Academic literature on the topic 'Game Theory/Mathematical Methods'

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Journal articles on the topic "Game Theory/Mathematical Methods"

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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.

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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.”
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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.

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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.
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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.

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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.
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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.

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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.
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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.

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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.
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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.

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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.
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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.

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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.
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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.

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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
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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.

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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.
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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.

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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.
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Dissertations / Theses on the topic "Game Theory/Mathematical Methods"

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Terry, Elaine Audrey. "Problem solving methods in game theory." DigitalCommons@Robert W. Woodruff Library, Atlanta University Center, 1988. http://digitalcommons.auctr.edu/dissertations/1796.

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Game theory is the mathematical theory associated with winning strategic and non-strategic games. In order to win a game, a player must find an optimal strategy to play. Strategies may be either pure or mixed. The latter is used when there are no pure strategies available . Games that require mixed strategies may be solved by various methods. This study is concerned with the basic theory of games. Definitions and methods for solving games are discussed. The methods for solving involve both pure and mixed strategies. The simplex method for solving linear programming problems is reviewed. The numerical examples were solved using the IBM Macintosh with the MacSimplex package.
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Cisneros-Molina, Myriam. "Mathematical methods for valuation and risk assessment of investment projects and real options." Thesis, University of Oxford, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.491350.

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In this thesis, we study the problems of risk measurement, valuation and hedging of financial positions in incomplete markets when an insufficient number of assets are available for investment (real options). We work closely with three measures of risk: Worst-Case Scenario (WCS) (the supremum of expected values over a set of given probability measures), Value-at-Risk (VaR) and Average Value-at-Risk (AVaR), and analyse the problem of hedging derivative securities depending on a non-traded asset, defined in terms of the risk measures via their acceptance sets. The hedging problem associated to VaR is the problem of minimising the expected shortfall. For WCS, the hedging problem turns out to be a robust version of minimising the expected shortfall; and as AVaR can be seen as a particular case of WCS, its hedging problem is also related to the minimisation of expected shortfall. Under some sufficient conditions, we solve explicitly the minimal expected shortfall problem in a discrete-time setting of two assets driven by correlated binomial models. In the continuous-time case, we analyse the problem of measuring risk by WCS, VaR and AVaR on positions modelled as Markov diffusion processes and develop some results on transformations of Markov processes to apply to the risk measurement of derivative securities. In all cases, we characterise the risk of a position as the solution of a partial differential equation of second order with boundary conditions. In relation to the valuation and hedging of derivative securities, and in the search for explicit solutions, we analyse a variant of the robust version of the expected shortfall hedging problem. Instead of taking the loss function $l(x) = [x]^+$ we work with the strictly increasing, strictly convex function $L_{\epsilon}(x) = \epsilon \log \left( \frac{1+exp\{−x/\epsilon\} }{ exp\{−x/\epsilon\} } \right)$. Clearly $lim_{\epsilon \rightarrow 0} L_{\epsilon}(x) = l(x)$. The reformulation to the problem for L_{\epsilon}(x) also allow us to use directly the dual theory under robust preferences recently developed in [82]. Due to the fact that the function $L_{\epsilon}(x)$ is not separable in its variables, we are not able to solve explicitly, but instead, we use a power series approximation in the dual variables. It turns out that the approximated solution corresponds to the robust version of a utility maximisation problem with exponential preferences $(U(x) = −\frac{1}{\gamma}e^{-\gamma x})$ for a preferenes parameter $\gamma = 1/\epsilon$. For the approximated problem, we analyse the cases with and without random endowment, and obtain an expression for the utility indifference bid price of a derivative security which depends only on the non-traded asset.
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Kuipers, Jeroen. "Combinatorial methods in cooperative game theory." Maastricht : Maastricht : Datawyse/Universitaire Pers Maastricht ; University Library, Maastricht University [Host], 1994. http://arno.unimaas.nl/show.cgi?fid=6950.

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Deligiannis, Anastasios. "Mathematical optimization and game theoretic methods for radar networks." Thesis, Loughborough University, 2016. https://dspace.lboro.ac.uk/2134/22732.

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Radar systems are undoubtedly included in the hall of the most momentous discoveries of the previous century. Although radars were initially used for ship and aircraft detection, nowadays these systems are used in highly diverse fields, expanding from civil aviation, marine navigation and air-defence to ocean surveillance, meteorology and medicine. Recent advances in signal processing and the constant development of computational capabilities led to radar systems with impressive surveillance and tracking characteristics but on the other hand the continuous growth of distributed networks made them susceptible to multisource interference. This thesis aims at addressing vulnerabilities of modern radar networks and further improving their characteristics through the design of signal processing algorithms and by utilizing convex optimization and game theoretic methods. In particular, the problems of beamforming, power allocation, jammer avoidance and uncertainty within the context of multiple-input multiple-output (MIMO) radar networks are addressed. In order to improve the beamforming performance of phased-array and MIMO radars employing two-dimensional arrays of antennas, a hybrid two-dimensional Phased-MIMO radar with fully overlapped subarrays is proposed. The work considers both adaptive (convex optimization, CAPON beamformer) and non-adaptive (conventional) beamforming techniques. The transmit, receive and overall beampatterns of the Phased-MIMO model are compared with the respective beampatterns of the phased-array and the MIMO schemes, proving that the hybrid model provides superior capabilities in beamforming. By incorporating game theoretic techniques in the radar field, various vulnerabilities and problems can be investigated. Hence, a game theoretic power allocation scheme is proposed and a Nash equilibrium analysis for a multistatic MIMO network is performed. A network of radars is considered, organized into multiple clusters, whose primary objective is to minimize their transmission power, while satisfying a certain detection criterion. Since no communication between the clusters is assumed, non-cooperative game theoretic techniques and convex optimization methods are utilized to tackle the power adaptation problem. During the proof of the existence and the uniqueness of the solution, which is also presented, important contributions on the SINR performance and the transmission power of the radars have been derived. Game theory can also been applied to mitigate jammer interference in a radar network. Hence, a competitive power allocation problem for a MIMO radar system in the presence of multiple jammers is investigated. The main objective of the radar network is to minimize the total power emitted by the radars while achieving a specific detection criterion for each of the targets-jammers, while the intelligent jammers have the ability to observe the radar transmission power and consequently decide its jamming power to maximize the interference to the radar system. In this context, convex optimization methods, noncooperative game theoretic techniques and hypothesis testing are incorporated to identify the jammers and to determine the optimal power allocation. Furthermore, a proof of the existence and the uniqueness of the solution is presented. Apart from resource allocation applications, game theory can also address distributed beamforming problems. More specifically, a distributed beamforming and power allocation technique for a radar system in the presence of multiple targets is considered. The primary goal of each radar is to minimize its transmission power while attaining an optimal beamforming strategy and satisfying a certain detection criterion for each of the targets. Initially, a strategic noncooperative game (SNG) is used, where there is no communication between the various radars of the system. Subsequently, a more coordinated game theoretic approach incorporating a pricing mechanism is adopted. Furthermore, a Stackelberg game is formulated by adding a surveillance radar to the system model, which will play the role of the leader, and thus the remaining radars will be the followers. For each one of these games, a proof of the existence and uniqueness of the solution is presented. In the aforementioned game theoretic applications, the radars are considered to know the exact radar cross section (RCS) parameters of the targets and thus the exact channel gains of all players, which may not be feasible in a real system. Therefore, in the last part of this thesis, uncertainty regarding the channel gains among the radars and the targets is introduced, which originates from the RCS fluctuations of the targets. Bayesian game theory provides a framework to address such problems of incomplete information. Hence, a Bayesian game is proposed, where each radar egotistically maximizes its SINR, under a predefined power constraint.
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Marston, Matthew C. "Game based design : a game theory based approach to engineering design." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/15877.

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Mehta, Aranyak. "Algorithmic Game Theory." Diss., Georgia Institute of Technology, 2005. http://hdl.handle.net/1853/7220.

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The interaction of theoretical computer science with game theory and economics has resulted in the emergence of two very interesting research directions. First, it has provided a new model for algorithm design, which is to optimize in the presence of strategic behavior. Second, it has prompted us to consider the computational aspects of various solution concepts from game theory, economics and auction design which have traditionally been considered mainly in a non-constructive manner. In this thesis we present progress along both these directions. We first consider optimization problems that arise in the design of combinatorial auctions. We provide an online algorithm in the important case of budget-bounded utilities. This model is motivated by the recent development of the business of online auctions of search engine advertisements. Our algorithm achieves a factor of $1-1/e$, via a new linear programming based technique to determine optimal tradeoffs between bids and budgets. We also provide lower bounds in terms of hardness of approximation in more general submodular settings, via a PCP-based reduction. Second, we consider truth-revelation in auctions, and provide an equivalence theorem between two notions of strategy-proofness in randomized auctions of digital goods. Last, we consider the problem of computing an approximate Nash equilibrium in multi-player general-sum games, for which we provide the first subexponential time algorithm.
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Jacquot, Paulin. "Game theory and Optimization Methods for Decentralized Electric Systems." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX101/document.

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Dans le contexte de transition vers un système électrique décentralisé et intelligent, nous abordons le problème de la gestion des flexibilités de consommation électriques. Nous développons différentes méthodes basées sur l'optimisation distribuée et la théorie des jeux.Nous commençons par adopter le point de vue d'un opérateur central en charge de la gestion des flexibilités de plusieurs agents. Nous présentons un algorithme distribué permettant le calcul des profils de consommations des agents optimaux pour l'opérateur.Cet algorithme garantit la confidentialité des agents~: les contraintes individuelles, ainsi que le profil individuel de consommation de chaque agent, ne sont jamais révélés à l'opérateur ni aux autres agents.Ensuite, nous adoptons dans un second modèle une vision plus décentralisée et considérons un cadre de théorie des jeux pour la gestion des flexibilités de consommation.Cette approche nous permet en particulier de modéliser les comportements stratégiques des consommateurs.Dans ce cadre, une classe de jeux adéquate est donnée par les jeux de congestion atomiques fractionnables.Nous obtenons plusieurs résultats théoriques concernant les équilibres de Nash dans cette classe de jeux, et nous quantifions l'efficacité de ces équilibres en établissant des bornes supérieures sur le prix de l'anarchie.Nous traitons la question du calcul décentralisé des équilibres de Nash dans ce contexte en étudiant les conditions et les vitesses de convergence des algorithmes de meilleure réponse et de gradient projeté.En pratique un opérateur peut faire face à un très grand nombre de joueurs, et calculer les équilibres d'un jeu de congestion dans ce cas est difficile.Afin de traiter ce problème, nous établissons des résultats sur l'approximation d'un équilibre dans les jeux de congestion et jeux agrégatifs avec un très grand nombre de joueurs et en présence de contraintes couplantes.Ces résultats, obtenus dans le cadre des inégalités variationnelles et sous certaines hypothèses de monotonie, peuvent être utilisés pour calculer un équilibre approché comme solution d'un problème de petite dimension.Toujours dans la perspective de modéliser un très grand nombre d'agents, nous considérons des jeux de congestion nonatomiques avec contraintes couplantes et avec une infinité de joueurs hétérogènes~: ce type de jeux apparaît lorsque les caractéristiques d'une population sont décrites par une fonction de distribution paramétrique.Sous certaines hypothèses de monotonie, nous prouvons que les équilibres de Wardrop de ces jeux, définis comme solutions d'une inégalité variationnelle de dimension infinie, peuvent être approchés par des équilibres de Wardrop symétriques de jeux annexes, solutions d'inégalités variationnelles de petite dimension.Enfin, nous considérons un modèle de jeu pour l'étude d'échanges d'électricité pair-à-pair au sein d'une communauté de consommateurs possédant des actifs de production électrique renouvelable.Nous étudions les équilibres généralisés du jeu obtenu, qui caractérisent les échanges possibles d'énergie et les consommations individuelles.Nous comparons ces équilibres avec la solution centralisée minimisant le coût social, et nous évaluons l'efficacité des équilibres via la notion de prix de l'anarchie
In the context of smart grid and in the transition to decentralized electric systems, we address the problem of the management of distributed electric consumption flexibilities. We develop different methods based on distributed optimization and game theory approaches.We start by adopting the point of view of a centralized operator in charge of the management of flexibilities for several agents. We provide a distributed and privacy-preserving algorithm to compute consumption profiles for agents that are optimal for the operator.In the proposed method, the individual constraints as well as the individual consumption profile of each agent are never revealed to the operator or the other agents.Then, in a second model, we adopt a more decentralized vision and consider a game theoretic framework for the management of consumption flexibilities.This approach enables, in particular, to take into account the strategic behavior of consumers.Individual objectives are determined by dynamic billing mechanisms, which is motivated by the modeling of congestion effects occurring on time periods receiving a high electricity load from consumers.A relevant class of games in this framework is given by atomic splittable congestion games.We obtain several theoretical results on Nash equilibria for this class of games, and we quantify the efficiency of those equilibria by providing bounds on the price of anarchy.We address the question of the decentralized computation of equilibria in this context by studying the conditions and rates of convergence of the best response and projected gradients algorithms.In practice an operator may deal with a very large number of players, and evaluating the equilibria in a congestion game in this case will be difficult.To address this issue, we give approximation results on the equilibria in congestion and aggregative games with a very large number of players, in the presence of coupling constraints.These results, obtained in the framework of variational inequalities and under some monotonicity conditions, can be used to compute an approximate equilibrium, solution of a small dimension problem.In line with the idea of modeling large populations, we consider nonatomic congestion games with coupling constraints, with an infinity of heterogeneous players: these games arise when the characteristics of a population are described by a parametric density function.Under monotonicity hypotheses, we prove that Wardrop equilibria of such games, given as solutions of an infinite dimensional variational inequality, can be approximated by symmetric Wardrop equilibria of auxiliary games, solutions of low dimension variational inequalities.Again, those results can be the basis of tractable methods to compute an approximate Wardrop equilibrium in a nonatomic infinite-type congestion game.Last, we consider a game model for the study of decentralized peer-to-peer energy exchanges between a community of consumers with renewable production sources.We study the generalized equilibria in this game, which characterize the possible energy trades and associated individual consumptions.We compare the equilibria with the centralized solution minimizing the social cost, and evaluate the efficiency of equilibria through the price of anarchy
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Ahmed, Samah. "Perturbation field theory methods for calculating expectation values." Thesis, University of Cape Town, 2016. http://hdl.handle.net/11427/26214.

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Marsh, Christopher D. "Counter piracy a repeated game with asymmetric information." Thesis, Monterey, California : Naval Postgraduate School, 2009. http://edocs.nps.edu/npspubs/scholarly/theses/2009/Sep/09Sep%5FMarsh.pdf.

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Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 2009.
Thesis Advisor(s): Lin, Kyle Y. "September 2009." Description based on title screen as viewed on 5 November 2009. Author(s) subject terms: Piracy, game theory, Bayesian update. Includes bibliographical references (p. 37-38). Also available in print.
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Huang, Yun, and 黄赟. "Game-theoretic coordination and configuration of multi-level supply chains." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2010. http://hub.hku.hk/bib/B44904411.

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Books on the topic "Game Theory/Mathematical Methods"

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Aubin, Jean Pierre. Mathematical methods of game and economic theory. Mineola, N.Y: Dover Publications, 2007.

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Karlin, Samuel. Mathematical methods and theory in games, programming, and economics. New York: Dover, 1992.

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Ferenc, Forgó. Introduction to the theory of games: Concepts, methods, applications. Dordrecht: Kluwer Academic Publishers, 1999.

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Karlin, Samuel. Mathematical methods and theory in games, programming andeconomics. New York: Dover Pubns., 1992.

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1942-, Jørgensen Steffen, Quincampoix Marc, and Vincent Thomas L, eds. Advances in dynamic game theory: Numerical methods, algorithms and applications to ecology and economics. Boston: Birkhäuser, 2007.

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Krzysztof, Szajowski, and SpringerLink (Online service), eds. Advances in Dynamic Games: Theory, Applications, and Numerical Methods for Differential and Stochastic Games. Boston: Springer Science+Business Media, LLC, 2011.

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Cardaliaguet, Pierre. Advances in Dynamic Games: Theory, Applications, and Numerical Methods for Differential and Stochastic Games. Boston: Birkhäuser Boston, 2012.

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Vlasov, Dmitriy, Nikolay Tihomirov, and Evgeniy Smirnov. Introduction to Game Theory. ru: INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1513124.

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The textbook discusses the basic concepts of classical game theory in a simple and accessible form and presents its applications in the practice of decision-making. Particular attention is paid to the logic of game-theoretic analysis of economic situations that require quantitative justification of decisions. The considered game models and methods of their research, including logical and mathematical apparatus, have distinct and understandable economic applications for undergraduate students. Meets the requirements of the federal state educational standards of higher education of the latest generation. It is addressed to undergraduate students of economic and managerial fields who need to get acquainted with the basic concepts of game theory, but it can be useful to students of other fields of study, as well as to anyone who has a lack of competence in the field of decision-making techniques and methods.
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P, Tsokos Chris, and SpringerLink (Online service), eds. Stochastic Differential Games. Theory and Applications. Paris: Atlantis Press, 2012.

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service), SpringerLink (Online, ed. Path Player Games: Analysis and Applications. Boston, MA: Springer-Verlag US, 2009.

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Book chapters on the topic "Game Theory/Mathematical Methods"

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Melese, Francois. "A Brinkmanship Game Theory Model of Terrorism." In Mathematical Methods in Counterterrorism, 319–32. Vienna: Springer Vienna, 2009. http://dx.doi.org/10.1007/978-3-211-09442-6_19.

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Tosin, Andrea. "Kinetic Equations and Stochastic Game Theory for Social Systems." In Mathematical Models and Methods for Planet Earth, 37–57. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02657-2_4.

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Chithra, S. M. "Min-Max Game Theory for Coupled Partial Differential Equation Systems in Fluid Structure." In Mathematical Methods in Dynamical Systems, 203–12. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003328032-7.

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Popov, Leonid D. "Methods for Matrix Games with Mixed Strategies and Quantile Payoff Function." In Mathematical Optimization Theory and Operations Research, 304–18. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33394-2_24.

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McEachern, Andrew. "Mathematical Games." In Game Theory, 53–74. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-031-02118-3_5.

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Hwang, Ching-Lai, and Ming-Jeng Lin. "Game Theory." In Lecture Notes in Economics and Mathematical Systems, 306–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-61580-1_4.

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Bartholomae, Florian, and Marcus Wiens. "Mathematical Basics." In Game Theory and Applications, 315–22. Wiesbaden: Springer Fachmedien Wiesbaden, 2024. http://dx.doi.org/10.1007/978-3-658-44608-6_12.

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Berck, Peter, and Knut Sydsæter. "Non-cooperative game theory." In Economists’ Mathematical Manual, 145–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-02678-6_30.

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Berck, Peter, and Knut Sydsæter. "Non-cooperative game theory." In Economists’ Mathematical Manual, 145–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-11597-8_30.

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Sydsæter, Knut, Arne Strøm, and Peter Berck. "Non-cooperative game theory." In Economists’ Mathematical Manual, 175–78. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03995-3_30.

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Conference papers on the topic "Game Theory/Mathematical Methods"

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Alessio, Danielle, D. Marc Kilgour, Ilias Kotsireas, Roderick Melnik, and Brian West. "Game Theory and Social Psychology: Conformity Games." In ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY. AIP, 2011. http://dx.doi.org/10.1063/1.3663496.

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Szilágyi, Szilvia, Attila Körei, Zsuzsanna Török, and Ingrida Vaičiulytė. "A Game-based Learning Project – Calculating Limit of Sequences with the Didactic Game LimStorm." In Applied Scientific Research. Šiaulių valstybinė kolegija / Šiauliai State Higher Education Institution, 2023. http://dx.doi.org/10.56131/tmt.2023.2.1.96.

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The concepts of real number sequence, convergence and limit are introduced to all engineering and computer science students in their first semester mathematical analysis course. Game-based teaching methods that have proven to be effective in motivating Generation Z students are a powerful support to keep students’ attention and interest. Building on the advantages of game-based learning, we developed a card game called LimStorm, which was designed to practice the important limits of real number sequences for groups of 4-10 students. In this paper we summarise our empirical experience from the two-year pilot phase. Keywords: game-based learning, didactic game, active learning methods, limit of the sequence, card games.
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Santa Ana Lozada, PR. "E-LEARNING DURING COVID 19 PERIOD: FLIPPING THE CLASSROOM AND GAMIFICATION AS LEARNING METHODS FOR MATHEMATICAL UNDERSTANDING IN ARCHITECTURE." In The 7th International Conference on Education 2021. The International Institute of Knowledge Management, 2021. http://dx.doi.org/10.17501/24246700.2021.7102.

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Coronavirus change the world included teaching approaches. With schools closed, technology has become a powerful tool for educational purposes; the potential of elearning affects education significantly as it provides improved informational content and interactive apps to apply theoretical knowledge. Teaching methods should be considered for each subject to ensure students get significant experience. This paper summarizes findings from an empirical study involving a new integrated e-learning method for the architecture structural design course using flipping the classroom and gamification as learning methods. The e-learning solutions used were short videos containing each subject's essential theory and interactive software programmed as smartphone applications containing the course subjects. A web site with the class videos embedded and examples for solving the application's games ensures students get the same information and practice the same exercises. A comparison between classes on-site and online classes is presented to assess this new method's effects. Results were promising; students like to learn about the class subjects at their own pace; they enjoyed practicing mathematical and physics theory feeling inside a video game mood. Students gained motivation, engagement, and good grades during this online learning period; no final exam was needed as they presented a final project using the structural concepts learned. Keywords: educational innovation, flipped classroom, e-learning, gamification
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Akan, Yusuf, and Aslı Cansın Doker. "Effectiveness of Experimental Approaches in Economics: A Case of Ultimatum Games Experiments." In International Conference on Eurasian Economies. Eurasian Economists Association, 2017. http://dx.doi.org/10.36880/c08.01888.

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In economics theory literature, it has been a crucial question whether experiments can be helpful to test theory in laboratory. Since late 1940s experimental methods has been found useful in economics however there is still some doubts about unbiasedness, ability to test. The essential of economics theory is related to mathematics resulted of this deductive reasoning to inductive one with using time series data and statistical analysis. Additionally, generally in experiments and its sessions, undergraduate or graduate students are generally chosen as participants by researchers, this brings several doubts and questions together such as reliability on their choices, power of explanation and also restrictions about rationality of players which are decision makers as individual. After the 1950s with the introduction of game theory, experimental methods have been strong placed in the research. Especially market designs, rationality and behavioral design have been subjected to experiments. However, it is still crucial question whether those experimental methods could be effective or not. This study will be discussed experimental methodology with game theoretical approach using trust and ultimatum games perspective. In addition, giving the structure of the sessions and experiments, the regulations and steps will be figure systematically. This study will be discussed rational individual decision making process and try to explain how chosen games can be lasted more effective.
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Gruev, Stanislav. "EFFICIENCY OF SPORTS GAMES TRAINING FOR 12 AND 13-YEAR OLD STUDENTS." In INTERNATIONAL SCIENTIFIC CONGRESS “APPLIED SPORTS SCIENCES”. Scientific Publishing House NSA Press, 2022. http://dx.doi.org/10.37393/icass2022/125.

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ABSTRACT Training in physical ability, the development of motoric qualities and the formation of knowledge in sports are fundamental educational components of the subject of Sports Education. Interrupting their unity and interconnection may be considered as the cause for the lower levels of motoric activity in schools. A suitable program in sports games, through its complex effects and emotional impact may contribute to alleviating this problem. The goal is to develop and approbate a methodology that improves the training in football and volleyball for 12 and 13-year-old students, which relies on general learning about sports, coordination training, game drills, and education through playing the games. The specifics of the program focus on mastering the gamers components in a dynamic environment, varying conditions, physical training, a positive emotional atmosphere, and applying the game approach. The pedagogical experiment was carried out for the duration of two semesters with 98 male and female students from the sixth grade. The data from the sports and pedagogical testing was processed by mathematical and statistical methods and expert conclusions were drawn on the specifics of the inclusion of football and volleyball games. The results indicate the presence of a positive change in the motoric qualities and technical skills during the experimental games, which results from the methodology used and the active participation on behalf of the students. The assessment results in game condition reflect the positive effect of the game method.
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Grosu, Corina, and Marta Grosu. "THE CHEMICAL CLOUD." In eLSE 2013. Carol I National Defence University Publishing House, 2013. http://dx.doi.org/10.12753/2066-026x-13-128.

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The present paper contains the presentation of a new adventure educational game targeting Environmental Chemistry students. The game is supposed to attract students towards discovering the applications of Mathematics wrapped in a youth-friendly and exciting fictional environment. The game is conceived in such a way that by playing it the students' comprehension of Mathematical notions pertaining to the Environmental Chemistry field is verified and tested. All the components (the scenario, the mission, the artifacts and the game's levels) are designed to prepare the students for recognizing possible statistical models to be used in observing, analyzing and deciding for the best politics to be used against real-life environmental destruction. Actually the game is designed to be attractive and captivating by its own rules and this was achieved by creating the components with advanced 3d technology such as Autodesk 3ds Max and Smith Micro Poser, while the game engine uses the powerful engine of Unity 3d. The main objective of our work is to use game strategies to teach students from Environmental Chemistry how to integrate the Mathematical notions taught during the first and second university year into their daily work and, even more important, how to modify and adapt theoretical models to real day problems in such a way that the analysis of the results should contribute to the actual change of input data. In fact, the game shows students how to use the strong Monte Carlo method for modifying input data. This form of test and evaluation is intended to improve students' capacity to move from theory to practice and vice versa.
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Sljoka, Adnan, Offer Shai, and Walter Whiteley. "Checking Mobility and Decomposition of Linkages via Pebble Game Algorithm." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48340.

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The decomposition of linkages into Assur graphs (Assur groups) was developed by Leonid Assur in 1914 - to decompose a linkage into fundamental minimal components for the analysis and synthesis of the linkages. In the paper, some new results and new methods are introduced for solving problems in mechanisms, bringing in methods from the rigidity theory community. Using these techniques, an investigation of Assur graphs and the decomposition of linkages has reworked and extended the decomposition using the well developed mathematical concepts from theory of rigidity and directed graphs. We recall some vocabulary and provide an efficient algorithm for decomposing 2-dimensional linkages into Assur components using strongly connected decompositions of graphs and a fast combinatorial Pebble Game Algorithm, which has been recently used in the study of rigidity and flexibility of structures and in fast analysis of large biomolecular structures such as proteins. Working on a one degree of freedom mechanism, we apply our algorithm to give the Assur decomposition. The Pebble Game Algorithm on such a mechanism is presented, along with an overview of the key properties and advantages of this elegant algorithm. We show how the pebble game algorithm can be used in the analysis and synthesis of linkages to mechanical engineering community. Core techniques and algorithms easily generalize to 3-dimensional structures, and can be further adapted to entire suite of other (body-bar) types of kinematic structures.
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Slavutin, Michael, Offer Shai, and Andreas Müller. "Mobility Determination of Mechanisms Based on Rigidity Theory." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-71289.

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Rigidity theory deals mostly with the topological computation in mechanical systems, i.e. it aims at making generic statements. Mechanism theory is mainly concerned with the geometrical analysis but again also with generic statements. Even more so for mobility analysis where one is interested in both the generic mobility and that of a particular mechanism. In rigidity theory the mathematical foundation is the topology representation using bar-joint and body-bar graphs, and the corresponding rigidity matrix. In this paper novel geometric rules for constructing the body-bar rigidity matrix are derived for general planar mechanisms comprising revolute and prismatic joints. This allows, for the first time, the treatment of general planar mechanisms with the body-bar approach. The rigidity matrix is also derived for spatial mechanisms with spherical joints. The bar-joint rigidity matrix is shown to be a special case of body-bar representation. It is shown that the rigidity matrices allow for mobility calculation as shown in the paper. This paper is aimed at supplying a unified view and as a result to enable the mechanisms community to employ the theorems and methods used in rigidity theory. An algorithm for mobility determination — the pebble game — is discussed. This algorithm always finds the correct generic mobility if the mechanism can be represented by a body-bar graph.
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Osborne, Patrick. "Blockchain and Smart Contracts for Know Your Customer (KYC)." In Construction Blockchain Conference 2021. Design Computation, 2021. http://dx.doi.org/10.47330/cbc.2021.jtvv4544.

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Distributed Ledger Technology (DLT) and Blockchain Technology (BCT) are options for introducing smart and transitive energy trading via a Know Your Customer or Know Your Client (KYC) system using an Ethereum Blockchain. The most significant context in which BCT can create transformative change is in the verification of other parties in an energy trading system. Currently the KYC trade mostly relies on internal controls to send and receive KYC information across the globe, resulting in slower and error prone data management and governance. BCT can solve this by providing immutable and verifiable data sources. Implementing smart contract addressing, the issue of storing critical data necessary at different stages of KYC and making it verifiable by all stakeholders is of critical importance. The literature review looks at the current research in BCT, programming languages used in BCT, Game Theory, Zero-Knowledge Proofs and energy trading in context to KYC. Having a foundational concept mathematically by creating game theoretic models and a simple computer programming simulation is the first step in the task of creating a true BCT platform that can be used in energy trading for KYC. Simulating the scenarios of n-player games is important to the advancement of this platform. The key result of these games and interaction between traders will help change the trading systems regionally and internationally. This can deliver new ways of working and brings visibility and control to each energy trade. The researcher analyses the strength of the system through the decisions of the traders using infinite games. New trading strategies and BCT resources with different parameters gain a larger market presence in international trade with these proofs, codifications and simulations. A gap exists in the literature in BCT in the creation of game theory algorithms as well as using simulation tools and software and using these methods to create forecasted energy trading scenarios with the implementation of KYC. Looking at an infinite game mathematically and presenting a simple codified computer simulation using Ethereum via Solidity involving a supplier, operator and regulator will give new implications in game theory and conflict-resolution scenarios within context to energy trading and KYC via BCT.
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Nanno, Dan, and Hideyoshi Yanagisawa. "Effect of Assistive Methods on the Sense of Fulfillment With Agency: Modeling With Flow and Attribution Theories." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97500.

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Abstract Several assistive technologies for users’ operations have been recently developed. A user’s sense of agency (SoA) decreases with increasing system assistance, possibly resulting in a decrease in the user’s sense of fulfillment. This study aims to provide a design guideline for an assistive method to maintain and improve the sense of fulfillment with SoA. We propose a mathematical model describing the mechanisms by which the assistive method affects SoA and SoA induces a sense of fulfillment. The experience in the flow state is assumed to be a sense of fulfillment. The assistance effect on the skill-challenge plane in flow theory is defined as an increase in skill and decrease in challenge. The factor that separates the two effects from attribution theory is the locus of causality, which is matched to the judgement of agency (JoA) from the two-step account of agency. We hypothesized that the assistance increases the perception of skill and sense of fulfillment is greater when the locus of causality is internal, rather than external. To verify this hypothesis, a game task experiment was conducted with assistance that varied with the ease of recognition. We hypothesized that a player’s JoA is internal for hard-to-recognize assistance, resulting in a high sense of fulfillment. Experimental results supported this hypothesis.
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Reports on the topic "Game Theory/Mathematical Methods"

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Sagar, B., and A. Runchal. PORFLO-3: A mathematical model for fluid flow, heat, and mass transport in variably saturated geologic media; Theory and numerical methods, Version 1.0. Office of Scientific and Technical Information (OSTI), March 1990. http://dx.doi.org/10.2172/137710.

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Huang, Houqiang, Min Huang, Qi Chen, Mark Hayter, and Roger Hayter. Health-related Serious Games on the Rehabilitation for Patients with COPD: Systematic Review Protocol. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, December 2022. http://dx.doi.org/10.37766/inplasy2022.12.0062.

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Review question / Objective: The aim of this systematic review is to identify effectiveness and patients’ demand on serious games for COPD patients as well as to recognize potential research gaps in this area by synthesizing and appraising studies examining effects of serious games on COPD patients. Eligibility criteria: OutcomesThe outcomes that include health-related endpoints such as pulmonary function, exercise capacity, dyspnea, compliance, or adverse effects, will be enrolled.Further inclusion criteriaStudies must be peer-reviewed and be in English or Chinese.Exclusion criteriaStudies will be excluded for the following reasons: (1) duplicate records;, (2) studies focused on measurement; diagnostic methods, serious game theory or game development; and (3) conference abstracts or studies that cannot find out full texts.
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Kiianovska, N. M. The development of theory and methods of using cloud-based information and communication technologies in teaching mathematics of engineering students in the United States. Видавничий центр ДВНЗ «Криворізький національний університет», December 2014. http://dx.doi.org/10.31812/0564/1094.

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The purpose of the study is the analysis of the development of the theory and methods of ICT usage while teaching higher mathematics engineering students in the United States. It was determined following tasks: to analyze the problem source, to identify the state of its elaboration, to identify key trends in the development of theory and methods of ICT usage while teaching higher mathematics engineering students in the United States, the object of study – the use of ICT in teaching engineering students, the research methods are: analysis of scientific, educational, technical, historical sources; systematization and classification of scientific statements on the study; specification, comparison, analysis and synthesis, historical and pedagogical analysis of the sources to establish the chronological limits and implementation of ICT usage in educational practice of U.S. technical colleges. In article was reviewed a modern ICT tools used in learning of fundamental subjects for future engineers in the United States, shown the evolution and convergence of ICT learning tools. Discussed experience of the «best practices» using online ICT in higher engineering education at United States. Some of these are static, while others are interactive or dynamic, giving mathematics learners opportunities to develop visualization skills, explore mathematical concepts, and obtain solutions to self-selected problems. Among ICT tools are the following: tools to transmit audio and video data, tools to collaborate on projects, tools to support object-oriented practice. The analysis leads to the following conclusion: using cloud-based tools of learning mathematic has become the leading trend today. Therefore, university professors are widely considered to implement tools to assist the process of learning mathematics such properties as mobility, continuity and adaptability.
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Lovianova, Iryna V., Dmytro Ye Bobyliev, and Aleksandr D. Uchitel. Cloud calculations within the optional course Optimization Problems for 10th-11th graders. [б. в.], September 2019. http://dx.doi.org/10.31812/123456789/3267.

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The article deals with the problem of introducing cloud calculations into 10th-11th graders’ training to solve optimization problems in the context of the STEM-education concept. After analyzing existing programmes of optional courses on optimization problems, the programme of the optional course Optimization Problems has been developed and substantiated implying solution of problems by the cloud environment CoCalc. It is a routine calculating operation and not a mathematical model that is accentuated in the programme. It allows considering more problems which are close to reality without adapting the material while training 10th-11th graders. Besides, the mathematical apparatus of the course which is partially known to students as the knowledge acquired from such mathematics sections as the theory of probability, mathematical statistics, mathematical analysis and linear algebra is enough to master the suggested course. The developed course deals with a whole class of problems of conventional optimization which vary greatly. They can be associated with designing devices and technological processes, distributing limited resources and planning business functioning as well as with everyday problems of people. Devices, processes and situations to which a model of optimization problem is applied are called optimization problems. Optimization methods enable optimal solutions for mathematical models. The developed course is noted for building mathematical models and defining a method to be applied to finding an efficient solution.
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Modlo, Yevhenii O., Serhiy O. Semerikov, Ruslan P. Shajda, Stanislav T. Tolmachev, and Oksana M. Markova. Methods of using mobile Internet devices in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects. [б. в.], July 2020. http://dx.doi.org/10.31812/123456789/3878.

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The article describes the components of methods of using mobile Internet devices in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects: using various methods of representing models; solving professional problems using ICT; competence in electric machines and critical thinking. On the content of learning academic disciplines “Higher mathematics”, “Automatic control theory”, “Modeling of electromechanical systems”, “Electrical machines” features of use are disclosed for Scilab, SageCell, Google Sheets, Xcos on Cloud in the formation of the general professional component of bachelor in electromechanics competency in modeling of technical objects. It is concluded that it is advisable to use the following software for mobile Internet devices: a cloud-based spreadsheets as modeling tools (including neural networks), a visual modeling systems as a means of structural modeling of technical objects; a mobile computer mathematical system used at all stages of modeling; a mobile communication tools for organizing joint modeling activities.
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Hrebeniuk, Bohdan V. Modification of the analytical gamma-algorithm for the flat layout of the graph. [б. в.], December 2018. http://dx.doi.org/10.31812/123456789/2882.

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The planarity of graphs is one of the key sections of graph theory. Although a graph is an abstract mathematical object, most often it is graph visualization that makes it easier to study or develop in a particular area, for example, the infrastructure of a city, a company’s management or a website’s web page. In general, in the form of a graph, it is possible to depict any structures that have connections between the elements. But often such structures grow to such dimensions that it is difficult to determine whether it is possible to represent them on a plane without intersecting the bonds. There are many algorithms that solve this issue. One of these is the gamma method. The article identifies its problems and suggests methods for solving them, and also examines ways to achieve them.
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Striuk, Andrii M. Software engineering: first 50 years of formation and development. [б. в.], December 2018. http://dx.doi.org/10.31812/123456789/2880.

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The article analyzes the main stages of software engineering (SE) development. Based on the analysis of materials from the first SE conferences (1968-1969), it was determined how the software crisis prompted scientists and practitioners to join forces to form an engineering approach to programming. Differences in professional training for SE are identified. The fundamental components of the training of future software engineers are highlighted. The evolution of approaches to the design, implementation, testing and documentation of software is considered. The system scientific, technological approaches and methods for the design and construction of computer programs are highlighted. Analysis of the historical stages of the development of SE showed that despite the universal recognition of the importance of using the mathematical apparatus of logic, automata theory and linguistics when developing software, it was created empirically without its use. The factor that led practitioners to turn to the mathematical foundations of an SE is the increasing complexity of software and the inability of empirical approaches to its development and management to cope with it. The training of software engineers highlighted the problem of the rapid obsolescence of the technological content of education, the solution of which lies in its fundamentalization through the identification of the basic foundations of the industry. It is determined that mastering the basics of computer science is the foundation of vocational training in SE.
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