Cores of convex and strictly convex games

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چکیده

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Cores of convex and strictly convex games

We follow the path initiated in Shapley (1971) and study the geometry of the core of convex and strictly convex games. We define what we call face games and use them to study the combinatorial complexity of the core of a strictly convex game. Remarkably, we present a picture that summarizes our results with the aid of Pascal’s triangle. JEL classification: C71.

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ژورنال

عنوان ژورنال: Games and Economic Behavior

سال: 2008

ISSN: 0899-8256

DOI: 10.1016/j.geb.2007.03.003