Modelling equilibrium play as governed by analogy and limited foresight

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• 作者：Philipp C. Wichardt
• 关键词：Bounded rationality ; Chain Store Paradox ; Finite automata ; Imperfect recall ; Limited foresight ; Reasoning by analogy
• 刊名：Games and Economic Behavior
• 出版年：2010
• 出版时间：November 2010
• 年：2010
• 卷：70
• 期：2
• 页码：472-487
• 全文大小：287 K

文摘

This paper proposes a bounded rationality approach to model equilibrium play in games. It is based on the observation that decision makers often do not seem to fully distinguish between different but seemingly similar decisions and tend to treat such similar decisions in a standardised/habitual way. To capture this, each player's information partition is derived from a similarity grouping of decisions based on the local structure of the game – equality of available actions and analogy of locally foreseen subtrees – and possibly refined by additional information about crucial aspects of past play. The equilibrium concept considered is a (trembling-hand) perfect Nash equilibrium (Selten, 1975), in which players are required to choose the same (routine) behaviour for similar decisions. Based on the approach, it is shown how the Chain Store Paradox (Selten, 1978) can be resolved, and how mixed equilibria in the Centipede Game (Rosenthal, 1981) can be rationalised.