An indistinguishability result on rationalizability under general preferences

YC Chen, X Luo - Economic Theory, 2012 - Springer
Economic Theory, 2012Springer
In this paper, we show that, in the class of games where each player's strategy space is
compact Hausdorff and each player's payoff function is continuous and “concave-like,”
rationalizability in a variety of general preference models yields the unique set of outcomes
of iterated strict dominance. The result implies that rationalizable strategic behavior in these
preference models is observationally indistinguishable from that in the subjective expected
utility model, in this class of games. Our indistinguishability result can be applied not only to …
Abstract
In this paper, we show that, in the class of games where each player’s strategy space is compact Hausdorff and each player’s payoff function is continuous and “concave-like,” rationalizability in a variety of general preference models yields the unique set of outcomes of iterated strict dominance. The result implies that rationalizable strategic behavior in these preference models is observationally indistinguishable from that in the subjective expected utility model, in this class of games. Our indistinguishability result can be applied not only to mixed extensions of finite games, but also to other important applications in economics, for example, the Cournot–oligopoly model.
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