The center value: A sharing rule for cooperative games on acyclic graphs - Archive ouverte HAL
Article Dans Une Revue Mathematical Social Sciences Année : 2020

The center value: A sharing rule for cooperative games on acyclic graphs

Florian Navarro

Résumé

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.
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Dates et versions

hal-03411527 , version 1 (02-11-2021)

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Florian Navarro. The center value: A sharing rule for cooperative games on acyclic graphs. Mathematical Social Sciences, 2020, 105, pp.1-13. ⟨10.1016/j.mathsocsci.2020.02.001⟩. ⟨hal-03411527⟩
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