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Congestion games and potentials reconsidered

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Author Info
Voorneveld, M.
Borm, P.
Megen, F. van (Tilburg University, Center for Economic Research)

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Abstract

In congestion games, players use facilities from a common pool. The benefit that a player derives from using a facility depends, possibly among other things, on the number of users of this facility. The paper gives an easy alternative proof of the isomorphism between exact potential games and the set of congestion games introduced by Rosenthal (1973). It clarifies the relations between existing models on congestion games, and studies a class of congestion games where the sets of Nash equilibria, strong Nash equilibria and potential-maximizing strategies coincide. Particular emphasis is on the computation of potential-maximizing strategies.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 98.

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Date of creation: 1999
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Handle: RePEc:dgr:kubcen:199998

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References listed on IDEAS
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  1. Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October. [Downloadable!] (restricted)
  2. Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation, Yale University. [Downloadable!]
  3. Facchini, G., 1995. "Congestion Models and Weighted Bayesian Potential Games," Research Memorandum 689, Tilburg University, Faculty of Economics and Business Administration. [Downloadable!]
  4. Peleg, Bezalel & Potters, Jos A M & Tijs, Stef H, 1996. "Minimality of Consistent Solutions for Strategic Games, in Particular for Potential Games," Economic Theory, Springer, vol. 7(1), pages 81-93, January.
  5. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January. [Downloadable!] (restricted)
  6. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August. [Downloadable!] (restricted)
  7. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. [Downloadable!] (restricted)
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  1. repec:att:wimass:19199923 is not listed on IDEAS
  2. Tercieux, Olivier & Voorneveld, Mark, 2005. "The cutting power of preparation," Discussion Paper 94, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  3. Nikolai S. Kukushkin, 2004. "Congestion Games Revisited," Game Theory and Information 0412010, EconWPA, revised 02 Feb 2006. [Downloadable!]
    Other versions:
  4. Nikolai S. Kukushkin, 2008. "Potential games with NM utilities," Economics Bulletin, Economics Bulletin, vol. 3(17), pages 1-7. [Downloadable!]
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