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Equilibria interchangeability in cellular games

机译：手机游戏中的平衡互换性

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摘要

The notion of interchangeability has been introduced by John Nash in one of his original papers on equilibria. This article studies properties of Nash equilibria interchangeability in cellular games that model behaviour of infinite chain of homogeneous economic agents. The article shows that there are games in the which strategy of any given player is interchangeable with strategies of players in an arbitrary large neighbourhood of the given player, but is not interchangeable with the strategy of a remote player outside of the neighbourhood. The main technical result is a sound and complete logical system describing universal properties of interchangeability common to all cellular games.
机译：约翰·纳什（John Nash）在其有关平衡的原始论文之一中引入了互换性的概念。本文研究了模拟同质经济主体的无限链行为的手机游戏中纳什均衡互换性的性质。该文章显示了在某些游戏中，任何给定玩家的策略都可以与该给定玩家任意较大邻域中的玩家的策略互换，但不能与邻域外的远程玩家的策略互换。主要技术成果是一个健全而完整的逻辑系统，描述了所有蜂窝游戏所共有的互换性的通用属性。

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