Abstract

Cooperative games with coalition structures are considered, and a principle of coalition structure individual stability with respect to some cooperative solution concepts is defined. In comparison with the paper [15], we consider the opportunity for the players to block the deviation of a player in case their payoffs decrease with the deviation. We prove the existence of an individually stable coalition structure with respect to the Shapley and equal surplus division values for the case of three-person games according to the new definition of the stable coalition structure.

中文翻译：

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三人游戏中联盟结构的个体稳定性

摘要

考虑了具有联盟结构的合作博弈，并针对某些合作解决方案定义了联盟结构个体稳定性的原则。与论文 [15] 相比，我们考虑了玩家阻止玩家偏差的机会，以防他们的收益随着偏差而减少。根据稳定联盟结构的新定义，我们证明了在三人博弈的情况下，关于 Shapley 和相等剩余划分值的个体稳定联盟结构的存在。