IDEAS home Printed from https://ideas.repec.org/p/tiu/tiutis/b7112a05-1878-4d36-beb3-fda3b76dfb2f.html
   My bibliography  Save this paper

A characterisation of ordinal potential games

Author

Listed:
  • Voorneveld, M.

    (Tilburg University, School of Economics and Management)

  • Norde, H.W.

    (Tilburg University, School of Economics and Management)

Abstract

This note characterizes ordinal potential games by the absence of weak improvement cycles and an order condition on the strategy space.This order condition is automatically satisfied if the strategy space is countable.
(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.)
(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.)
(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.)
(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.)
(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.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Voorneveld, M. & Norde, H.W., 1997. "A characterisation of ordinal potential games," Other publications TiSEM b7112a05-1878-4d36-beb3-f, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:b7112a05-1878-4d36-beb3-fda3b76dfb2f
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/203392/acharact.PDF
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nikolai Kukushkin, 2007. "Congestion games revisited," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 57-83, September.
    2. Jacques Durieu & Hans Haller & Nicolas Querou & Philippe Solal, 2008. "Ordinal Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 177-194.
    3. Christian Ewerhart, 2020. "Ordinal potentials in smooth games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1069-1100, November.
    4. Hannu Salonen, 2013. "Utilitarian Preferences and Potential Games," Discussion Papers 85, Aboa Centre for Economics.
    5. 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.
    6. Fioravante Patrone & Lucia Pusillo & Stef Tijs, 2007. "Multicriteria games and potentials," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 138-145, July.
    7. Koster, M.A.L. & Reijnierse, J.H. & Voorneveld, M., 1999. "Voluntary Contribution to Multiple Public Projects," Other publications TiSEM aec6651a-5174-4670-ae62-3, Tilburg University, School of Economics and Management.
    8. Hódsági, Kristóf & Szabó, György, 2019. "Bursts in three-strategy evolutionary ordinal potential games on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1379-1387.
    9. Voorneveld, Mark, 2000. "Best-response potential games," Economics Letters, Elsevier, vol. 66(3), pages 289-295, March.
    10. Deb, Rahul, 2008. "Interdependent Preferences, Potential Games and Household Consumption," MPRA Paper 6818, University Library of Munich, Germany.
    11. Jaeok Park, 2017. "Competitive equilibrium and singleton cores in generalized matching problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 487-509, May.
    12. 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.
    13. Kukushkin, Nikolai S., 2010. "On continuous ordinal potential games," MPRA Paper 20713, University Library of Munich, Germany.
    14. Andrea Collevecchio & Hlafo Alfie Mimun & Matteo Quattropani & Marco Scarsini, 2024. "Basins of Attraction in Two-Player Random Ordinal Potential Games," Papers 2407.05460, arXiv.org.
    15. Takuya Iimura, 2020. "Unilaterally competitive games with more than two players," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(3), pages 681-697, September.
    16. T. Demuynck & A. Schollaert, 2006. "Note on State Dependent Mutations as an Equilibrium Refinement Device," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 06/408, Ghent University, Faculty of Economics and Business Administration.
    17. Nikolai Kukushkin, 2011. "Nash equilibrium in compact-continuous games with a potential," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 387-392, May.
    18. Federico Echenique & Joseph Root & Fedor Sandomirskiy, 2024. "Stable matching as transportation," Papers 2402.13378, arXiv.org.
    19. Friedman, James W. & Mezzetti, Claudio, 2001. "Learning in Games by Random Sampling," Journal of Economic Theory, Elsevier, vol. 98(1), pages 55-84, May.

    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. Anthonisen, Niels, 1997. "On the Convergence of Beliefs within Populations in Games with Learning," Journal of Economic Theory, Elsevier, vol. 76(1), pages 169-184, September.
    2. repec:ebl:ecbull:v:3:y:2007:i:19:p:1-8 is not listed on IDEAS
    3. William H. Sandholm, 2005. "Negative Externalities and Evolutionary Implementation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(3), pages 885-915.
    4. Sandholm,W.H., 2003. "Excess payoff dynamics, potential dynamics, and stable games," Working papers 5, Wisconsin Madison - Social Systems.
    5. Voorneveld, Mark, 1997. "Equilibria and approximate equilibria in infinite potential games," Economics Letters, Elsevier, vol. 56(2), pages 163-169, October.
    6. Venkatasubramanian, Venkat & Luo, Yu & Sethuraman, Jay, 2015. "How much inequality in income is fair? A microeconomic game theoretic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 120-138.
    7. Jehiel, Philippe & Lamy, Laurent, 2014. "On discrimination in procurement auctions," CEPR Discussion Papers 9790, C.E.P.R. Discussion Papers.
    8. Falk Armin & Kosfeld Michael, 2012. "It's all about Connections: Evidence on Network Formation," Review of Network Economics, De Gruyter, vol. 11(3), pages 1-36, September.
    9. Vincent Boucher, 2017. "Selecting Equilibria using Best-Response Dynamics," Economics Bulletin, AccessEcon, vol. 37(4), pages 2728-2734.
    10. Grauwin, Sébastian & Goffette-Nagot, Florence & Jensen, Pablo, 2012. "Dynamic models of residential segregation: An analytical solution," Journal of Public Economics, Elsevier, vol. 96(1), pages 124-141.
    11. Ellison, Glenn, 1997. "Learning from Personal Experience: One Rational Guy and the Justification of Myopia," Games and Economic Behavior, Elsevier, vol. 19(2), pages 180-210, May.
    12. Voorneveld, Mark, 2010. "The possibility of impossible stairways: Tail events and countable player sets," Games and Economic Behavior, Elsevier, vol. 68(1), pages 403-410, January.
    13. Philip R Neary & Jonathan Newton, 2017. "Heterogeneity in preferences and behavior in threshold models," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 2(1), pages 141-159, December.
    14. Deb, Rahul, 2009. "A testable model of consumption with externalities," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1804-1816, July.
    15. Edward Cartwright & Anna Stepanova, 2017. "Efficiency in a forced contribution threshold public good game," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(4), pages 1163-1191, November.
    16. Slikker, Marco & Dutta, Bhaskar & van den Nouweland, Anne & Tijs, Stef, 2000. "Potential maximizers and network formation," Mathematical Social Sciences, Elsevier, vol. 39(1), pages 55-70, January.
    17. Galashin Mikhail & Popov Sergey V., 2016. "Teamwork Efficiency and Company Size," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(1), pages 337-366, January.
    18. Oyama, Daisuke & Tercieux, Olivier, 2009. "Iterated potential and robustness of equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1726-1769, July.
    19. Finn Christensen, 2019. "Comparative statics and heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 665-702, April.
    20. Morten L. Bech & Rodney J. Garratt, 2012. "Illiquidity in the Interbank Payment System Following Wide‐Scale Disruptions," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(5), pages 903-929, August.
    21. Apesteguia, Jose & Huck, Steffen & Oechssler, Jorg, 2007. "Imitation--theory and experimental evidence," Journal of Economic Theory, Elsevier, vol. 136(1), pages 217-235, September.

    More about this item

    JEL classification:

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

    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:b7112a05-1878-4d36-beb3-fda3b76dfb2f. 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.