Subsolutions and the Supercore of Cooperative Games

Abstract

A generalization of the von Neumann-Morgenstern solution, called a subsolution, is introduced. Subsolulions exist for all games (in a nontrival way for games with a nonempty core), and can be interpreted as “standards of behavior.” A unique, distinguished subsolution called the supercore is also identified; it is the intersection of all subsolutions.

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