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Equilibrium and potential in coalitional congestion games

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  • Sergey Kuniavsky

  • Rann Smorodinsky

Abstract

The model of congestion games is widely used to analyze games related to traffic and communication. A central property of these games is that they are potential games and hence posses a pure Nash equilibrium. In reality, it is often the case that some players cooperatively decide on their joint action in order to maximize the coalition’s total utility. This is modeled by Coalitional Congestion Games. Typical settings include truck drivers who work for the same shipping company, or routers that belong to the same ISP. The formation of coalitions will typically imply that the resulting coalitional congestion game will no longer posses a pure Nash equilibrium. In this paper, we provide conditions under which such games are potential games and posses a pure Nash equilibrium. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Sergey Kuniavsky & Rann Smorodinsky, 2014. "Equilibrium and potential in coalitional congestion games," Theory and Decision, Springer, vol. 76(1), pages 69-79, January.
    • Handle: RePEc:kap:theord:v:76:y:2014:i:1:p:69-79
    DOI: 10.1007/s11238-013-9357-4
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    References listed on IDEAS

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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.
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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