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计算机科学 2010
Logic Study of Epistemic and Rational Conditions of Some Game-theoretic Solutions
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Abstract:
In the process of seeking for game-theoretic solutions,players are supposed to be rational which means that they all tend to maximize their expected payoffs.However,there is no a definitely definition of rationality in the game theory and the usual assumption of mutual knowledge of individual rationality to be common knowledge is coarse and maybe too strong,especially when the game is finite,in fact,the nested degree of interactive knowledge of individual rationality has a maximal value that we will show.In...