Another way of viewing it: if any player is better off changing then it is not a Nash Equilibrium.换个角度来看，如果任何玩家改变策略会得到更好的结果，那么这就不是纳什均衡.3 中文解释 博弈论主要研究公式化了的激励结构间的相互作用，是研究具有斗争或竞争性质现象的数学理论和方法。博弈论考虑游戏中的...
ThereisnoNashequilibrium.Playerswouldtakestrategiesstochastically.Definition1.SupposeaplayerhasMpurestrategies,s1,s2,...,sM.Amixedstrategyforthisplayerisaprobabilitydistributionoverhispurestrategies;thatis,itisaprobabilityvector(p1,p2,...,pM),withpk≥0,k=1,...,M,and.M ∑p k=1 k =1 Itisnot...
If the preferences of the players in a strategic game satisfy certain continuity conditions, then the acyclicity of individual improvements implies the existence of a (pure strategy) Nash equilibrium. Moreover, starting from any strategy profile, an arbitrary neighborhood of the set of Nash equilibri...
Cartwright E, Wooders M (2004) On purification of equilibrium in Bayesian games and ex-post Nash equilibrium, University of Warwick, Department of Economics, Working Paper no. 701. International Journal of Game Theory (to appear) Harsanyi JC (1973) Games with randomly disturbed payoffs: a new...
This paper involved the antibody concentration inhibition mechanism and immune memory function of immune algorithm into the original swarm algorithm,and proposed an immune particle swarm algorithm for solving Nash equilibrium of N-persons' non-cooperative game.The proposed algorithm had not only the prope...
We investigate Nash Equilibrium in the quantum Battle of Sexes Game. We find the game has infinite Nash Equilibria and all of them leads to the asymmetry result. We also show that there is no unique but infinite Nash Equilibrium in it if we use the quantizing scheme proposed by Eisert et ...
Feature papers represent the most advanced research with significant potential for high impact in the field. A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research ...
Theprisoner’s dilemmais a common situationanalyzed in game theorythat can employ the Nash equilibrium. In this game, two criminals are arrested and each is held in solitary confinement with no means of communicating with the other. The prosecutors do not have the evidence to convict the pair,...
Nash Equilibrium is a game theory concept that determines the optimal solution in a non-cooperative game in which each player lacks any
DECISION MAKING PROBLEM WITH TWO INCOMPARABLE CRITERIA -- GAME THEORY SOLUTION In this paper the solution concept of decision making problem with two incomparable criteria is presented. The incomparability consists in having no premises to aggregate the assessments of the decision variants or to aggrega...