IDEAS home Printed from https://ideas.repec.org/p/tiu/tiutis/a2b8c559-8a5b-4a4a-8205-9a561960f224.html
   My bibliography  Save this paper

Congestion games and potentials reconsidered

Author

Listed:
  • Voorneveld, M.

    (Tilburg University, School of Economics and Management)

  • Borm, P.E.M.

    (Tilburg University, School of Economics and Management)

  • van Megen, F.J.C.
  • Tijs, S.H.

    (Tilburg University, School of Economics and Management)

  • Facchini, G.

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-maximising strategies coincide. Particular emphasis is on the computation of potential-maximising strategies.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Voorneveld, M. & Borm, P.E.M. & van Megen, F.J.C. & Tijs, S.H. & Facchini, G., 1999. "Congestion games and potentials reconsidered," Other publications TiSEM a2b8c559-8a5b-4a4a-8205-9, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:a2b8c559-8a5b-4a4a-8205-9a561960f224
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/683262/PB35____.PDF
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 81-93, January.
    2. Patrone, F. & Pieri, G. & Tijs, S.H. & Torre, A., 1996. "On Consistent Solutions for Strategic Games," Other publications TiSEM 07b489e5-dff2-45d0-bd65-1, Tilburg University, School of Economics and Management.
    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. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    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.
    6. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Voorneveld, Mark, 1997. "Equilibria and approximate equilibria in infinite potential games," Economics Letters, Elsevier, vol. 56(2), pages 163-169, October.
    2. 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 & University of Caen) 201303, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    3. Voorneveld, Mark, 2019. "An axiomatization of the Nash equilibrium concept," Games and Economic Behavior, Elsevier, vol. 117(C), pages 316-321.
    4. Kukushkin, Nikolai S., 2014. "Strong equilibrium in games with common and complementary local utilities," MPRA Paper 55499, University Library of Munich, Germany.
    5. Samir Sbabou & Hatem Smaoui & Abderrahmane Ziad, 2013. "A formula for Nash equilibria in monotone singleton congestion games," Economics Bulletin, AccessEcon, vol. 33(1), pages 334-339.
    6. Nikolai Kukushkin, 2007. "Congestion games revisited," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 57-83, September.
    7. Nikolai Kukushkin, 2011. "Acyclicity of improvements in finite game forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 147-177, February.
    8. Kets, W., 2008. "Networks and learning in game theory," Other publications TiSEM 7713fce1-3131-498c-8c6f-3, Tilburg University, School of Economics and Management.
    9. M. Koster & H. Reijnierse & M. Voorneveld, 2003. "Voluntary Contributions to Multiple Public Projects," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(1), pages 25-50, January.
    10. L. Mallozi & S. Tijs & M. Voorneveld, 2000. "Infinite Hierarchical Potential Games," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 287-296, November.
    11. Tobias Harks & Max Klimm & Rolf Möhring, 2013. "Strong equilibria in games with the lexicographical improvement property," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 461-482, May.
    12. Kukushkin, Nikolai S., 2017. "Strong Nash equilibrium in games with common and complementary local utilities," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 1-12.
    13. Martin Meier & Burkhard Schipper, 2014. "Bayesian games with unawareness and unawareness perfection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 219-249, June.
    14. Arnold, Tone & Wooders, Myrna, 2002. "Dynamic Club Formation with Coordination," Economic Research Papers 269414, University of Warwick - Department of Economics.
    15. Milchtaich, Igal, 2009. "Weighted congestion games with separable preferences," Games and Economic Behavior, Elsevier, vol. 67(2), pages 750-757, November.
    16. Dufwenberg, M. & Norde, H.W. & Reijnierse, J.H. & Tijs, S.H., 1997. "The consistency principle for set-valued solutions and a new direction for the theory of equilibrium refinements," Discussion Paper 1997-34, Tilburg University, Center for Economic Research.
    17. Page Jr., Frank H. & Wooders, Myrna, 2009. "Strategic basins of attraction, the path dominance core, and network formation games," Games and Economic Behavior, Elsevier, vol. 66(1), pages 462-487, May.
    18. Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
    19. Marco Scarsini & Tristan Tomala, 2012. "Repeated congestion games with bounded rationality," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 651-669, August.
    20. Kukushkin, Nikolai S., 2018. "A universal construction generating potential games," Games and Economic Behavior, Elsevier, vol. 108(C), pages 331-340.

    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiutis:a2b8c559-8a5b-4a4a-8205-9a561960f224. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Richard Broekman (email available below). General contact details of provider: https://www.tilburguniversity.edu/about/schools/economics-and-management/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.