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The center value: A sharing rule for cooperative games on acyclic graphs
Archive ouverte : Article de revue
International audience. A cooperative game with transferable utility is a situation in which players can generate worth by cooperating and obtain a certain payoff via a sharing rule. In this paper we assume that the cooperation between players is restricted by an acyclic graph. We introduce a new sharing rule for this type of game. We also offer an axiomatization of this sharing rule, based mainly on linearity and a consistency axiom. For unanimity games, this sharing rule identifies the center of the graph.
- Sujets
- game theory
- cooperative games
- graphs
- associated consistency
- centrality measures
- JEL: C - Mathematical and Quantitative Methods/C.C7 - Game Theory and Bargaining Theory/C.C7.C71 - Cooperative Games
- [INFO.INFO-GT]Computer Science [cs]/Computer Science and Game Theory [cs.GT]
- [SHS.ECO]Humanities and Social Sciences/Economics and Finance