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Conditional interchangeability of Nash equilibria

机译:纳什均衡的条件互换性

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摘要

The notion of interchangeability was introduced by Nash in one of his original papers on equilibria in strategic games. It has been recently shown that propositional theory of this relation is the same as propositional theories of the non-deducibility relation in the information flow theory, the independence relation in probability theory, and the non-interference relation in concurrency theory. Propositional theories of conditional non-deducibility and conditional independence have been studied before. This article introduces a notion of conditional interchangeability and gives complete axiomatization of this relation with conditioning by a single player.
机译:纳什(Nash)在他关于战略游戏中的均衡的原始论文之一中引入了互换性的概念。最近已经表明,这种关系的命题理论与信息流理论中的不可推论关系,概率论中的独立关系以及并发理论中的非干扰关系的命题理论相同。之前已经研究了条件不可演性和条件独立性的命题理论。本文介绍了条件互换性的概念,并给出了由单个参与者进行的带条件的这种关系的完全公理化。

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