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

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  • Florian Navarro

    (LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique)

Abstract

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.

Suggested Citation

  • Florian Navarro, 2020. "The center value: A sharing rule for cooperative games on acyclic graphs," Post-Print hal-03411527, HAL.
    • Handle: RePEc:hal:journl:hal-03411527
    DOI: 10.1016/j.mathsocsci.2020.02.001
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    Cited by:

    1. E. C. Gavilán & C. Manuel & R. Brink, 2023. "Directed communication in games with directed graphs," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 584-617, October.
    2. Tobias Hiller, 2021. "Hierarchy and the size of a firm," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 68(3), pages 389-404, September.
    3. Florian Navarro, 2022. "Associated consistency and the Aumann-Drèze value," Post-Print hal-03678064, HAL.
    4. Florian Navarro, 2022. "Associated consistency and the Aumann-Drèze value," Working Papers hal-03678064, HAL.

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