IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-01c70015.html
   My bibliography  Save this article

On stability of Bertrand-Nash equilibrium in a simple model of the labour market

Author

Listed:
  • Massimo A. De Francesco

    (Department of Economics, University of Siena)

Abstract

We examine a Bertrand-Edgeworth model of competition in a labour market where the workers simultaneously set wages disregarding any influence their current decision may have on opponents' future decisions. The iterated best response process is shown to converge in finite time to a Bertrand-Nash solution, where wages are set at the market-clearing level. This convergence result is also shown to hold when the assumption of static expectations is replaced by milder restrictions on beliefs about opponents'' wages.

Suggested Citation

  • Massimo A. De Francesco, 2001. "On stability of Bertrand-Nash equilibrium in a simple model of the labour market," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-10.
    • Handle: RePEc:ebl:ecbull:eb-01c70015
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/pubs/EB/2001/Volume3/EB-01C70015A.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Cheng-Zhong Qin & Burkhard Hehenkamp & Charles Stuart, 1999. "Economic natural selection in Bertrand and Cournot settings," Journal of Evolutionary Economics, Springer, vol. 9(2), pages 211-224.
    2. Mary A. Dimand & Robert W. Dimand (ed.), 1997. "The Foundations of Game Theory," Books, Edward Elgar Publishing, volume 0, number 909.
    3. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116.
    4. Cheng-Zhong Qin & Charles Stuart, 1997. "Bertrand versus Cournot revisited," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(3), pages 497-507.
    5. Franklin M. Fisher, 1961. "The Stability of the Cournot Oligopoly Solution: The Effects of Speeds of Adjustment and Increasing Marginal Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 125-135.
    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. Börgers, Tilman & Janssen, Maarten C.W., 1995. "On the dominance solvability of large cournot games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 297-321.
    2. Tasnadi, Attila, 2006. "Price vs. quantity in oligopoly games," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 541-554, May.
    3. Bervoets, Sebastian & Faure, Mathieu, 2020. "Convergence in games with continua of equilibria," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 25-30.
    4. Roy Chowdhury, Prabal, 2008. "Bertrand-Edgeworth equilibrium with a large number of firms," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 746-761, May.
    5. Villena, Marcelo J. & Araneda, Axel A., 2017. "Dynamics and stability in retail competition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 134(C), pages 37-53.
    6. Jacobs, Martin & Requate, Till, 2016. "Bertrand-Edgeworth markets with increasing marginal costs and voluntary trading: Experimental evidence," Economics Working Papers 2016-01, Christian-Albrechts-University of Kiel, Department of Economics.
    7. Giovanni Paolo Crespi & Davide Radi & Matteo Rocca, 2017. "Robust games: theory and application to a Cournot duopoly model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 177-198, November.
    8. Jean J. Gabszewicz & Marco A. Marini & Skerdilajda Zanaj, 2023. "Random encounters and information diffusion about product quality," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 32(2), pages 348-376, April.
    9. repec:ebl:ecbull:v:12:y:2008:i:29:p:1-8 is not listed on IDEAS
    10. Xiaoliang Li & Bo Li, 2023. "A Bertrand duopoly game with differentiated products reconsidered," Papers 2301.01007, arXiv.org.
    11. Fallucchi, Francesco & Renner, Elke & Sefton, Martin, 2013. "Information feedback and contest structure in rent-seeking games," European Economic Review, Elsevier, vol. 64(C), pages 223-240.
    12. Yasuhiro Shirata, 2020. "Evolution of a Collusive Price in a Networked Market," Dynamic Games and Applications, Springer, vol. 10(2), pages 528-554, June.
    13. Davis, Douglas, 2011. "Behavioral convergence properties of Cournot and Bertrand markets: An experimental analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 443-458.
    14. Li, Xiaoliang & Yang, Jing & Zhang, Ally Quan, 2025. "Influence of price elasticity of demand on monopoly games under different returns to scale," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 233(C), pages 75-98.
    15. Attila Tasnádi, 2016. "Endogenous timing of moves in Bertrand–Edgeworth triopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 317-334, December.
    16. Steffen Huck & Hans-Theo Normann & Jörg Oechssler, 2002. "Stability of the Cournot process - experimental evidence," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 123-136.
    17. Xiaoliang Li & Bo Li & Li Su, 2024. "Dynamics of a Cournot game with bounded rational firms and various scale effects," PLOS ONE, Public Library of Science, vol. 19(5), pages 1-28, May.
    18. Hyungho Youn & Patrick De Leenheer & Victor Tremblay, 2016. "Output Diffusion of the Monopolist Over Time and Space," Journal of Optimization Theory and Applications, Springer, vol. 169(1), pages 290-298, April.
    19. Giovannoni, Francesco & de Dios Tena, Juan, 2008. "Market concentration, macroeconomic uncertainty and monetary policy," European Economic Review, Elsevier, vol. 52(6), pages 1097-1123, August.
    20. Cruz, Jose M., 2008. "Dynamics of supply chain networks with corporate social responsibility through integrated environmental decision-making," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1005-1031, February.
    21. Cars H. Hommes & Marius I. Ochea & Jan Tuinstra, 2018. "Evolutionary Competition Between Adjustment Processes in Cournot Oligopoly: Instability and Complex Dynamics," Dynamic Games and Applications, Springer, vol. 8(4), pages 822-843, December.

    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • J3 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs

    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:ebl:ecbull:eb-01c70015. 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: John P. Conley (email available below). General contact details of provider: .

    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.