Cores of convex and strictly convex games

We follow the path initiated by Shapley in 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 res...

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Veröffentlicht in:	Games and economic behavior 2008, Vol.62 (1), p.100-105
Hauptverfasser:	González-Díaz, Julio, Sánchez-Rodríguez, Estela
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial complexity Convex games Cooperation Cooperative TU games Game theory Geometry Pascal's triangle Regression analysis Studies
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Zusammenfassung:	We follow the path initiated by Shapley in 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.
ISSN:	0899-8256 1090-2473
DOI:	10.1016/j.geb.2007.03.003