Academic literature on the topic 'Two-person zero-sum games'
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Journal articles on the topic "Two-person zero-sum games"
Baykal-Gürsoy, Melike. "Two-person zero-sum stochastic games." Annals of Operations Research 28, no. 1 (December 1991): 135–52. http://dx.doi.org/10.1007/bf02055578.
Full textLal, Arbind K., and Sagnik Sinha. "Zero-sum two-person semi-Markov games." Journal of Applied Probability 29, no. 1 (March 1992): 56–72. http://dx.doi.org/10.2307/3214791.
Full textLal, Arbind K., and Sagnik Sinha. "Zero-sum two-person semi-Markov games." Journal of Applied Probability 29, no. 01 (March 1992): 56–72. http://dx.doi.org/10.1017/s002190020010662x.
Full textYang, Yan Mei, Yan Guo, Li Chao Feng, and Jian Yong Di. "Solving Two-Person Zero-Sum Game by Matlab." Applied Mechanics and Materials 50-51 (February 2011): 262–65. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.262.
Full textLlewellyn, Donna Crystal, Craig Tovey, and Michael Trick. "Finding Saddlepoints of Two-Person, Zero Sum Games." American Mathematical Monthly 95, no. 10 (December 1988): 912. http://dx.doi.org/10.2307/2322384.
Full textLlewellyn, Donna Crystal, Craig Tovey, and Michael Trick. "Finding Saddlepoints of Two-Person, Zero Sum Games." American Mathematical Monthly 95, no. 10 (December 1988): 912–18. http://dx.doi.org/10.1080/00029890.1988.11972116.
Full textWashburn, Alan, and Kevin Wood. "Two-Person Zero-Sum Games for Network Interdiction." Operations Research 43, no. 2 (April 1995): 243–51. http://dx.doi.org/10.1287/opre.43.2.243.
Full textForges, Francoise. "Correlated Equilibrium in Two-Person Zero-Sum Games." Econometrica 58, no. 2 (March 1990): 515. http://dx.doi.org/10.2307/2938215.
Full textLaraki, R., A. P. Maitra, and W. D. Sudderth. "Two-Person Zero-Sum Stochastic Games with Semicontinuous Payoff." Dynamic Games and Applications 3, no. 2 (September 5, 2012): 162–71. http://dx.doi.org/10.1007/s13235-012-0054-7.
Full textHyeong Soo Chang and S. I. Marcus. "Two-person zero-sum markov games: receding horizon approach." IEEE Transactions on Automatic Control 48, no. 11 (November 2003): 1951–61. http://dx.doi.org/10.1109/tac.2003.819077.
Full textDissertations / Theses on the topic "Two-person zero-sum games"
Limsakul, Piya. "Iterative algorithms for two-person zero-sum games." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1999. http://handle.dtic.mil/100.2/ADA362910.
Full text"March 1999". Thesis advisor(s): Alan R. Washburn, James N. Eagle. Includes bibliographical references (p. 47). Also available online.
Lee, Moon Gul. "New fictitious play procedure for solving Blotto games." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2004. http://library.nps.navy.mil/uhtbin/hyperion/04Dec%5FLee%5Moon.pdf.
Full textThesis Advisor(s): James N. Eagle, W. Matthew Carlyle. Includes bibliographical references (p. 35). Also available online.
Iriberri, Nagore. "Essays in behavioral game theory : auctions, hide and seek, and coordination /." Diss., Connect to a 24 p. preview or request complete full text in PDF formate. Access restricted to UC campuses, 2006. http://wwwlib.umi.com/cr/ucsd/fullcit?p3244177.
Full textCarvalho, Luís. "Three essays on game theory and bargaining." Doctoral thesis, NSBE - UNL, 2014. http://hdl.handle.net/10362/11851.
Full textEquilibrium Outcomes of Repeated Two-Person Zero-Sum Games - We consider discounted repeated two-person zero-sum games. We show that even when players have different discount factors (in which case the repeated game is not a zero-sum game), an outcome is subgame perfect if and only if all of its components are Nash equilibria of the stage game. This implies that in all subgame perfect equilibria, each player's payoff is equal to his minmax payoff. In conclusion, the competitive nature of two-player zero-sum games is not altered when the game is repeated.
A Constructive Proof of the Nash Bargaining Solution - We consider the classical axiomatic Nash bargaining framework and propose a constructive proof of its solution. On the first part of this paper we prove Nash’s solution is the result of a maximization problem; on the second part, through the properties of maximand’s indifference curves we derive that it must be equal to xy.
Equilibria and Outcomes in Multiplayer Bargaining - Multiplayer bargaining is a game in which all possible divisions are equilibrium outcomes. This paper presents the classical subgame perfect equilibria strategies and analyses their weak robustness, namely the use of weakly dominated strategies. The paper then develops a refined equilibrium concept, based on trembling hand perfection, in order to overcome such weakness. Concluding that none of the classical equilibrium strategies survives the imposition of the extra robustness and, albeit using more complex strategies, the equilibrium outcomes don't change.
Unsal, Omur. "Two-person zero-sum network-interdiction game with multiple inspector types." Thesis, Monterey, California : Naval Postgraduate School, 2010. http://edocs.nps.edu/npspubs/scholarly/theses/2010/Jun/10Jun%5FUnsal.pdf.
Full textThesis Advisor(s): Wood, R. Kevin ; Second Reader: Salmeron, Javier. "June 2010." Description based on title screen as viewed on July 14, 2010. Author(s) subject terms: Two-person zero-sum network-interdiction game, game theoretic network interdiction, column generation, pure inspection-assignment strategy, inspector-to-edge assignment and mixed strategies, marginal probability, Cournet's simultaneous play game. Includes bibliographical references (p. 47-48). Also available in print.
Yu, Chao-Ya, and 游詔雅. "Minimax Theorem and Two-Person Zero-Sum Dynamic Games." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/32196423502244367972.
Full text中原大學
應用數學研究所
100
The dissertation is aim to consider the minimax problem on a two-person zero-sum dynamic game. Let X and Y be the stochastic strategy spaces of players I and II, respectively, in a two-person zero-sum dynamic game. The establishment of the total value functions of losses and gains with transition probabilities in the game system will perform the property for minimax problem. Further the minimax theorem is proved for the strategy spaces of the two-person zero-sum game if it follows a law of motion. It is also established that the saddle value function exists under certain conditions so that the equilibrium point exists in the game system. In addition to nonfractional type game, it is proved that the fractional function of the total conditional expectations of players I and II which satisfies Ky Fan type minimax theorem under some reasonable conditions.
"Saddle Squares in Random Two Person Zero Sum Games with Finitely Many Strategies." Doctoral diss., 2011. http://hdl.handle.net/2286/R.I.9256.
Full textDissertation/Thesis
Ph.D. Mathematics 2011
"Intelligent strategy for two-person non-random perfect information zero-sum game." 2003. http://library.cuhk.edu.hk/record=b5891609.
Full textThesis submitted in: December 2002.
Thesis (M.Phil.)--Chinese University of Hong Kong, 2003.
Includes bibliographical references (leaves 77-[80]).
Abstracts in English and Chinese.
Chapter 1 --- Introduction --- p.1
Chapter 1.1 --- An Overview --- p.1
Chapter 1.2 --- Tree Search --- p.2
Chapter 1.2.1 --- Minimax Algorithm --- p.2
Chapter 1.2.2 --- The Alpha-Beta Algorithm --- p.4
Chapter 1.2.3 --- Alpha-Beta Enhancements --- p.5
Chapter 1.2.4 --- Selective Search --- p.9
Chapter 1.3 --- Construction of Evaluation Function --- p.16
Chapter 1.4 --- Contribution of the Thesis --- p.17
Chapter 1.5 --- Structure of the Thesis --- p.19
Chapter 2 --- The Probabilistic Forward Pruning Framework --- p.20
Chapter 2.1 --- Introduction --- p.20
Chapter 2.2 --- The Generalized Probabilistic Forward Cuts Heuristic --- p.21
Chapter 2.3 --- The GPC Framework --- p.24
Chapter 2.3.1 --- The Alpha-Beta Algorithm --- p.24
Chapter 2.3.2 --- The NegaScout Algorithm --- p.25
Chapter 2.3.3 --- The Memory-enhanced Test Algorithm --- p.27
Chapter 2.4 --- Summary --- p.27
Chapter 3 --- The Fast Probabilistic Forward Pruning Framework --- p.30
Chapter 3.1 --- Introduction --- p.30
Chapter 3.2 --- The Fast GPC Heuristic --- p.30
Chapter 3.2.1 --- The Alpha-Beta algorithm --- p.32
Chapter 3.2.2 --- The NegaScout algorithm --- p.32
Chapter 3.2.3 --- The Memory-enhanced Test algorithm --- p.35
Chapter 3.3 --- Performance Evaluation --- p.35
Chapter 3.3.1 --- Determination of the Parameters --- p.35
Chapter 3.3.2 --- Result of Experiments --- p.38
Chapter 3.4 --- Summary --- p.42
Chapter 4 --- The Node-Cutting Heuristic --- p.43
Chapter 4.1 --- Introduction --- p.43
Chapter 4.2 --- Move Ordering --- p.43
Chapter 4.2.1 --- Quality of Move Ordering --- p.44
Chapter 4.3 --- Node-Cutting Heuristic --- p.46
Chapter 4.4 --- Performance Evaluation --- p.48
Chapter 4.4.1 --- Determination of the Parameters --- p.48
Chapter 4.4.2 --- Result of Experiments --- p.50
Chapter 4.5 --- Summary --- p.55
Chapter 5 --- The Integrated Strategy --- p.56
Chapter 5.1 --- Introduction --- p.56
Chapter 5.2 --- "Combination of GPC, FGPC and Node-Cutting Heuristic" --- p.56
Chapter 5.3 --- Performance Evaluation --- p.58
Chapter 5.4 --- Summary --- p.63
Chapter 6 --- Conclusions and Future Works --- p.64
Chapter 6.1 --- Conclusions --- p.64
Chapter 6.2 --- Future Works --- p.65
Chapter A --- Examples --- p.67
Chapter B --- The Rules of Chinese Checkers --- p.73
Chapter C --- Application to Chinese Checkers --- p.75
Bibliography --- p.77
pao-yuan, Liao, and 廖抱元. "Analyzing the Wireless LAN Market: An Approach of Two-Person Zero-sum Game with Multiple Fuzzy Goals." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/79648758489571734655.
Full text國立交通大學
管理學院碩士在職專班科技管理組
94
This study is to construct a two-person fuzzy matrix game with multiple fuzzy goals and able to perform fuzzy element values of pay-off matrix in a traditional two-person zero-sum game model, so that the game model can reflect more facts and decision elasticity. According to the fuzzy game model and fuzzy linear programming method proposed by Sakawa and Ramik individually, the study is focused on two-person non-cooperative game, and combined with mathematic programming software to solve the fuzzy linear problems, and get the maxima expected pay-offs and mixed strategy ratios for each player. Finally, the fuzzy game model is applied in a case study of domestic and foreign wireless LAN market share analysis in Taiwan. The performance of the chip is represented by WLAN throughput, and the technology growth tendency is expressed by the exponential curve. Using the above two assumptions, the pay-off matrix parameters are obtained from the regression calculation result, which is to decide the optimize solution for marketing strategy to adjust the chip price or improve chip specs. According to the calculation results, using both Sakawa’s fuzzy game model and Ramik’s fuzzy programming method, under most circumstances, the conclusions are suggesting decision makers (IC vender) to adopt the strategy of improving product’s performance to achieve company’s goals.
Books on the topic "Two-person zero-sum games"
Washburn, Alan. Two-Person Zero-Sum Games. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-9050-0.
Full textHeuer, Gerald A. Silverman's game: A special class of two-person zero-sum games. Berlin: Springer-Verlag, 1995.
Find full textImbert, Patrick. Les Amériques transculturelles: Les stéréotypes du jeu à somme nulle. Québec: Presses de l'Université Laval, 2013.
Find full textTwo-Person Zero-Sum Games (Topics in Operations Research Series). 3rd ed. Military Applications Soc Research and Manage, 2003.
Find full textBook chapters on the topic "Two-person zero-sum games"
Morris, Peter. "Two-Person Zero-Sum Games." In Introduction to Game Theory, 35–63. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-4316-8_2.
Full textRaghavan, T. E. S. "Zero-Sum Two Person Games." In Computational Complexity, 3372–95. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1800-9_209.
Full textRaghavan, T. E. S. "Zero-Sum Two Person Games." In Encyclopedia of Complexity and Systems Science, 10073–96. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-30440-3_592.
Full textVorob’ev, Nicolai N. "Two-person zero-sum games." In Foundations of Game Theory, 209–357. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8514-0_5.
Full textRaghavan, T. E. S. "Zero-Sum Two Person Games." In Complex Social and Behavioral Systems, 199–227. New York, NY: Springer US, 2020. http://dx.doi.org/10.1007/978-1-0716-0368-0_592.
Full textTijs, Stef. "Two-person zero-sum games." In Introduction to Game Theory, 19–30. Gurgaon: Hindustan Book Agency, 2003. http://dx.doi.org/10.1007/978-93-86279-17-0_3.
Full textRaghavan, T. E. S. "Zero-Sum Two Person Games." In Encyclopedia of Complexity and Systems Science, 1–30. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-642-27737-5_592-2.
Full textBuckley, James J., and Leonard J. Jowers. "Fuzzy Two-Person Zero-Sum Games." In Monte Carlo Methods in Fuzzy Optimization, 165–73. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-76290-4_15.
Full textPeters, Hans. "Finite Two-Person Zero-Sum Games." In Springer Texts in Business and Economics, 25–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46950-7_2.
Full textNishizaki, Ichiro, and Masatoshi Sakawa. "Multiobjective fuzzy two-person zero-sum games." In Fuzzy and Multiobjective Games for Conflict Resolution, 33–73. Heidelberg: Physica-Verlag HD, 2001. http://dx.doi.org/10.1007/978-3-7908-1830-7_3.
Full textConference papers on the topic "Two-person zero-sum games"
Ding, Jian, Cun-lin Li, and Gao-sheng Zhu. "Two-person zero-sum matrix games on credibility space." In 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2011). IEEE, 2011. http://dx.doi.org/10.1109/fskd.2011.6019721.
Full textHui Wu and Zhigeng Fang. "The graphical solution of zero-sum two-person grey games." In 2007 IEEE International Conference on Grey Systems and Intelligent Services. IEEE, 2007. http://dx.doi.org/10.1109/gsis.2007.4443545.
Full textHyeong Soo Chang, Michael C. Fu, and Steven I. Marcus. "Adversarial multi-armed bandit approach to two-person zero-sum Markov games." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434044.
Full textSobieski, Ścibór, Theodore E. Simos, George Maroulis, George Psihoyios, and Ch Tsitouras. "The Approximation of Value Function for two Person Differential Games with Zero Sum." In SELECTED PAPERS FROM ICNAAM-2007 AND ICCMSE-2007: Special Presentations at the International Conference on Numerical Analysis and Applied Mathematics 2007 (ICNAAM-2007), held in Corfu, Greece, 16–20 September 2007 and of the International Conference on Computational Methods in Sciences and Engineering 2007 (ICCMSE-2007), held in Corfu, Greece, 25–30 September 2007. AIP, 2008. http://dx.doi.org/10.1063/1.2997295.
Full textZuofeng Gao, Chunyan Han, Hua Zhang, Suting Zhang, Hongxin Bai, and Yongbo Yu. "Duality in linear programming with fuzzy parameters and two-person zero-sum constrained matrix games with fuzzy payoffs." In 2008 Chinese Control and Decision Conference (CCDC). IEEE, 2008. http://dx.doi.org/10.1109/ccdc.2008.4597503.
Full textXiaoguang Zhou, Weimin Li, Zhang Lin, and Songwei Li. "Two-person zero-sum matrix game based on intuitionistic fuzzy set." In 2010 8th World Congress on Intelligent Control and Automation (WCICA 2010). IEEE, 2010. http://dx.doi.org/10.1109/wcica.2010.5554520.
Full textXu, Lin, and Jidong Li. "Equilibrium Strategy for Two-Person Zero-Sum Matrix Game with Random Fuzzy Payoffs." In 2010 Asia-Pacific Conference on Wearable Computing Systems. IEEE, 2010. http://dx.doi.org/10.1109/apwcs.2010.49.
Full textXu, Lin, and Xiaobin Wang. "Fuzzy Linear Programming Model to Solve Two-Person Zero-Sum Matrix Game with Fuzzy Payoffs." In 2009 International Joint Conference on Computational Sciences and Optimization, CSO. IEEE, 2009. http://dx.doi.org/10.1109/cso.2009.490.
Full textReports on the topic "Two-person zero-sum games"
Cantwell, Gregory L. Can Two Person Zero Sum Game Theory Improve Military Decision-Making Course of Action Selection? Fort Belvoir, VA: Defense Technical Information Center, May 2003. http://dx.doi.org/10.21236/ada415850.
Full text