is Associate Professor of Political Science at the University of California, Los Angeles.”
2
Petik, Yaroslav. "MATHEMATICAL METHODS IN ETHICS." Sophia. Human and Religious Studies Bulletin 13, no. 1 (2019): 58–64. http://dx.doi.org/10.17721/sophia.2019.13.14.
Full textAbstract:
Paper views the possibility of application of mathematical methods such as matrix algebra and game theory to analyzing the ethical contexts. Philosophical problems of usage of formal systems in humanities are described in general and analogies with economical mathematics and historical processes modeling are drawn. The moral dimension is proposed to be introduced for some famous scenarios in game theory and the potential of cooperation of this part of mathematics and philosophical ethics is studied. The moral estimation of players and connected hypotheses are then proposed to be introduced. The main new idea of the first chapter of the paper is that it is possible to provide an additional matrix which will estimate the moral events happening in the scenario (at least for some of the scenarios). Every decision of a player will cause not only the changes in strategies of other players and outcomes of the game but also certain precise moral evaluation of the particular action. The famous game theory scenario called prisoner's dilemma is given as a working example of such an approach. Consequently now we can use not only the gradation of players according to their initial strategies but also their "moral type". Paper than centers on exploring of how the moral influences the "material" strategies and decisions and also proposes the basic classification of moral types of players. A separate attention is given to one of such types which should be a mathematical encompassing of the negative sides of human nature in social activites. The paper will be useful for everyone who is interested in ethics, philosophical methodology of ethics, philosophy of mathematics and general relations between formal systems and humanities.
3
Raghavan, T. E. S. "Legal Disputes Resolved via Game Theoretic Methods." International Game Theory Review 17, no. 02 (April 15, 2015): 1540015. http://dx.doi.org/10.1142/s0219198915400150.
Full textAbstract:
Mathematical foundations of conflict resolutions are deeply rooted in the theory of cooperative and non-cooperative games. While many elementary models of conflicts are formalized, one often raises the question whether game theory and its mathematically developed tools are applicable to actual legal disputes in practice. We choose an example from union management conflict on hourly wage dispute and how zero sum two person game theory can be used by a judge to bring about the need for realistic compromises between the two parties. We choose another example from the 2000-year old Babylonian Talmud to describe how a certain debt problem was resolved. While they may be unaware of cooperative game theory, their solution methods are fully consistent with the solution concept called the nucleolus of a TU game.
4
Nabatova, D. S. "GAME THEORY METHODS IN PROBLEMS OF ENVIRONMENTAL PROTECTION." SOFT MEASUREMENTS AND COMPUTING 6/1, no. 55 (2022): 43–48. http://dx.doi.org/10.36871/2618-9976.2022.06.004.
Full textAbstract:
The solution of the problem of using natural resources using game theory models is considered. A finite game with three participants is proposed as a mathematical model. Solutions are defined for different principles of optimality. A comparative analysis of the obtained solutions for a dyadic game is given. Information extensions are considered as one of the possibilities to obtain solutions that have the properties of stability and rationality.
5
Wang, Yujie. "Game Theory Survey: Voting Methods of Preferential Ballot." Journal of Physics: Conference Series 2386, no. 1 (December 1, 2022): 012001. http://dx.doi.org/10.1088/1742-6596/2386/1/012001.
Full textAbstract:
Abstract This paper is a survey focuses on seven basic Voting Methods for Preferential Ballots. The purpose is to give a pellucid illustration of these Methods in consideration of Game Theory, and understand their intrinsic and associative properties. In order to understand these Methods and their efficacy, multiple techniques, such as Mathematical Modeling and Computer Programming, are used for evaluation and comparison. The ultimate goal is to find a Voting Methods which elect the most democratic winner.
6
Klimenko, Irina. "Methods of mathematical modeling in the management of socio-economic processes: game theory." EcoSoEn, no. 3-4 (January 2024): 13–18. http://dx.doi.org/10.54481/ecosoen.2023.3.02.
Full textAbstract:
The possibility of using game theory in the practice of managing socio-economic processes is considered. Examples are given and the possibilities of integrating game theory as a complex of mathematical modeling methods into the daily practice of management are determined.
7
Klimenko, Irina, and Vasile Uritu. "Methods of mathematical modeling in the management of socio-economic processes: game theory." Vector European, no. 1 (April 2024): 158–62. http://dx.doi.org/10.52507/2345-1106.2024-1.28.
Full textAbstract:
The possibility of using game theory in the practice of managing socio-economic processes is considered. Examples are given and the possibilities of integrating game theory as a complex of mathematical modeling methods into the daily practice of management are determined.
8
Zvyagin, Leonid S. "MATHEMATICAL ALGORITHMS OF GAME THEORY AS AN APPLIED TOOL FOR MAKING EFFECTIVE FINANCIAL AND ECONOMIC DECISIONS." SOFT MEASUREMENTS AND COMPUTING 1, no. 11 (2020): 33–47. http://dx.doi.org/10.36871/2618-9976.2020.11.003.
Full textAbstract:
Recently, the methods of gametheoretic modeling are increasingly used in the financial sphere. In particular, the formation of an optimal investment portfolio is considered and analyzed from the point of view of game theory as a type of cooperative game. In business, game theory is widely used to model the behavior between competitors. Economists often use game theory to understand the behavior of oligopolies, trying to calculate when firms collude. The relevance of game theory methods for the financial and economic sphere is due to their universality, as well as mathematical validity. This article examines how using the concepts contained in game theory, it is possible not only to build real scenarios for such situations as price competition, production and output, the relationship between buyer and seller, but also to predict their results. The purpose of this article is to study the basic concepts of game theory, as well as to consider practical approaches to solving specific situations that are reflected in the financial and economic sphere
9
Zhang, Guo Hai, Guang Hui Zhou, and Xue Qun Su. "A Game Theory Approach for Multiple Design Tasks Schedule." Applied Mechanics and Materials 26-28 (June 2010): 163–66. http://dx.doi.org/10.4028/www.scientific.net/amm.26-28.163.
Full textAbstract:
This paper presents a new kind of scheduling solution for multiple design tasks in networked developing environments. The main contributions of this study can be focused on three points: The first is to distinguish the concepts and contents of the task scheduling in the networked developing environments. The second is to construct a game-theory mathematical model to deal with this new multiple design tasks scheduling problem. In the presented mathematical model, the players, strategies and payoff are given separately. Therefore, obtaining the optimal scheduling results is determined by the Nash equilibrium (NE) point of this game. In order to find the NE point, a genetic algorithm (GA)-based solution algorithm to solve this mathematical model is proposed. Finally, a numerical case study is presented to demonstrate the feasibility of the methods.
10
Lisowski, Józef. "Game control methods in avoidance of ships collisions." Polish Maritime Research 19, Special (October 1, 2012): 3–10. http://dx.doi.org/10.2478/v10012-012-0016-4.
Full textAbstract:
ABSTRACT The paper introduces application of selected methods of a game theory for automation of the processes of moving marine objects, the game control processes in marine navigation and the base mathematical model of game ship control. State equations, control and state constraints have been defined first and then control goal function in the form of payments - the integral payment and the final one. Multi-stage positional and multi-step matrix, non-cooperative and cooperative, game and optimal control algorithms in a collision situation has been presented. The considerations have been illustrated as an examples of a computer simulations mspg.12 and msmg.12 algorithms to determine a safe own ship’s trajectory in the process of passing ships encountered in Kattegat Strait.
11
ПИЦЮК И.Л., ПИЦЮК И. Л., СЯСИНА Т. В. СЯСИНА Т.В., ВЕРЕМЧУК К. Н. ВЕРЕМЧУК К.Н., and ЛЕБЕДЕВА Д. С. ЛЕБЕДЕВА Д.С. "APPLICATION OF MATHEMATICAL METHODS TO SOLVING CURRENT PROBLEMS OF TRANSPORT LOGISTICS." Экономика и предпринимательство, no. 3(164) (June 20, 2024): 1166–68. http://dx.doi.org/10.34925/eip.2024.164.3.226.
Full textAbstract:
В статье рассмотрены современные проблемы транспортной логистики. Представлены математические методы, используемые для получения оптимальных решений в области транспортной логистики и позволяющие справляться с вызовами, связанными с нестабильной экономической ситуацией в Российской Федерации. К данным методам относятся: линейное программирование, теория игр, теория очередей. The article discusses the modern problems of transport logistics. The mathematical methods used to obtain optimal solutions in the field of transport logistics and to cope with the challenges associated with the unstable economic situation in the Russian Federation are presented. These methods include: linear programming, game theory, queue theory.
12
Chen, Nok Ella. "A Description of Game Theory." Journal of Education, Humanities and Social Sciences 2 (July 13, 2022): 199–205. http://dx.doi.org/10.54097/ehss.v2i.787.
Full textAbstract:
Game theory implies the logic of problematic situations with solutions through mathematical calculation. Since 1944, the game theory has been applied to military decisions, educational materials, and to find methods for complicated circumstances. The equilibria, different strategies to maximize surplus, and analysis of games could be inferred to assist players. The dominant strategy is the esse.ntial portion of the research to the game where the choice results in the best payoffs not affected by the other players' decisions. Closely connected to the dominant strategy, the Nash equilibrium represents the idea of the stable point where there is no profitable deviation for any player. Moreover, through calculation, the mixed strategy could be acquired, in situations when the probability of choices of all players is random, in the probability distribution. Finally, studies of shading the bid in auctions could maximize the surplus of bidders in partial auctions. The research could accommodate deliberate determinations in various games.
13
ABDALLA, AREEG, and JAMES BUCKLEY. "MONTE CARLO METHODS IN FUZZY GAME THEORY." New Mathematics and Natural Computation 03, no. 02 (July 2007): 259–69. http://dx.doi.org/10.1142/s1793005707000768.
Full textAbstract:
In this paper, we consider a two-person zero-sum game with fuzzy payoffs and fuzzy mixed strategies for both players. We define the fuzzy value of the game for both players [Formula: see text] and also define an optimal fuzzy mixed strategy for both players. We then employ our fuzzy Monte Carlo method to produce approximate solutions, to an example fuzzy game, for the fuzzy values [Formula: see text] for Player I and [Formula: see text] for Player II; and also approximate solutions for the optimal fuzzy mixed strategies for both players. We then look at [Formula: see text] and [Formula: see text] to see if there is a Minimax theorem [Formula: see text] for this fuzzy game.
14
Nasr, N., N. Moussaid, and O. Gouasnouane. "A game theory approach for joint blind deconvolution and inpainting." Mathematical Modeling and Computing 10, no. 3 (2023): 674–81. http://dx.doi.org/10.23939/mmc2023.03.674.
Full textAbstract:
In this paper we propose a new mathematical model for joint Blind Deconvolution and Inpainting. The main objective is the treatment of blurred images with missing parts, through the game theory framework, in particular, a Nash game, we define two players: Player 1 handles the image intensity while Player 2, operates on the blur kernel. The two engage in a game until the equilibrium is reached. Finally, we provide some numerical examples: we compare the efficiency of our proposed approach to other existing methods in the literature that deals with Blind Deconvolution and Inpainting separately.
15
Lv, Hong Yan, and Yu Hong Dong. "Analysis of Enterprise Credit Behavior with Game Theory." Applied Mechanics and Materials 411-414 (September 2013): 2406–9. http://dx.doi.org/10.4028/www.scientific.net/amm.411-414.2406.
Full textAbstract:
Modern market economy is credit economy, but discreditable behavior took place frequently which has restricted the sound development of social economy. This text analyzed the discreditable behavior between enterprises and enterprises with game theory model mainly. According to the methods of economics, it built a model with the supposed premise. On this basis, it analyzed a game and repeated game model, and got the equilibrium solution. Take advantage of the equilibrium solution, it get the conclusion from mathematical deduction, and it gave a feasible strategy based on this conclusion. These are reducing the interests from discredit, raising the probability of successful recovering, and raising the compensation from discredit.
16
Bellomo, Nicola, and Seung-Yeal Ha. "A quest toward a mathematical theory of the dynamics of swarms." Mathematical Models and Methods in Applied Sciences 27, no. 04 (March 28, 2017): 745–70. http://dx.doi.org/10.1142/s0218202517500154.
Full textAbstract:
This paper addresses some preliminary steps toward the modeling and qualitative analysis of swarms viewed as living complex systems. The approach is based on the methods of kinetic theory and statistical mechanics, where interactions at the microscopic scale are nonlocal, nonlinearly additive and modeled by theoretical tools of stochastic game theory. Collective learning theory can play an important role in the modeling approach. We present a kinetic equation incorporating the Cucker–Smale flocking force and stochastic game theoretic interactions in collision operators. We also present a sufficient framework leading to the asymptotic velocity alignment and global existence of smooth solutions for the proposed kinetic model with a special kernel. Analytic results on the global existence and flocking dynamics are presented, while the last part of the paper looks ahead to research perspectives.
17
Makogon, Helen, Oleksandr Serpukhov, Tetiana Rybak, Oleksandr Tereshchenko, Oleksandr Lavrut, and Vladyslav Sukhoteplyi. "BATTLE PLANNING AND ORGANIZATION LOGISTICS SUPPORT IN THE FORMS AND METHODS OF NATO STANDARDS MILITARY MANAGEMENT TOOLS BASED ON THE USE OF THE GAME THEORY MATHEMATICAL APPARATUS." Системи управління, навігації та зв’язку. Збірник наукових праць 4, no. 74 (December 12, 2023): 59–62. http://dx.doi.org/10.26906/sunz.2023.4.059.
Full textAbstract:
The subject matter of the article is the analysis of the decision-making options for combat operations in the sphere of operation of the S-4 section of the headquarters of the military unit. The goal of the study is the development of the methodology of the military raffle according to NATO standards for the analysis of decision-making options for combat operations by applying the mathematical apparatus of game theory. The tasks to be solved are: to conduct an analysis of the methods recommended by NATO standards for a military draw; from the point of view their viability objectivity assessing to formulate a matrix game based on an a posteriori analysis of action options to make a decision on planning and organizing a battle in the field of the S-4 section operation. The methodological basis of the research was general scientific and special methods of scientific knowledge. General scientific and special methods of scientific knowledge are used. The following results were obtained: The adequacy of the mathematical apparatus of game theory for the formal description of the decision-making process for combat operations, taking into account all possible risks, has been clarified. Conclusions The method of analyzing options for making a decision on combat operations using the mathematical apparatus of game theory is one that is devoid of subjectivity. The solution of the matrix game compiled on the basis of data on combat operations in the sphere of operation of the S-4 headquarters section of the military unit is the basis of the methodology of logistical support for the planning and organization of the battle in the forms and methods of the military management toolkit according to NATO standards.
18
Khitryi, Andrei V., Vladimir V. Mazalov, Natalia A. Bure, and Polina V. Drobnaya. "Cooperative game theory methods for determining text complexity." Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes 19, no. 4 (2023): 509–21. http://dx.doi.org/10.21638/11701/spbu10.2023.407.
Full textAbstract:
We propose a method for estimating the complexity of texts based on the methods of cooperative game theory. The players in this game are the lengths of words in the text. The game itself is represented as a voting game in which the value of a player is determined by the number of coalitions in which the player is key. The ranks of the players are formed by computing the Shepley—Schubik value or the Banzaf index in a voting game with a given voting threshold. Thus, a vector of Shepley—Schubik or Banzaf values is assigned to each text. After that, the vector space is used to rank the texts in terms of complexity based on the expert evaluations obtained in this domain.
19
Janušaitis, Rolandas, Valerijus Keras, and Jūratė Mockienė. "DEVELOPMENT OF METHODS FOR DESIGNING RATIONAL TRUSSES." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 9, no. 3 (September 30, 2003): 192–97. http://dx.doi.org/10.3846/13923730.2003.10531325.
Full textAbstract:
Striving for rationality and long-term reliability is seen in different periods of building activities. Application of linear programming methods has enabled to formalise this striving and to elaborate the necessary mathematical models. But later theoretical and practical investigations have disclosed that not always, when optimising in respect of one criterion, it is possible to obtain solutions rational in other aspects, and this stimulated the application of multicriteria optimization methods. It is useful in this case to apply the ideas of the game theory, game problems solving methods already applied in other building design fields. When adapting methods of the game theory to popular needs for truss designing, a criteria set involving 11 alternatives has been selected. Attempts have been made to find rational truss variants by applying different methods (method of proximity to an ideal point, Wald's and Hurwitz's methods). It has been found when using the method of proximity to an ideal point for rational truss designing that a truss with a sloping brace network and pivoted knots supported by a column and composed of rectangular box shapes is more valuable than other trusses. According to Wald's and Hurvitz's methods, among popular spans of 24 m such a truss is the truss with a lowered bottom chord.
20
Mutanen, Arto. "Constructive Methods in Economics." Synthesis philosophica 34, no. 1 (2019): 45–57. http://dx.doi.org/10.21464/sp34104.
Full textAbstract:
Constructive methods and constructivity have been under extensive discussion in the philosophy of science. In mathematics and experimental sciences, constructive methods have a long tradition. From experimental sciences, constructive methods broadened to empirical sciences, as constructive empiricism demonstrates. For the last few decades, scientists from social sciences have been discussing social constructionism, which is a new direction in this multidimensional tradition of constructive methods. In economics, mathematical methods such as game theory are generally used. The mathematisation of science can be done in the spirit of the pedagogic-scientific mode or technocratic-scientific mode, which both are present in economics. Mathematical and other constructive methods may allow us to find out scientific understanding for particular phenomena. However, there is a real danger that the whole of science becomes technocratic. The question is not about constructions, but the whole aim of science – whether it is pedagogical or not.
21
Zvyagin, Leonid S. "THE APPLICATION OF NUMERICAL AND COMPUTATIONAL METHODS IN MATHEMATICAL AND GAMETHEORETIC MODELING." SOFT MEASUREMENTS AND COMPUTING 1, no. 74 (2024): 89–101. http://dx.doi.org/10.36871/2618-9976.2024.01.009.
Full textAbstract:
Computational methods are widely used in mathematical modeling to identify sequences necessary for the desired quantities. Logical and computational operations are used in programming to create computer programs that work with the model in a technical plane. Numerical methods are equally widespread in problems of game theory, where they are used to calculate optimal strategies, display winning probabilities and calculate the effectiveness of selected methods, in order to proceed to a solution using computational methods, the original problem is replaced by a computational algorithm. Mathematical modeling is a theoretical tool and allows you to describe in theory the trends of a particular phenomenon or process, track development trends, outline the relationships and behavior of objects within the desired model. Mathematical modeling can be attributed to experimental scientific methods, since using computer technologies and tools it allows you to conduct a huge number of experiments with models, which in turn allows you to work through many scenarios with different introductory ones.
22
Зайчикова, Н. А. "Application of mathematical game theory for decision-making in a situation of uncertainty in the market of financial assets." Экономика и предпринимательство, no. 1(138) (April 15, 2022): 1306–8. http://dx.doi.org/10.34925/eip.2022.138.1.260.
Full textAbstract:
В статье рассмотрен анализ поведения инвестора на российском финансовом рынке в ситуации неопределенности. В качестве основы для анализа взята статистика финансового рынка 2021-2022 гг. В работе проведена формализация поставленной задачи в терминах математической теории игр; определена математическая игровая модель 6×3 в ситуации неопределенности; поставленная игра решена с помощью различных способов и критериев теории игр; проанализированы полученные результаты и сделаны рекомендации по выбору оптимальных стратегий. Для решения поставленных задач использованы методы математической теории игр и MS Excel с надстройкой «Поиск решения». В данной работе при некоторых условиях, описывающих неопределенность, в качестве оптимальных по совокупности критериев выделены стратегии приобретения валюты или недвижимости. The article considers an analysis of the behavior of an investor in the Russian financial market in a situation of uncertainty. The statistics of the financial market for 2021-2022 are taken as the basis for the analysis. In the work, the formalization of the problem posed in terms of the mathematical theory of games is carried out; the mathematical game model 6×3 is defined in the situation of uncertainty; the set game is solved using various methods and criteria of game theory; the obtained results are analyzed and recommendations are made on the choice of optimal strategies. To solve the tasks set, methods of mathematical game theory and MS Excel were used. In this paper, under certain conditions describing uncertainty, strategies for acquiring currency or real estate are singled out as optimal in terms of a set of criteria.
23
Liao, David, and Thea D. Tlsty. "Evolutionary game theory for physical and biological scientists. II. Population dynamics equations can be associated with interpretations." Interface Focus 4, no. 4 (August 6, 2014): 20140038. http://dx.doi.org/10.1098/rsfs.2014.0038.
Full textAbstract:
The use of mathematical equations to analyse population dynamics measurements is being increasingly applied to elucidate complex dynamic processes in biological systems, including cancer. Purely ‘empirical’ equations may provide sufficient accuracy to support predictions and therapy design. Nevertheless, interpretation of fitting equations in terms of physical and biological propositions can provide additional insights that can be used both to refine models that prove inconsistent with data and to understand the scope of applicability of models that validate. The purpose of this tutorial is to assist readers in mathematically associating interpretations with equations and to provide guidance in choosing interpretations and experimental systems to investigate based on currently available biological knowledge, techniques in mathematical and computational analysis and methods for in vitro and in vivo experiments.
24
Kong, Xiangshan, Qilong Sun, and Haitao Li. "Survey on Mathematical Models and Methods of Complex Logical Dynamical Systems." Mathematics 10, no. 20 (October 11, 2022): 3722. http://dx.doi.org/10.3390/math10203722.
Full textAbstract:
Logical dynamical systems (LDSs) have wide applications in gene regulation, game theory, digital circuits, and so on. In LDSs, phenomena such as impulsive effect, time delays, and asynchronous behavior are not negligible, which generate complex LDSs. This paper presents a detailed survey on models and methods of investigating LDSs. Firstly, some preliminary results on LDSs and semi-tensor product (STP) method are presented. Secondly, some new developments on modeling complex LDSs are summarized, including switched LDSs, probabilistic LDSs, delayed LDSs, LDSs with impulsive effects, asynchronous LDSs, constrained LDSs, and implicit LDSs. Finally, the control design techniques of LDSs are reviewed, including reachable set approach, sampled-data control, event-triggered control, and control Lyapunov function method.
25
Nunes, Ezquivel Cesar Armando. "COMPARATIVE ANALYSIS OF THE MANAGEMENT METHODS OF THE SHARED CONSUMPTION SYSTEM." EKONOMIKA I UPRAVLENIE: PROBLEMY, RESHENIYA 3/1, no. 144 (2024): 91–96. http://dx.doi.org/10.36871/ek.up.p.r.2024.03.01.010.
Full textAbstract:
This article provides a comprehensive analysis of various resource management methods within the framework of shared consumption systems that allow enterprises to effectively use common assets such as vehicles, equipment, cloud computing and software. The purpose of the study is to evaluate the advantages and disadvantages of each shared consumption system and determine the optimal mathematical methods for their implementation, including game theory, route optimization methods, linear programming, queue theory, distributed computing algorithms, and others. Special attention is paid to the possibilities of integrating these methods to improve the management of shared consumption, reduce costs and increase the efficiency of resource use in the digital economy. The analysis reveals how modern mathematical methods and artificial intelligence technologies can contribute to the development of more efficient and flexible sharing systems adapted to changing market conditions and user needs.
26
ZVYAGIN, L. S. "FEATURES OF THE APPLICATION OF GAME THEORY IN THE ECONOMIC ACTIVITY OF ECONOMIC ENTITIES." EKONOMIKA I UPRAVLENIE: PROBLEMY, RESHENIYA 1, no. 4 (2021): 47–55. http://dx.doi.org/10.36871/ek.up.p.r.2021.04.01.005.
Full textAbstract:
Today, there are a huge number of different tools that help reduce risks, but the problem is that they rely on classical probability theory, statistics, etc. These methods can be effective, but they do not take into account the interaction of market participants, psychological characteristics. These problems entail an increase in risks and, as a result, a drop in income and other difficulties. Often, to solve such problems, a business analyst turns to such a branch of mathematics as game theory. Game theory refers to a mathematical method that looks for optimal strategies in the course of a game, and a game refers to a situation in which there are two or more participants who are fighting to defend their interests. A special advantage of game theory is to take into account the struggle of interests of each party, this helps to better understand the current situation and find the optimal solution plan for the real processes taking place in the economy of an economic entity.
27
Sanfey, Alan G. "Social Decision-Making: Insights from Game Theory and Neuroscience." Science 318, no. 5850 (October 26, 2007): 598–602. http://dx.doi.org/10.1126/science.1142996.
Full textAbstract:
By combining the models and tasks of Game Theory with modern psychological and neuroscientific methods, the neuroeconomic approach to the study of social decision-making has the potential to extend our knowledge of brain mechanisms involved in social decisions and to advance theoretical models of how we make decisions in a rich, interactive environment. Research has already begun to illustrate how social exchange can act directly on the brain's reward system, how affective factors play an important role in bargaining and competitive games, and how the ability to assess another's intentions is related to strategic play. These findings provide a fruitful starting point for improved models of social decision-making, informed by the formal mathematical approach of economics and constrained by known neural mechanisms.
28
Xiaoqin Li. "Equilibrium analysis in game theory using nonlinear functional analysis techniques." Journal of Electrical Systems 20, no. 3 (April 25, 2024): 1099–110. http://dx.doi.org/10.52783/jes.3437.
Full textAbstract:
Game theory provides a mathematical framework for analyzing the tactical choices of rational decision makers. The idea of equilibrium, which states that no player has a motivation to change their existing approach given the strategies of other players, is one of the core ideas of game theory. This study examines a type of undirected graph-based distributed quadratic game. The problem of communication topology constraints is presented and nonlinear dynamics with uncertain time-dependent perturbations are present in the participant's dynamics. Based on a high-gain observer approach, a distributed Nash equilibrium (NE) finding technique is given, and the Lyapunov stability theory is used to study the convergence. It represents that every player approximates the positions of their rival players and that there are differences between the NE and the placements of the minor limitation that finally restricts the players. In addition, chattering problems are eliminated since the offered theory's formulation employs the hyperbolic tangent function to control the perturbation rather than the signum function. In an imitation of the oligopoly match, five enterprises manufacture identical materials in a duopoly market framework; this is done to confirm the effectiveness of the recommended strategy. Our results provide novel perspectives and methods for understanding complicated strategic situations, helping to close the gap between mathematical theory and real-world applications.
29
Kim, Song-Kyoo (Amang). "Versatile Stochastic Two-Sided Platform Models." Mathematics 11, no. 1 (December 27, 2022): 131. http://dx.doi.org/10.3390/math11010131.
Full textAbstract:
This paper deals with the alternative mathematical modeling of the two-side platform. Two-sided platforms are specific multi-sided platforms that bring together two distinct groups of a model. The stochastic modeling by adapting various innovative mathematical methods including the first exceed theory and the stochastic pseudo-game theory has been applied for describing a two-sided platform more properly. A stochastic pseudo-game model is newly introduced to solve the two-sided platform more effectively. Analytically tractable results for operation thresholds for maximizing profits are provided and it also delivers the optimal balance of a two-sided platform. The paper includes how these innovative models are applied into various two-sided market situations. Additionally, users could conduct these multi-sided models to real business developments and the case practices of these unique models shall help the readers who want to find recommendations of their business situations easily even without having any mathematical background.
30
Li, Sijia, Zhexiang Li, and Zhuang Liu. "Game Theory in Companies: A Program-approach to Find all Nash equilibria in Games with Two Players." Advances in Economics, Management and Political Sciences 16, no. 1 (September 13, 2023): 357–66. http://dx.doi.org/10.54254/2754-1169/16/20231043.
Full textAbstract:
Game theory is a famous mathematical formula for economic decision-making. When two companies launch competing games within a similar time frame in the game industry, they must choose wisely between launch dates, trailer release dates, and launch platforms to seek the highest return and lower risk. This report turns the three main strategies of the release time, the preview time, and the release platform into specific values and finds the optimal strategy choice using nash equilibria. Nash equilibrium is an essential concept in finding the optimal solution. Given the complexity of finding the equilibria, computational tools are used for the task. Software like Gambit, Game Theory Explorer and python programs are used for computing all nash equilibria. This paper quantifies the three main reasons that may affect the sales result: the timing and order of the trailer, the interval between launch days, and the release platform, and turning these factors into a pay-off matrix. According to the calculation results on those pay-off matrices, this paper formulates a set of well-founded game sales methods to maximize the company's profits.
31
Medzhidov, Jel’shan. "Analysis of Strategic Interactions in the Armenia-Azerbaijan Nagorno-Karabakh Conflict Through the Prism of the Game Theory." Vestnik Volgogradskogo gosudarstvennogo universiteta. Serija 4. Istorija. Regionovedenie. Mezhdunarodnye otnoshenija, no. 3 (July 2020): 140–47. http://dx.doi.org/10.15688/jvolsu4.2020.3.12.
Full textAbstract:
Introduction. The paper attempts to analyze possible and probable strategic moves of the primary and secondary actors in the Armenia-Azerbaijan Nagorno-Karabakh conflict. Methods. To analyze this conflict the author uses the mathematical theory of games and some mathematical models and methods. The main methods and models include the following: Nash equilibrium, sequential game, Zermelos theorem, Zermelo-Kuno algorithm, and games with commitments. As the publication is an analytical and computational work, it mainly includes literature related to methodology and theory. Analysis. The publication not only contains the analysis of the strategic interactions between Armenia and Azerbaijan as primary actors, but also includes Russia as a secondary participant. Results. As a result, the author has drawn several conclusions. Firstly, the strategic interactions between two actors differ from strategic interactions among three actors in terms of possible payments and preferences. Secondly, in the strategic interactions between Armenia and Azerbaijan, the most likely interaction profile will be “A2 , B1 -C2 ” (not recognizing the independence of Nagorno Karabakh and not declaring war on Armenia) with a payment of “0:0”. The third conclusion is on the qualitative difference between the sequential game and the game with commitments among Armenia, Azerbaijan and Russia. In the second case, the Nash equilibrium consists of not recognizing the separatist regime by Armenia, not supporting Russia’s desire for Armenia to recognize and not declaring war on Armenia: SPNE = {E2, R4, A8}. However, unlike the first option, the equilibrium obtained in the game with commitments takes on a more stable structure in relation to different political processes.
32
Zaytsev, Sergey V. "CONSTRUCTION OF GAME-THEORETIC MODELS IN THEЧMODERN ECONOMY OF ENTERPRISES AND METHODS OF THEIR MEASUREMENTS." EKONOMIKA I UPRAVLENIE: PROBLEMY, RESHENIYA 6/2, no. 138 (2023): 178–87. http://dx.doi.org/10.36871/ek.up.p.r.2023.06.02.020.
Full textAbstract:
In the conditions of the modern economy, a fairly large number of game-theoretic models are allocated, depending on the scope of application, the amount and significance of resources, as well as the state of the external environment and the state of measurements. Measurements occupy a special place in the compilation and study of game-theoretic models. Game theory is an applied interdisciplinary science that creates decision-making models in various fields in order to develop optimal solutions to a conflict or problem situation with the most profitable use of resources or information. The relevance of the topic of this article is due to the growing role of the creative approach in the economy or the development of the so-called creative economy, when a decision-maker uses his experience and mathematical and instrumental models to make a decision or create a successful project in order to enter the market. The relevance of the research topic is due to the need to improve the quality of decisions through various intelligent methods and measuring instruments for more successful decisions, as well as in order to increase the overall efficiency of decision-making at enterprises. In addition, the relevance is due to the insufficient number of studies on the theoretical component of economic and mathematical models in the digital economy.
33
Neupane, Arjun. "Digital Interactive Collaboration in Mathematical Practices of Management System." Interdisciplinary Research in Education 7, no. 2 (December 31, 2022): 37–46. http://dx.doi.org/10.3126/ire.v7i2.50471.
Full textAbstract:
Recent trends of mathematics education using the open and distance mode was more effective recent and useful. The theoretical framework was the full of the paradigm shift of the recent mode and relevant of the system. I have taught in the Operations Research in the online education and make the effective idea of the education. The pedagogy of the education in the methodology, groups of students in the schools. The different mode of student was the mode of mathematics in the Game theory, Markov chains, Queuing theory, Dynamic programming, Transportation and Assessment programs. Inventory and Replacement model and Forecasting model are the beautiful aspect in the methods. The online methods were the better for the books. The online methods were the virtual classroom, online conceptual elaboration and technology integrated pedagogy in open and distance learning (ODL). It is suggested that LMS like Moodle is more effective in teaching and learning mathematics education using open and distance mode for higher education in Nepal.
34
Kulkarni, Ankur Arun. "Game theory for best results in academics." Journal of Engineering Education Transformations 35, no. 4 (April 1, 2022): 157–62. http://dx.doi.org/10.16920/jeet/2022/v35i4/22115.
Full textAbstract:
Abstract: Game Theory (GT) is a technique or tool for analyzing the problems for studying and evolving the strategies, for reaching out towards the rational decision processes of individual persons and their interactions in an environment of a group. Game Theory focuses on studying the different approaches, in which strategic interactions among different economic agents evolve outcomes with respect to the choices (or utility) of the agents, irrespective of whether the results of their efforts were intended. Thus, mostly GT is used for a study of different mathematical models of variations, uncertainties, conflicts and interactions among intelligent; rationally deciding subjects i.e. human beings. In teaching learning process large number of students, faculties are involved. This results in large number of variables. Large number of students with unpredictable behaviors, number of faculties with different methods of teaching, makes it difficult to achieve the best academic results. So a study is undertaken and a game theory (GT) is adapted to evolve an academic system so that academic process becomes interesting for the participants that are the students and faculty. The basic reason of choosing a GT is as it allows users to consider the different variations in the chosen model. The objective of this study is to evolve a composite optimum strategy for the faculty member in-order to achieve the best possible result for any fragmented group of students. The analysis is carried out at the level of some subject in which maximum use of mathematics is observed, such as economics and financial analysis and management. Key words: game theory, strategy, risk, career, decision, higher education, fusion, check and balance
35
Kramarenko, A. О. "Effective Decision-Making: From Theory and Methods to Strategy and Leadership." Business Inform 5, no. 532 (2022): 118–25. http://dx.doi.org/10.32983/2222-4459-2022-5-118-125.
Full textAbstract:
Since the decision-making process is becoming more multifactorial and multidimensional, determined by the type of problem being solved, leadership style, limiting factors, external and internal environment of the company, it is quite logical that the materials of the article are focused on identifying the most effective decision-making tools. In the course of the study, the basic theories of decision-making were classified into 3 groups: problem-oriented theories; solution-oriented theories; role-oriented theories. It is emphasized that the dominance of theoretical approaches to decision-making determines the choice of appropriate decision-making methods, which are divided into qualitative (evaluative, expert-analytical, mixed) and quantitative (methods in conditions of certainty and methods in conditions of uncertainty). The complex of approaches and methods used forms the basis for a key decision–making strategy - analytical, heuristic or expert. The carried out content analysis of the survey results of company executives organized by McKinsey allows to identify the most common leadership styles – Catalyst, Adapter and Guardian. The correspondence between such leadership styles as Adapter and Guardian, problem-oriented theories, analytical strategies and quantitative methods of decision-making has been established. The most popular methods are methods of game theory, scenario method, Delphi method, combining expert assessments, qualitative analysis and reasonable comparison of various alternatives. The most promising directions for improving the decision-making system for business are the scientific approach, the use of mathematical and statistical analytics, the establishment of clear criteria for decision-making and measuring theresults, the maximum possible involvement of stakeholders in the discussion, high responsibility and attachment to financial results, as well as orientation to a high level of professionalism of managers and owners of companies.
36
Hakli, Raul, Kaarlo Miller, and Raimo Tuomela. "TWO KINDS OF WE-REASONING." Economics and Philosophy 26, no. 3 (October 12, 2010): 291–320. http://dx.doi.org/10.1017/s0266267110000386.
Full textAbstract:
People sometimes think in terms of ‘we’ referring to a group they belong to. When making decisions, they frame the decision problem as: ‘What should we do?’ instead of ‘What should I do?’. We study one particular approach to such ‘we-reasoning’, economist Michael Bacharach's theory of ‘team reasoning’, and relate it to philosopher Raimo Tuomela's distinction between ‘I-mode’ reasoning and ‘we-mode’ reasoning. We argue that these theories complement each other: Tuomela's philosophical theory provides a conceptual framework augmenting Bacharach's theory, and Bacharach's mathematical results support Tuomela's view on the irreducibility of the we-mode to the I-mode. We-mode reasoning can explain some kinds of human cooperative behaviour left unexplained by standard game theory. Standard game theory is not well-equipped to deal with we-mode reasoning but it can be extended by the methods developed by Bacharach. However, we argue that both standard game theory and Bacharach's theory require more attention to the information-sharing stages that precede actual decision making, and we describe a stage-based model of we-reasoning.
37
Horita, Bella. "Building a Win-Win Strategy Using Game Theory in a Competitive Environment (Subject to Antitrust Restrictions)." Scientific Bulletin of Mukachevo State University. Series «Economics» 8, no. 4 (January 24, 2022): 60–68. http://dx.doi.org/10.52566/msu-econ.8(4).2021.60-68.
Full textAbstract:
The modern economic space is characterised by the actualisation of such market structure as an oligopoly, which necessitates its proper theoretical and empirical investigation. The aim of the paper is to analyse the use of game theory in the oligopoly market under the said conditions. The theoretical methods are the main scientific methods used in this study, in particular analysis, synthesis, historical and statistical methods. It was determined that the game theory is one of the most important relatively new mathematical theories applied in developing various types of economic models, including market analysis and companies activity strategy formation. It has been confirmed that the game theory is most often applied to oligopoly market analysis i.e. the market in which two or more big players conduct activities. Their decisions influence both the market in general and other “players”' income and position in the market by influencing the output price or the volume of output (depending on the model). It is stated that there are many ways to apply game theory as the main theory and to explain the future state of the market, incomes, losses, and producers' share in the oligopoly market due to different conditions and variables. This paper has reviewed the use of game theory subject to antitrust restrictions and when oligopolistic companies mutually benefit. It was substantiated that quite often in the models generated by economists, the mutual benefit of companies in an oligopoly market implies the existence of collusion between market participants in which companies benefit more than they would under the condition of competition between them (cartel). The practical value of the paper is in the theoretical substantiation of game theories in markets in general and in providing some practical strategies for companies' operations in markets, which will also be useful for students in their studies and for other scholars of economic disciplines
38
Xie, Yiting. "Application of Nash Equilibrium: Taking the Game Between Enterprises as an Example." BCP Business & Management 44 (April 27, 2023): 915–18. http://dx.doi.org/10.54691/bcpbm.v44i.4977.
Full textAbstract:
The game theory of microeconomics is one of the important analysis and decision-making tools for managing enterprises. Von Neumann discusses the zero-sum game of two people, while Nash discusses a broader range of games. This paper aims to explore the important concept of Nash Equilibrium in game theory. With the wide application of Nash Equilibrium in different fields such as economics, politics, psychology and machine learning, it is becoming increasingly important to understand and apply Nash Equilibrium. The author first introduces the concept and mathematical definition of Nash Equilibrium, and then takes the "Prisoner's Dilemma" game as an example to elaborate its application methods and significance in detail. Subsequently, the author discusses the limitations of Nash Equilibrium, including the inability to guarantee the maximum profit, and proposes corresponding solutions. Finally, the author explores the applications of Nash Equilibrium in different fields, as well as the prospects in machine learning and artificial intelligence fields.
39
Bogatov, E. M., and N. E. Bogatova. "Research of the problem of fair distribution of fishing quotas by the methods of game theory." Contemporary Mathematics. Fundamental Directions 69, no. 2 (June 30, 2023): 224–36. http://dx.doi.org/10.22363/2413-3639-2023-69-2-224-236.
Full textAbstract:
Game theory emerged as a science in the second half of the 20th century. It managed to prove itself well in the analysis of economic situations involving several subjects of economic activity (players), whose interests are completely or partially opposite. At the same time, in a number of cases, the solution of the game satisfied all players, but was not the most profitable (there was a Nash equilibrium), and in a number of other cases, it was possible to take into account the interests of all parties to the maximum (there was a Pareto optimal solution). The transfer of the principles of game theory to other areas turned out to have a number of difficulties associated, among other things, with the correct interpretation of strategies and gains of the parties in a conflict situation. For this reason, despite the obvious benefit from the possible application of game theory methods to problems of a fair distribution of quotas for catching fish and other seafood, this step has not been taken until recently. In this paper, we consider a scheme for applying the algorithms of the theory of bimatrix and cooperative games on the example of solving the problem of finding the percentage of the allowable catch of the black halibut in the Barents Sea for two countries participating in the catch and give a meaningful interpretation of the results. The basis for the calculations was real data collected by the Russian-Norwegian Fisheries Commission in recent decades to determine the proportions of the catch of the indicated fish species in the respective sea zones. Since not all components of the payoff matrices of the players are uniquely determined, it became possible to perform a parametric analysis of the mathematical model of the conflict situation both in the search for an equilibrium solution and in the implementation of the arbitration scheme. The work is an extended and supplemented version of the report [2].
40
Mironenko, Ilya N. "MEANS OF INTELLIGENT MEASUREMENTS IN GAME-THEORETIC MODELS." EKONOMIKA I UPRAVLENIE: PROBLEMY, RESHENIYA 5/4, no. 125 (2022): 101–10. http://dx.doi.org/10.36871/ek.up.p.r.2022.05.04.014.
Full textAbstract:
In the conditions of the modern economy, a fairly wide number of game-theoretic models are distinguished, depending on the area, the amount and significance of resources, as well as the state of the external environment and measurements. The latter occupies a special place in the compilation and study of game-theoretic models. The relevance of the topic of the article is justified by the growing role of the creative approach in the economy or the development of the so-called creative economy, when a decision-maker uses his experience and mathematical and instrumental models to make a decision or create a successful project in order to enter the market. Most often, intellectual and innovative spheres of activity, as well as their interaction with the external environment and market participants, are subject to the economy of creativity. This implies the need to improve the quality of solutions through intelligent methods and means in order to increase overall efficiency in enterprises. The relevance of this article is due to the insufficient number of studies on the theoretical component of economic and mathematical models in the digital and intellectual economy. Thus, game theory and the created models implemented on the basis of methods and means of intelligent measurements require more elaboration.
41
Bertozzi, Andrea L., Shane D. Johnson, and Michael J. Ward. "Mathematical modelling of crime and security: Special Issue of EJAM." European Journal of Applied Mathematics 27, no. 3 (April 28, 2016): 311–16. http://dx.doi.org/10.1017/s0956792516000176.
Full textAbstract:
This special issue of the European journal of applied mathematics features research articles that involve the application of mathematical methodologies to the modelling of a broad range of problems related to crime and security. Some specific topics in this issue include recent developments in mathematical models of residential burglary, a dynamical model for the spatial spread of riots initiated by some triggering event, the analysis and development of game-theoretic models of crime and conflict, the study of statistically based models of insurgent activity and terrorism using real-world data sets, models for the optimal strategy of police deployment under realistic constraints, and a model of cyber crime as related to the study of spiking behaviour in social network cyberspace communications. Overall, the mathematical and computational methodologies employed in these studies are as diverse as the specific applications themselves and the scales (spatial or otherwise) to which they are applied. These methodologies range from statistical and stochastic methods based on maximum likelihood methods, Bayesian equilibria, regression analysis, self-excited Hawkes point processes, agent-based random walk models on networks, to more traditional applied mathematical methods such as dynamical systems and stability theory, the theory of Nash equilibria, rigorous methods in partial differential equations and travelling wave theory, and asymptotic methods that exploit disparate space and time scales.
42
Shchepkin, A. V., M. P. Likholip, and A. D. Bogdanov. "PROCUREMENT OF EDUCATIONAL EQUIPMENT AND BUDGET COMPETITION MODELING." Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control & Radioelectronics 24, no. 2 (May 2024): 97–106. http://dx.doi.org/10.14529/ctcr240209.
Full textAbstract:
Educational establishments regularly acquire administrative and pedagogical equipment to ensure a quality educational process. In the context of limited budgets and competition among institutions, optimal resource allocation and efficient procurement management become crucial. This study builds upon approaches by applying game theory to model procurement in the educational sector. The first part extends single-stage auction models of procurement to account for heterogeneous participant information. Acquired knowledge enables participants to reduce uncertainty in procurement outcomes and outmaneuver stronger market participants with more favorable offers. Specifically, an optimal strategy is identified for the scenario where only one player possesses information, along with a quantitative order of neutralizing the undesired advantage through additional player inclusion. The second part of the study examines mechanisms of long-term budgetary competition among schools. Well-known Rubinstein, Baron, and Ferejohn game theory models are employed to investigate this setup. A substantive analogy between competition and multi-stage negotiations is drawn, and key parameters determining competitive outcomes are delineated. The purpose of the work is to evaluate the applicability of game theory models. Materials and methods. For modeling, the mathematical apparatus of dynamic games is used, including methods of probabilistic modeling, game theory and optimization. The determining criterion for the decision of the players is the greatest utility, calculated solely based on available information. Results of the modeling are performed analytically through optimization, considering the discounting of the utility function over time. Results. Novelty of work is coupled with domain interpretation of game theory models. Modeling allows predicting agents behavior under the regulation of the procurement market and the definition of their budgeting. Conclusion. The analysis of models of game theory in relation to the field of education is accomplished. It is shown that the degree of awareness of the players about the value functions can significantly influence their decisions and the results of procurement.
43
Zhukovskiy, Vladislav I., and Lidiya V. Zhukovskaya. "On the Concept of Equilibrium in Sanctions and Countersanctions in a Differential Game." Mathematics 11, no. 20 (October 23, 2023): 4402. http://dx.doi.org/10.3390/math11204402.
Full textAbstract:
This paper develops the methodology for modeling decision processes in complex controlled dynamic systems. The idea of balancing such systems (driving them to equilibrium) is implemented, and a new mechanism for the equilibria’s stability is proposed. Such an approach involves economic–mathematical modeling jointly with systems analysis methods, economics, law, sociology, game theory, management, and performance measurement. A linear-quadratic positional differential game of several players is considered. Coefficient criteria under which the game has an equilibrium in sanctions and countersanctions and, simultaneously, no Nash equilibrium are derived. The economic and legal model of active equilibrium is studied through the legal concept of sanctions, which enlarges the practical application of this class of problems.
44
Krashenin, Oleksandr, Oleksandr Klymenko, Olena Ponomarenko, and Serhii Yakovlev. "Justification of Statutory Service Life Extension of Locomotives on the Basis of Theory of Aging." International Journal of Engineering & Technology 7, no. 4.3 (September 15, 2018): 174. http://dx.doi.org/10.14419/ijet.v7i4.3.19731.
Full textAbstract:
The article is devoted to statutory service life extension of locomotives on the basis of mathematical methods and provisions of the following theories: reliability, games, probability, aging, pattern recognition, and others. Methods of reliability theory have been used to simulate a system of repairs and critical assessment of options for organization of maintenance and repair in excess of statutory service life of locomotives. Methods of game theory are used to determine the tactics of locomotive maintenance over normative term of use. Methods of probability theory and mathematical statistics are used for collecting and processing initial data, the laws of distribution of random variables of working properties and loads are determined in the calculation of the reliability of bearing structures of locomotives, as well as the effectiveness of replacing the old rolling stock with a new one. Methods based on the theory of aging to determine values of criteria for estimating boundary terms for various variants of the strategy of prolonging the operation of locomotives in excess of the normative term. Methods of pattern recognition theory are used to adjust the system of obtaining locomotives in excess of the normative lifetime.
45
Trenchev, Ivan, Willian Dimitrov, Georgi Dimitrov, Tanya Ostrovska, and Miglena Trencheva. "Mathematical Approaches Transform Cybersecurity from Protoscience to Science." Applied Sciences 13, no. 11 (May 26, 2023): 6508. http://dx.doi.org/10.3390/app13116508.
Full textAbstract:
The area of cybersecurity problems has reached the stage of becoming a science. This raises questions about the connection between the mathematical theories used in cybersecurity research and their relation to the methodology for experiments and conceptual models synthesized from the academic community. This research proposes an analytical review of the mathematical ideas used in applied cyber-security and theoretical explorations. This meta viewpoint is dedicated to standard mathematical theories applied in cybersecurity issues. The ground of the work is methodological problems relating to the validation of experiments and models with mathematical ideas in the cybersecurity exploration of digital space. This research emphasizes the application of game theory, catastrophe theory, queuing systems, and Markov chains. The methods are shown without claiming to be exhaustive. The goal is to review the currently established implementation of mathematical approaches to cybersecurity. A spectrum of possibilities for applying mathematical apparatus in future research for cybersecurity is given. After a review of the literature for each presented mathematical approach, we expose a list of problematic areas in which this has already been implemented.
46
Gershowitz, Uri, and Denis Kuzyutin. "The resistance to Aristotelianism in Jewish culture: game-theoretical analysis of the conflict around Maimonides' manuscripts in the 13th century." ΣΧΟΛΗ. Ancient Philosophy and the Classical Tradition 15, no. 1 (2021): 126–60. http://dx.doi.org/10.25205/1995-4328-2021-15-1-126-160.
Full textAbstract:
The Maimonidean Controversy at the beginning of the 13th century was one of the most significant conflicts in the midst of the Jewish diasporas in the Middle Ages. The conflict followed a vivid discussion on the treatises of Maimonides and the interpretation of Judaism in the light of Aristotelian philosophy. Almost all of major Jewish communities in Europe were drawn in this conflict. Moreover, at some point the conflict expanded outside of the Jewish world, so that some works of Maimonides were burnt by the Christian Inquisition as heretical books. Despite the significance of these events and the trace left in the memory of the Jewish people, there is not much reliable evidence about them. The authors aim to discuss the history of this conflict, focusing on the problematic aspects of the Maimonides’ teaching, and to make a reconstruction of the events occurred, to provide a specification of main characteristics of the conflict interaction (the players, their strategies and preferences, possible outcomes of the conflict, conflict dynamics, etc.), to design a game-theoretical model of the social conflict under consideration and to explore this model using the methods of mathematical game theory. It turns out that the majority of the players' actions correspond to optimal behavior concepts employed in game theory (bargaining solutions, Pareto efficiency, Nash equilibria). However, some actions obviously contradict the concept of rational behavior (one of the fundamental assumptions in mathematical game theory), and namely these actions induced the conflict escalation and such a tragic outcome.
47
Fan, Jingyi. "Investigation into Forecasting Personal Loan Defaults and Managing Risk Using Bayesian Game Theory." Advances in Economics, Management and Political Sciences 85, no. 1 (May 28, 2024): 210–15. http://dx.doi.org/10.54254/2754-1169/85/20240890.
Full textAbstract:
Drawing from Bayesian game theory, this research delves into the associated issues of predicting personal loan defaults and managing risks. The precise forecast of personal loan default risk is achieved through the creation of a mathematical model, taking into account partial information and behaviors to avoid risk. The efficacy of this technique in managing risks is confirmed through the examination of empirical evidence and simulated tests. Findings indicate that the Bayesian game theory-based personal loan default forecasting model significantly enhances risk management precision and efficiency, holding substantial guiding importance for financial entities. The research offers a fresh viewpoint and approach to managing the risks associated with personal loan defaults, holding both theoretical and practical importance. The research highlights how technological progress enhances the precision and effectiveness of predictive models. Integrating machine learning techniques with Bayesian game theory paves the way for new methods in analyzing extensive datasets, thus enhancing risk management techniques. This research enhances comprehension of predicting personal loan defaults through Bayesian game theory and also showcases its use in developing stronger risk management systems. This research's consequences are extensive, providing crucial understanding for banks, financial entities, and decision-makers seeking to reduce the hazards linked to individual loans.
48
Maksimov, Alexander. "Decision support methods in emergency management: a review of research." National Security and Strategic Planning 2023, no. 2 (September 28, 2023): 91–102. http://dx.doi.org/10.37468/2307-1400-2023-2-91-102.
Full textAbstract:
The article examines the problem of operational management in emergencies. At the content level, an analysis of strategic, tactical and operational management in emergency situations was carried out, and their intended purpose was determined. The content of operational management decisions at different stages of emergency situations has been studied. Limitations that directly affect operational management in emergencies have been identified.
A systematic analysis of scientific research is carried out and examples are given in the context of work related to operational management in emergencies regarding the stages of emergency development. Research highlights include articles in the fields of mathematical modeling, simulation modeling, game theory and decision making, artificial intelligence and knowledge management. The main promising directions for further research have been identified.
49
Vilkov, V. B., V. A. Plotnikov, P. V. Plotnikov, and A. K. Chernykh. "A Methodological Approach to Identifying the Optimal Market Behavior Strategy Based on Fuzzy Game Modeling." Economics and Management 26, no. 10 (December 26, 2020): 1148–57. http://dx.doi.org/10.35854/1998-1627-2020-10-1148-1157.
Full textAbstract:
The presented study models market behavior strategies for firms in real (“impure”) markets.Aim. The presented study aims to develop tools for optimizing (according to the criterion of profit maximization) the market behavior of firms based on the achievements of modern mathematics.Tasks. The authors describe theoretical approaches to modeling the behavior of firms; define the problem of modeling the market behavior of firms in the language of game theory; modify the game model by implementing elements of the theory of fuzzy logic and fuzzy sets; develop and test a methodological approach to identifying the optimal behavior of firms based on fuzzy game modeling.Methods. This study uses general methods of economic and mathematical modeling, provisions of neoclassical and institutional firm theory, tools of game theory and the theory of fuzzy logic and fuzzy sets.Results. The optimal market behavior strategy for firms selling the same product is determined. The implementation of this strategy focuses on maximizing profits with allowance for the imperfections of real markets. A rigorous solution to this problem is proposed, based on the provisions of game theory, theory of fuzzy sets and fuzzy logic. The developed methodological approach to identifying the optimal market behavior strategy based on fuzzy game modeling is illustrated by a meaningful example.Conclusions. The developed and tested methodological approach to identifying the optimal market behavior strategy based on fuzzy game modeling described in the article allows firms to search for optimal strategies with allowance for the imperfections of real markets. It can be used for theoretical modeling of the behavior of firms in an “impure” market, including in a mixed economy, where the government has a certain degree of planning and administrative influence on economic processes. The proposed approach can be recommended for use by the management of firms in the development and implementation of competitive strategies.
50
Vendina, A. A., and K. A. Kirichek. "Teaching younger students to solve problems to determine a winning strategy." Informatics in school, no. 5 (November 25, 2023): 62–66. http://dx.doi.org/10.32517/2221-1993-2023-22-5-62-66.
Full textAbstract:
One of the ways to effectively teach informatics in primary school is to provide an entertaining character of learning. Entertaining tasks include tasks for game strategies that allow younger schoolchildren to learn to search for a winning strategy when playing with chips, checkers, dominoes, mathematical lotto, etc. The purpose of the article is to describe the features of teaching younger schoolchildren to solve problems to determine a winning strategy in an analytical way. The article discusses the basic concepts of game theory necessary for solving problems of determining a winning strategy at the level of primary general education: the definition of mathematical games, their rules, the concepts of winning strategy and correct game. The methods of solving games with a symmetric winning strategy and with a winning strategy of addition to a number, a description of winning strategies and an example of an algorithm for one of the considered problems are given. It is concluded that the ability to determine a winning strategy can be attributed to meta-subject skills.