IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v49y2013i5p429-434.html
   My bibliography  Save this article

Survival in Cournot games

Author

Listed:
  • Leoni, Patrick L.

Abstract

In a model that encompasses a general equilibrium framework, we consider a monopolist (a producer) with subjective beliefs that endogenously hedges against fluctuations in input prices in a complete market. We allow for entries and Cournot competition in this economy, and we study how erroneous beliefs affect long-run survival for those firms. We introduce a notion of entropy of beliefs, and we use it to characterize the class of beliefs for which the monopolist eventually disappears almost surely. When disappearance occurs, the whole market power switches to the entrant making the most accurate predictions in our sense. The class of beliefs for which survival occurs is much broader than that of perfectly competitive settings.

Suggested Citation

  • Leoni, Patrick L., 2013. "Survival in Cournot games," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 429-434.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:5:p:429-434
    DOI: 10.1016/j.jmateco.2013.05.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406813000475
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2013.05.003?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. Patrick Leoni, 2008. "Market power, survival and accuracy of predictions in financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 189-206, January.
    2. Blume, Lawrence E. & Easley, David, 2002. "Optimality and Natural Selection in Markets," Journal of Economic Theory, Elsevier, vol. 107(1), pages 95-135, November.
    3. Alvaro Sandroni, 2000. "Do Markets Favor Agents Able to Make Accurate Predicitions?," Econometrica, Econometric Society, vol. 68(6), pages 1303-1342, November.
    4. Beggs, Alan W & Klemperer, Paul, 1992. "Multi-period Competition with Switching Costs," Econometrica, Econometric Society, vol. 60(3), pages 651-666, May.
    5. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(6), pages 877-900, October.
    6. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58(3), pages 211-211.
    7. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    8. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
    9. Patrick Leoni, 2012. "Rational expectations and monopolistic trades," Journal of Economics, Springer, vol. 107(2), pages 129-140, October.
    10. Blume, Lawrence & Easley, David, 1992. "Evolution and market behavior," Journal of Economic Theory, Elsevier, vol. 58(1), pages 9-40, October.
    11. J. Miguel Villas-Boas, 1999. "Dynamic Competition with Customer Recognition," RAND Journal of Economics, The RAND Corporation, vol. 30(4), pages 604-631, Winter.
    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. Patrick Leoni, 2012. "Rational expectations and monopolistic trades," Journal of Economics, Springer, vol. 107(2), pages 129-140, October.
    2. Beker, Pablo F., 2004. "Are inefficient entrepreneurs driven out of the market?," Journal of Economic Theory, Elsevier, vol. 114(2), pages 329-344, February.
    3. Dindo, Pietro & Massari, Filippo, 2020. "The wisdom of the crowd in dynamic economies," Theoretical Economics, Econometric Society, vol. 15(4), November.
    4. Amir, Rabah & Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2005. "Market selection and survival of investment strategies," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 105-122, February.
    5. Cvitanic Jaksa & Malamud Semyon, 2010. "Relative Extinction of Heterogeneous Agents," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-23, February.
    6. Cherkashin, Dmitriy & Farmer, J. Doyne & Lloyd, Seth, 2009. "The reality game," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1091-1105, May.
      • Dmitriy Cherkashin & J. Doyne Farmer & Seth Lloyd, 2009. "The Reality Game," Papers 0902.0100, arXiv.org, revised Feb 2009.
    7. Blume, Lawrence E. & Easley, David, 2002. "Optimality and Natural Selection in Markets," Journal of Economic Theory, Elsevier, vol. 107(1), pages 95-135, November.
    8. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186, Elsevier.
    9. Mikhail Zhitlukhin, 2022. "A continuous-time asset market game with short-lived assets," Finance and Stochastics, Springer, vol. 26(3), pages 587-630, July.
    10. Massari, Filippo, 2019. "Market selection in large economies: a matter of luck," Theoretical Economics, Econometric Society, vol. 14(2), May.
    11. Tarek Coury & Emanuela Sciubba, 2012. "Belief heterogeneity and survival in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 37-58, January.
    12. Witte, Björn-Christopher, 2013. "Fundamental traders' ‘tragedy of the commons’: Information costs and other determinants for the survival of experts and noise traders in financial markets," Economic Modelling, Elsevier, vol. 32(C), pages 377-385.
    13. Hens, Thorsten & Schenk-Hoppe, Klaus Reiner, 2006. "Markets do not select for a liquidity preference as behavior towards risk," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 279-292, February.
    14. Andrea Antico & Giulio Bottazzi & Daniele Giachini, 2022. "On the evolutionary stability of the sentiment investor," LEM Papers Series 2022/09, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    15. Ulrich Horst & Jan Wezelburger, 2006. "Non-ergodic Behavior in a Financial Market with Interacting Investors," 2006 Meeting Papers 229, Society for Economic Dynamics.
    16. Patrick Leoni, 2008. "Market power, survival and accuracy of predictions in financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 189-206, January.
    17. Eugen Kovac, 2005. "Speculation and Survival in Financial Markets," CERGE-EI Working Papers wp276, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    18. Evstigneev, Igor V. & Hens, Thorsten & Schenk-Hoppé, Klaus Reiner, 2008. "Globally evolutionarily stable portfolio rules," Journal of Economic Theory, Elsevier, vol. 140(1), pages 197-228, May.
    19. David Johnstone, 2007. "Economic Darwinism: Who has the Best Probabilities?," Theory and Decision, Springer, vol. 62(1), pages 47-96, February.
    20. Mikhail Zhitlukhin, 2021. "Asymptotically optimal strategies in a diffusion approximation of a repeated betting game," Papers 2108.11998, arXiv.org.

    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:mateco:v:49:y:2013:i:5:p:429-434. 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.elsevier.com/locate/jmateco .

    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.