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BELIEF REVISION IN GAMES OF PERFECT INFORMATION

机译:完美信息游戏中的信仰修订

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摘要

A syntactic formalism for the modeling of belief revision in perfect information games is presented that allows to define the rationality of a player's choice of moves relative to the beliefs he holds as his respective decision nodes have been reached. In this setting, true common belief in the structure of the game and rationality held before the start of the game does not imply that backward induction will be played. To derive backward induction, a "forward belief" condition is formulated in terms of revised rather than initial beliefs. Alternative notions of rationality as well as the use of knowledge instead of belief are also studied within this framework.
机译:提出了一种用于完美信息游戏中信念修正模型的句法形式主义,该句法形式主义允许定义玩家相对于他所拥有的信念(当达到其各自的决策节点时)所选择的举动的合理性。在这种情况下,对游戏结构和游戏开始之前的合理性的真正共同信念并不意味着将进行反向归纳。为了获得向后归纳,“正向信念”条件是根据修订后的信念而非最初的信念制定的。在这个框架内,还研究了合理性的替代概念,以及使用知识代替信仰。

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