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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 4 | Year 2018 | Article Id. IJMTT-V57P539 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P539

A Game Theory Approach on Winning Probability of N Person Game


Satyaprakash Sahu, A J Khan
Abstract

An n-player game is a game which is well defined for any number of players. This is usually used in contrast to standard 2 player game that are only specified for two players. In defining n-player games. When there are more than two players, fundamental differences arise. For example, 2-person zero-sum games which says that all equilibrium solutions have the same payoff cannot be generalized to three players. Once there are more than two players, a zero-sum game can have equilibrium solutions that do not have the same payoffs. n-person games in which the players are not allowed to communicate and make binding agreements are not fundamentally different from two-person noncooperative games. This study explores the topic of N-person cooperative game theory. The following paper begins with an introduction to the basic definitions and example of game theory. These results are then applied to the prisoners and puzzle.

Keywords
Game theory, Player, Payoff, Strategy, n-person cooperative game, n person noncooperative game, Nash equilibrium.
References

[1] Nachbar, J. 1990. ‘Evolutionary’ Selection Dynamics In Games: Convergence And Limit Properties.International Journal Of Game Theory 19: 58 - 89.
[2]. Roth, A. E. 1993. The Early History Of Experimental Economics. Journal Of The History Of Economic Thought 15: 184 - 209.
[3]. Weibull, J. 1994. The ‘As If´ Approach To Game-Theory: Three Positive Results And Four Obstacles. European Economic Review 38: 868 - 882.
[4]. Weibull, J. 1994. Evolutionary Game Theory. Cambridge: The Mit Press, Forthcoming.
[5].Theodore L. Turocy Texas A&M University Bernhard Von Stengel London School Of Economics Cdam Research Report Lse-Cdam-2001-09 October 8, 2001
[6].Erich Prisner Franklin University Switzerland
[7].Christos H. Papadimitriou ].Shivani Nayyar, Essays On Repeated Games,Thomas Palfrey,University Of California, Berkeley
[8].Shivani Nayyar,Essays On Repeated Games, Thomas Palfrey, June 2009
[9].Climate Change And Game Theory Peter John Woodmay 2010
[10].Patrick Bajari,University Of Minnesota And Nber, December 3, 2010
[11].Rachel F. Baskerville, Wellington, Newzealand 2007
[12]. Patrick Bajari University Of Minnesota And Nber, Han Hong,Stanford University December 3, 2010
[13]. Joseph Y. Halpern∗ Cornell University,May 18, 2007
[14]. Peter John Wood, The Australian National University, May 2010
[15]. Colin F. Camerer,1 Teck-Hua Ho And Juin Kuan Chong
[16]. Juin Kuan Chong National University Of Singapore, November 14, 2001
[17] Martin J. Osborne Ariel Rubinstein,The Mit Press Cambridge, Massachusetts London, England 1998.
[18] Optimal Strategies In N-Person Unilaterally Competitive Games∗ O. De Wolf†, September, 1999.
[19] Decisionmakingusing Gametheory, Anthonykelly. 2003.
[20] A Short Introduction To Game Theory, Heiko Hotz.
[21] Several Milestones In The History Of Game Theory,Magdalena HykˇSov´A, Prague.
[22] An Approach To N-Person Cooperative Games, Dr. Josep Vives Dept. Of Probability, Logic And Statistics,Barcelona, January 18, 2016.
[23] N-Person Cooperative Game Theory Solutions, Coalitions, And Applications Ragan Nicole Brackin University Of Tennessee – Knoxville.
[24] N-Person Game Theory: Concepts And Applications, By Anatol Rapoport Robert L. Birmingham Indiana University School Of Law,1970.
[25] Cooperative N-Person Stackelberg Games∗,Wayne F. Bialas† State University Of New York At Buffalo.
[26] A Theory Of N-Person Games With Perfect Information*By David Gale Brown Univbrsity, Communicated By J. Von Neumann, April 17, 1953.

Citation :

Satyaprakash Sahu, A J Khan, "A Game Theory Approach on Winning Probability of N Person Game," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 4, pp. 284-291, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P539

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