On Prize Games

Sergiu Hart

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We consider the class of hyperplane coalitional games (H-games): the feasible set of each coalition is a half-space, with a slope that may vary from one coalition to another. H-games have turned out in various approaches to the value of general non-transferable utility (NTU) games. In this paper we introduce a simple model -- prize games -- that generates the hyperplane games. Next, we provide an axiomatization for the Maschler & Owen (1989) consistent value of H-games.