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Strategic transfers between cooperative games

Author

Listed:
  • Berden, Caroline
  • Peters, Hans
  • Robles, Laura
  • Vermeulen, Dries

Abstract

We consider a model where the same group of players is involved in more than one cooperative (transferable utility) game. A rule determines the payoffs per game, and for each player a utility function evaluates the resulting vector of payoffs. We assume that each player, independently, can make transfers of worth between different games, thereby affecting its payoff vector and, thus, utility. Two transfer systems are considered, resulting in two distinct noncooperative games, and the focus of the paper is on establishing existence and a characterization of Nash equilibria in these games.

Suggested Citation

  • Berden, Caroline & Peters, Hans & Robles, Laura & Vermeulen, Dries, 2022. "Strategic transfers between cooperative games," Games and Economic Behavior, Elsevier, vol. 133(C), pages 77-84.
    • Handle: RePEc:eee:gamebe:v:133:y:2022:i:c:p:77-84
    DOI: 10.1016/j.geb.2022.02.003
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    References listed on IDEAS

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    1. Laurence Kranich & Andrés Perea & Hans Peters, 2005. "Core Concepts For Dynamic Tu Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 43-61.
    2. Rosenthal, Edward C., 1990. "Monotonicity of solutions in certain dynamic cooperative games," Economics Letters, Elsevier, vol. 34(3), pages 221-226, November.
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    4. Jerzy A. Filar & Leon A. Petrosjan, 2000. "Dynamic Cooperative Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 47-65.
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    8. Tijs, S., 1981. "Bounds for the core of a game and the t-value," Other publications TiSEM ebc650eb-f25e-4802-ba0b-2, Tilburg University, School of Economics and Management.
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    10. Berden, C., 2007. "The role of individual intertemporal transfers in dynamic TU-Games," Research Memorandum 030, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    11. Csóka, Péter & Jean-Jacques Herings, P. & Kóczy, László Á. & Pintér, Miklós, 2011. "Convex and exact games with non-transferable utility," European Journal of Operational Research, Elsevier, vol. 209(1), pages 57-62, February.
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    Cited by:

    1. Besner, Manfred, 2022. "The grand surplus value and repeated cooperative cross-games with coalitional collaboration," Journal of Mathematical Economics, Elsevier, vol. 102(C).

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    More about this item

    Keywords

    Cooperative games; Transfers; Nash equilibrium;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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