IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v245y1997i1p181-188.html
   My bibliography  Save this article

Fluctuations around Nash equilibria in game theory

Author

Listed:
  • Marsili, Matteo
  • Zhang, Yi-Cheng

Abstract

We investigate the fluctuations induced by irrationality in simple games with a large number of competing players. We show that Nash equilibria in such games are “weakly” stable: irrationality propagates and amplifies through players' interactions so that huge fluctuations can result from a small amount of irrationality. In the presence of multiple Nash equilibria, our statistical approach allows to establish which is the globally stale equilibrium. However, characteristic times to reach this state can be very large.

Suggested Citation

  • Marsili, Matteo & Zhang, Yi-Cheng, 1997. "Fluctuations around Nash equilibria in game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(1), pages 181-188.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:1:p:181-188
    DOI: 10.1016/S0378-4371(97)00289-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197002896
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(97)00289-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
    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. Challet, D. & Zhang, Y.-C., 1997. "Emergence of cooperation and organization in an evolutionary game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 407-418.
    2. Łukasz Bil & Dariusz Grech & Magdalena Zienowicz, 2017. "Asymmetry of price returns—Analysis and perspectives from a non-extensive statistical physics point of view," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-24, November.

    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. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    2. Sandy Fréret & Denis Maguain, 2017. "The effects of agglomeration on tax competition: evidence from a two-regime spatial panel model on French data," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 24(6), pages 1100-1140, December.
    3. Carlo Rosa & Giovanni Verga, 2006. "The Impact of Central Bank Announcements on Asset Prices in Real Time: Testing the Efficiency of the Euribor Futures Market," CEP Discussion Papers dp0764, Centre for Economic Performance, LSE.
    4. Marco Bassetto, 2002. "A Game-Theoretic View of the Fiscal Theory of the Price Level," Econometrica, Econometric Society, vol. 70(6), pages 2167-2195, November.
    5. Arthur Schram & Boris Van Leeuwen & Theo Offerman, 2013. "Superstars Need Social Benefits: An Experiment on Network Formation," Working Papers 1306, Departament Empresa, Universitat Autònoma de Barcelona, revised Jul 2013.
    6. Patrick W. Schmitz, 2006. "Book Review," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 162(3), pages 535-542, September.
    7. Celik, Gorkem, 2006. "Mechanism design with weaker incentive compatibility constraints," Games and Economic Behavior, Elsevier, vol. 56(1), pages 37-44, July.
    8. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2017. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Working Papers hal-01592958, HAL.
    9. Christoph Engel, 2006. "The Difficult Reception of Rigorous Descriptive Social Science in the Law," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2006_1, Max Planck Institute for Research on Collective Goods.
    10. Boone, J., 2003. "Optimal Competition : A Benchmark for Competition Policy," Discussion Paper 2003-3, Tilburg University, Center for Economic Research.
    11. Cantillo, Miguel & Wright, Julian, 2000. "How Do Firms Choose Their Lenders? An Empirical Investigation," Review of Financial Studies, Society for Financial Studies, vol. 13(1), pages 155-189.
    12. Pierpaolo Battigalli, 2006. "Rationalization In Signaling Games: Theory And Applications," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 67-93.
    13. Horn, Henrik & Tangerås, Thomas, 2016. "Economics and Politics of International Investment Agreements," Working Paper Series 1140, Research Institute of Industrial Economics.
    14. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    15. Matthias Greiff & Fabian Paetzel, 2012. "The Importance of Knowing Your Own Reputation," MAGKS Papers on Economics 201236, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
    16. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    17. Johannes Urpelainen, 2011. "Frontrunners and Laggards: The Strategy of Environmental Regulation under Uncertainty," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 50(3), pages 325-346, November.
    18. 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.
    19. Schweizer, Nikolaus & Szech, Nora, 2015. "A quantitative version of Myerson regularity," Working Paper Series in Economics 76, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    20. Stefan Ambec & Michel Poitevin, 2016. "Decision-making in organizations: when to delegate and whom to delegate," Review of Economic Design, Springer;Society for Economic Design, vol. 20(2), pages 115-143, June.

    More about this item

    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:eee:phsmap:v:245:y:1997:i:1:p:181-188. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.