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Noncooperative farsighted stable set in an n-player prisoners' dilemma

机译:n人囚徒困境中的非合作远视马stable

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摘要

We examine an n-player prisoners' dilemma game in which only individual deviations are allowed, while coalitional deviations (even non-binding ones) are not, and every player is assumed to be sufficiently farsighted to understand not only the direct outcome of his own deviation but also the ultimate outcome resulting from a chain of subsequent deviations by other players. We show that there exists a unique, noncooperative farsighted stable set (NFSS) and that it supports at least one (partially and/or fully) cooperative outcome, which is individually rational and Pareto-efficient. We provide a sufficient condition for full cooperation. Further, we discuss the relationship between NFSS and other "stable set" concepts such as the (myopic) von Neumann-Morgenstern stable set, Harsanyi (1974)'s strictly stable set, Chwe (1994)'s largest consistent set, and the cooperative farsighted stable set examined by Suzuki and Muto (2005). [PUBLICATION ABSTRACT]
机译:我们研究了一个n玩家囚徒困境游戏,其中只允许个人偏离,而不允许联盟偏离(甚至是非约束性偏离),并且假定每个玩家都具有远见卓识,不仅可以理解自己的直接结果偏差,也是其他参与者随后一系列偏差产生的最终结果。我们表明,存在一个独特的,非合作的远见稳定集(NFSS),它支持至少一个(部分和/或完全)合作结果,这是个别合理且帕累托有效的。我们为充分合作提供了充分的条件。此外,我们讨论了NFSS与其他“稳定集”概念之间的关系,例如(近视)冯·诺伊曼-莫根斯滕稳定集,Harsanyi(1974)的严格稳定集,Chwe(1994)的最大一致集以及Suzuki和Muto(2005)研究了合作的远视稳定装置。 [出版物摘要]

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