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Congestion Games and Potentials Reconsidered

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Author Info

  • Voorneveld, M.
  • Borm, P.E.M.
  • Megen, F.J.C. van
  • Tijs, S.H.
  • Facchini, G.

    (Tilburg University, Center for Economic Research)

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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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-98.

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

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Web page: http://center.uvt.nl

Related research

Keywords: potential games; congestion; strong Nash equilibrium; potential-maximizing strategies;

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References

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  1. 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.
  2. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  3. 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.
  4. Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation for Research in Economics, Yale University.
  5. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
  6. 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.
  7. Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
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Citations

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Cited by:
  1. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, Open Access Journal, vol. 2(1), pages 87-113, February.
  2. Sandholm,W.H., 1999. "Potential games with continuous player sets," Working papers 23, Wisconsin Madison - Social Systems.
  3. Abderrahmane ZIAD & Samir SBABOU & Hatem SMAOUI, CEMOI, 2011. "Nonsymmetric singleton congestion games: case of two resources," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201113, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  4. Nikolai S. Kukushkin, 2004. "Congestion Games Revisited," Game Theory and Information 0412010, EconWPA, revised 02 Feb 2006.
  5. Milchtaich, Igal, 2004. "Social optimality and cooperation in nonatomic congestion games," Journal of Economic Theory, Elsevier, vol. 114(1), pages 56-87, January.
  6. Tobias Harks & Max Klimm & Rolf Möhring, 2013. "Strong equilibria in games with the lexicographical improvement property," International Journal of Game Theory, Springer, vol. 42(2), pages 461-482, May.
  7. Abderrahmane ZIAD & Samir SBABOU & Hatem SMAOUI, 2011. "Nash equilibria in nonsymmetric singleton congestion games with exact partition," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201115, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  8. Roughgarden, Tim & Tardos, Eva, 2004. "Bounding the inefficiency of equilibria in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 389-403, May.
  9. Samir Sbabou & Hatem Smaoui & Abderrahmane Ziad, 2013. "Jeux de congestion finis à choix unique : Théorie, Equilibres, Applications -Calculs et Complexités-," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201303, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  10. Abderrahmane ZIAD & Samir SBABOU & Hatem SMAOUI, CEMOI, 2011. "A formula for Nash equilibria in monotone singleton congestion games," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201114, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  11. Rabia Nessah & Guoqiang Tian, 2009. "On the Existence of Strong Nash Equilibria," Working Papers 2009-ECO-06, IESEG School of Management.
  12. Tercieux, O.R.C. & Voorneveld, M., 2005. "The Cutting Power of Preparation," Discussion Paper 2005-94, Tilburg University, Center for Economic Research.
  13. Nikolai S. Kukushkin, 2008. "Potential games with NM utilities," Economics Bulletin, AccessEcon, vol. 3(17), pages 1-7.
  14. repec:ebl:ecbull:v:3:y:2008:i:17:p:1-7 is not listed on IDEAS
  15. Milchtaich, Igal, 2006. "Network topology and the efficiency of equilibrium," Games and Economic Behavior, Elsevier, vol. 57(2), pages 321-346, November.
  16. Rabia Nessah & Tarik Tazdait, 2010. "Quasicontinuity and Nash Equilibrium in Compact and Convex Games," Working Papers 2010-ECO-09, IESEG School of Management.
  17. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.

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