Mathematics of Operations Research · 1977 · 1.5K citations · 1 references
Social SciencesEconomicsCooperative EconomicsGame TheoryMicroeconomicsAlgorithmic Game TheoryCooperative Game TheoryCoordination GamesNash EquilibriumNetwork GamesNoncooperative Game TheoryCharacteristic Function FormCharacteristic Function GamesFair Resource AllocationGraph GamesGraphical GamesNon-cooperative Games
Graph-theoretic ideas are used to analyze cooperation structures in games. Allocation rules, selecting a payoff for every possible cooperation structure, are studied for games in characteristic function form. Fair allocation rules are defined, and these are proven to be unique, closely related to the Shapley value, and stable for a wide class of games.
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