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Delegation equilibrium payoffs in integer-splitting games

Author

Listed:
  • Sylvain Sorin

    (IMJ - Institut de Mathématiques de Jussieu - UPMC - Université Pierre et Marie Curie - Paris 6 - UPD7 - Université Paris Diderot - Paris 7 - CNRS - Centre National de la Recherche Scientifique)

  • Cheng Wan

    (IMJ - Institut de Mathématiques de Jussieu - UPMC - Université Pierre et Marie Curie - Paris 6 - UPD7 - Université Paris Diderot - Paris 7 - CNRS - Centre National de la Recherche Scientifique)

Abstract

This work studies a new strategic game called delegation game. A delegation game is associated to a basic game with a finite number of players where each player has a finite integer weight and her strategy consists in dividing it into several integer parts and assigning each part to one subset of finitely many facilities. In the associated delegation game, a player divides her weight into several integer parts, commits each part to an independent delegate and collects the sum of their payoffs in the basic game played by these delegates. Delegation equilibrium payoffs, consistent delegation equilibrium payoffs and consistent chains inducing these ones in a delegation game are defined. Several examples are provided.

Suggested Citation

  • Sylvain Sorin & Cheng Wan, 2013. "Delegation equilibrium payoffs in integer-splitting games," Post-Print hal-02885954, HAL.
    • Handle: RePEc:hal:journl:hal-02885954
    DOI: 10.1051/ro/2013026
    Note: View the original document on HAL open archive server: https://hal.science/hal-02885954
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    References listed on IDEAS

    as
    1. Cheng Wan, 2012. "Coalitions in Nonatomic Network Congestion Games," Mathematics of Operations Research, INFORMS, vol. 37(4), pages 654-669, November.
    2. Patrick T. Harker, 1988. "Multiple Equilibrium Behaviors on Networks," Transportation Science, INFORMS, vol. 22(1), pages 39-46, February.
    3. Roberto Cominetti & José R. Correa & Nicolás E. Stier-Moses, 2009. "The Impact of Oligopolistic Competition in Networks," Operations Research, INFORMS, vol. 57(6), pages 1421-1437, December.
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    Cited by:

    1. Cheng Wan, 2016. "Strategic decentralization in binary choice composite congestion games," Post-Print hal-02885837, HAL.
    2. Wan, Cheng, 2016. "Strategic decentralization in binary choice composite congestion games," European Journal of Operational Research, Elsevier, vol. 250(2), pages 531-542.

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