IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/64736.html

Evolution in a Walrasian setting

Author

Listed:
  • Accinelli, Elvio
  • Covarrubias, Enrique

Abstract

This paper models the dynamic of a sector where firms imitate the technology of leading firms. While it would seem natural to expect that managers will aim at producing with the technology that produces the highest benefits, if many other managers also follow this behavior, the market structure might be modified so much that the advantage associated with a high-profit technology might be erased or even reverse. By modeling this imitation process with replicating dynamics, we find that even if the parameters of the economy are continuous through time and the economy follows a path of competitive equilibria, endogenous discrete jumps in technological choices occur.

Suggested Citation

  • Accinelli, Elvio & Covarrubias, Enrique, 2015. "Evolution in a Walrasian setting," MPRA Paper 64736, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:64736
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/64736/1/MPRA_paper_64736.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
    2. Apesteguia, Jose & Huck, Steffen & Oechssler, Jörg & Weidenholzer, Simon, 2010. "Imitation and the evolution of Walrasian behavior: Theoretically fragile but behaviorally robust," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1603-1617, September.
    3. Yves Balasko, 2009. "The Equilibrium Manifold: Postmodern Developments in the Theory of General Economic Equilibrium," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262026546, December.
    4. Kandori, Michihiro & Serrano, Roberto & Volij, Oscar, 2008. "Decentralized trade, random utility and the evolution of social welfare," Journal of Economic Theory, Elsevier, vol. 140(1), pages 328-338, May.
    5. Huang, Weihong, 2003. "A naive but optimal route to Walrasian behavior in oligopolies," Journal of Economic Behavior & Organization, Elsevier, vol. 52(4), pages 553-571, December.
    6. Huang, Weihong, 2011. "Price-taking behavior versus continuous dynamic optimizing," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 37-50, April.
    7. Elvio ACCINELLI & Puchet MARTIN, 2010. "A Classification Of Infinity Dimensional Walrasian Economies," EcoMod2005 280900000, EcoMod.
    8. Harrington, Joseph Jr. & Chang, Myong-Hun, 2005. "Co-evolution of firms and consumers and the implications for market dominance," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 245-276, January.
    9. Bergin, James & Bernhardt, Dan, 2009. "Cooperation through imitation," Games and Economic Behavior, Elsevier, vol. 67(2), pages 376-388, November.
    10. Ben-Shoham, Assaf & Serrano, Roberto & Volij, Oscar, 2004. "The evolution of exchange," Journal of Economic Theory, Elsevier, vol. 114(2), pages 310-328, February.
    11. Ania, Ana B., 2008. "Evolutionary stability and Nash equilibrium in finite populations, with an application to price competition," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 472-488, March.
    12. Duersch, Peter & Oechssler, Jörg & Schipper, Burkhard C., 2012. "Unbeatable imitation," Games and Economic Behavior, Elsevier, vol. 76(1), pages 88-96.
    13. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
    14. Jesse Perla & Christopher Tonetti, 2014. "Equilibrium Imitation and Growth," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 52-76.
    15. Duersch, Peter & Oechssler, Jörg & Schipper, Burkhard C., 2012. "Unbeatable imitation," Games and Economic Behavior, Elsevier, vol. 76(1), pages 88-96.
    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. Wolfgang Leininger & Hamed Moghadam, 2014. "Evolutionary Stability in Asymmetric Oligopoly. A Non-Walrasian Result," Ruhr Economic Papers 0497, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    2. Alós-Ferrer, Carlos & Weidenholzer, Simon, 2014. "Imitation and the role of information in overcoming coordination failures," Games and Economic Behavior, Elsevier, vol. 87(C), pages 397-411.
    3. Leininger, Wolfgang & Moghadam, Hamed M., 2014. "Evolutionary Stability in Asymmetric Oligopoly. A Non-Walrasian Result," Ruhr Economic Papers 497, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    4. Jonas Hedlund, 2015. "Imitation in Cournot oligopolies with multiple markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 567-587, November.
    5. Duersch, Peter & Oechssler, Jörg & Schipper, Burkhard C., 2012. "Unbeatable imitation," Games and Economic Behavior, Elsevier, vol. 76(1), pages 88-96.
    6. Peter Duersch & Jörg Oechssler & Burkhard Schipper, 2014. "When is tit-for-tat unbeatable?," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 25-36, February.
    7. Hamed Markazi Moghadam, 2020. "Price and non-price competition in an oligopoly: an analysis of relative payoff maximizers," Journal of Evolutionary Economics, Springer, vol. 30(2), pages 507-521, April.
    8. Duersch, Peter & Oechssler, Jörg & Schipper, Burkhard C., 2012. "Unbeatable imitation," Games and Economic Behavior, Elsevier, vol. 76(1), pages 88-96.
    9. Shi, Fei & Zhang, Boyu, 2019. "Cournot competition, imitation, and information networks," Economics Letters, Elsevier, vol. 176(C), pages 83-85.
    10. Buckert, Magdalena & Oechssler, Jörg & Schwieren, Christiane, 2017. "Imitation under stress," Journal of Economic Behavior & Organization, Elsevier, vol. 139(C), pages 252-266.
    11. Tsakas, Nikolas, 2017. "Diffusion by imitation: The importance of targeting agents," Journal of Economic Behavior & Organization, Elsevier, vol. 139(C), pages 118-151.
    12. Burkhard Schipper & Peter Duersch & Joerg Oechssler, 2011. "Once Beaten, Never Again: Imitation in Two-Player Potential Games," Working Papers 26, University of California, Davis, Department of Economics.
    13. Zhiwei Cui & Yan-An Hwang, 2017. "House exchange and residential segregation in networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(1), pages 125-147, March.
    14. Kandori, Michihiro & Serrano, Roberto & Volij, Oscar, 2008. "Decentralized trade, random utility and the evolution of social welfare," Journal of Economic Theory, Elsevier, vol. 140(1), pages 328-338, May.
    15. Cabo, Francisco & García-González, Ana, 2020. "Interaction and imitation with heterogeneous agents: A misleading evolutionary equilibrium," Journal of Economic Behavior & Organization, Elsevier, vol. 179(C), pages 152-174.
    16. Mehmet S. Ismail & Ronald Peeters, 2024. "A connection between von Neumann-Morgenstern expected utility and symmetric potential games," Theory and Decision, Springer, vol. 97(4), pages 707-720, December.
    17. Roberto Serrano & Oscar Volij, 2008. "Mistakes in Cooperation: The Stochastic Stability of Edgeworth's Recontracting," Economic Journal, Royal Economic Society, vol. 118(532), pages 1719-1741, October.
    18. Peter Duersch & Jörg Oechssler & Burkhard Schipper, 2014. "When is tit-for-tat unbeatable?," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(1), pages 25-36, February.
    19. Chongmin Kim & Kam-Chau Wong, 2011. "Evolution of Walrasian equilibrium in an exchange economy," Journal of Evolutionary Economics, Springer, vol. 21(4), pages 619-647, October.
    20. repec:cam:camjip:2401 is not listed on IDEAS
    21. Burkhard C. Schipper, 2021. "The evolutionary stability of optimism, pessimism, and complete ignorance," Theory and Decision, Springer, vol. 90(3), pages 417-454, May.

    More about this item

    Keywords

    ;
    ;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E03 - Macroeconomics and Monetary Economics - - General - - - Behavioral Macroeconomics
    • O14 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Industrialization; Manufacturing and Service Industries; Choice of Technology

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:64736. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.