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具有联盟结构博弈的联盟核心的公理化

Keywords: 一致性,弱反一致性,缩减博弈

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Abstract:

研究了具有联盟结构博弈的联盟核心的公理化方式及Owen值与联盟核心之间的关系.利用一种缩减博弈,给出了解的一致性、弱反一致性等概念,用个体理性、单人理性、一致性和弱反一致性对联盟核心进行了公理化,给出了解为联盟核心的充分必要条件.结果表明,在该缩减博弈下,联盟核心是唯一确定的,对于具有联盟结构的强凸博弈,Owen值属于联盟核心.

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