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Weighted congestion games with separable preferences

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  • Milchtaich, Igal
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    Abstract

    Players in a congestion game may differ from one another in their intrinsic preferences (e.g., the benefit they get from using a specific resource), their contribution to congestion, or both. In many cases of interest, intrinsic preferences and the negative effect of congestion are (additively or multiplicatively) separable. This paper considers the implications of separability for the existence of pure-strategy Nash equilibrium and the prospects of spontaneous convergence to equilibrium. It is shown that these properties may or may not be guaranteed, depending on the exact nature of player heterogeneity.

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    File URL: http://www.sciencedirect.com/science/article/B6WFW-4W0SK2D-1/2/63c8ccc38f57d26ba8db4ed12c1596d3
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    Bibliographic Info

    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 67 (2009)
    Issue (Month): 2 (November)
    Pages: 750-757

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    Handle: RePEc:eee:gamebe:v:67:y:2009:i:2:p:750-757

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    Web page: http://www.elsevier.com/locate/inca/622836

    Related research

    Keywords: Congestion games Separable preferences Pure equilibrium Finite improvement property Potential;

    References

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    2. Giovanni Facchini & Freek van Megen & Peter Borm & Stef Tijs, 1997. "Congestion Models And Weighted Bayesian Potential Games," Theory and Decision, Springer, vol. 42(2), pages 193-206, March.
    3. Hollard, Guillaume, 2000. "On the existence of a pure strategy Nash equilibrium in group formation games," Economics Letters, Elsevier, vol. 66(3), pages 283-287, March.
    4. Correa, José R. & Schulz, Andreas S. & Stier-Moses, Nicolás E., 2008. "A geometric approach to the price of anarchy in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 64(2), pages 457-469, November.
    5. Milchtaich, Igal, 2006. "Network topology and the efficiency of equilibrium," Games and Economic Behavior, Elsevier, vol. 57(2), pages 321-346, November.
    6. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
    7. Milchtaich, Igal, 1996. "Congestion Games with Player-Specific Payoff Functions," Games and Economic Behavior, Elsevier, vol. 13(1), pages 111-124, March.
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    Cited by:
    1. Patrick Maillé & Peter Reichl & Bruno Tuffin, 2011. "Interplay between security providers, consumers, and attackers: a weighted congestion game approach," Post-Print inria-00560807, HAL.
    2. Igal Milchtaich, 2013. "Representation of finite games as network congestion games," International Journal of Game Theory, Springer, vol. 42(4), pages 1085-1096, November.

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