名次博弈
Rank Game

作者: 林志 :重庆交通大学理学院;

关键词: 名次博弈名次均衡名次数Nash均衡Rank Game Rank Equilibrium Rank Nash Equilibrium

摘要:
通过一场有奖竞赛活动,本文介绍了名次博弈的基本概念及数学模型,给出了2人–名次博弈的两个基本结论;文中通过一些例子,指出了名次均衡与Nash均衡的差异。

Abstract:
In this paper, we introduce the concept of the rank game by an agon and propose its mathematical model, and prove two theorems for two-person rank game. Moreover, by some examples, we also show the difference of Nash equilibrium point and rank equilibrium point.

文章引用: 林志 (2012) 名次博弈。 运筹与模糊学, 2, 42-52. doi: 10.12677/ORF.2012.23006

参考文献

[1] J. Nash. Equilibrium points in N-person games. Proceedings of the National Academic of Sciences, U.S.A., 1950, 36(1): 48–49.

[2] J. Nash.Noncooperative Games. Annals of Mathematics, 1951, 54(2): 286–295.

[3] R .Cambel, L.Sowden Eds.Paradoxes of Rationality and Cooperation. Prisoner’s Dilemma and Newcomb’s Problem. Vancouver: The University of British Columbia Press, 1995:3.

[4] R.D.Luce,H.Raiffa. Games and Decisions: An Introduction and Critical Survey.New York: Wiley Sons. 1957.

[5] 汪贤裕,肖玉明编著 .博弈论及其应用[M].北京:科学出版社, 2008:55

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