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THE STRATEGIC CORES α,β,γ AND δ

机译：战略核心α，β，γ和δ

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摘要

In a strategic coalitional game, we consider the relations among four cores α,β,γ, and the one we call 8 which is obtained by slightly weakening the conjectural cooperative equilibria due to Currarini and Marini. We show that the α-core and the γ-core are refined by the δ-core; and, moreover that if every player has a dominant strategy, the β-core is refined by the γ-core, so that the four cores refine themselves in the greek alphabetical order. Two economic games will be considered to show that the refinement of the a-core can vary from the weakest to the strongest. While the four cores are equal in the pure exchange game, a radical reduction of the a-core is obtained in the commons game, a simple version of the Cournot game, bringing about a single strategy profile as the δ-core.
机译：在战略联盟博弈中，我们考虑了四个核心α，β，γ和我们称为8的核心之间的关系，这是通过略微削弱由于Currarini和Marini造成的猜想合作均衡而获得的。我们表明，α-核和γ-核被δ-核精炼；而且，如果每个玩家都有主导策略，则β核心将由γ核心进行提炼，从而使四个核心按希腊字母顺序进行提炼。将考虑进行两次经济博弈，以显示a核的细化程度可以从最弱到最强。尽管在纯交换游戏中四个核心是平等的，但在普通游戏（古诺游戏的简单版本）中，a核心的使用却得到了根本性的减少，从而形成了一个以δ核心为单一策略的配置文件。

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