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The Core for Games with Cooperation Structure

Author

Listed:
  • Inés Gallego

    (Universidad de Sevilla = University of Seville)

  • Michel Grabisch

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Andres Jiménez-Losada

    (Universidad de Sevilla = University of Seville)

  • Alexandre Skoda

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

A cooperative game consists of a set of players and a characteristic function that determines the maximal profit or minimal cost that each subset of players can get when they decide to cooperate, regardless of the actions of the rest of the players. The relationships among the players can modify their bargaining and therefore their payoffs. The model of cooperation structures in a game introduces a graph on the set of players setting their relations and in which its components indicate the groups of players that are initially formed. In this paper we define the core and the Weber set and the notion of convexity for this family of games.

Suggested Citation

  • Inés Gallego & Michel Grabisch & Andres Jiménez-Losada & Alexandre Skoda, 2016. "The Core for Games with Cooperation Structure," Post-Print halshs-01395957, HAL.
  • Handle: RePEc:hal:journl:halshs-01395957
    DOI: 10.1007/978-3-662-52886-0_12
    as

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