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- An Evolutionary Model Of Bertrand Oligopoly

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Author Info

  • Ana B. Ania

    (Universidad de Alicante)

  • Carlos Alós-Ferrer

    (Universidad de Alicante)

  • Klaus R. Schenk-Hoppé

    (University of Bielefeld)

Abstract

We analyze the long-run outcome of markets in which boundedly rational firms with a decreasingreturns to scale technology compete in prices. The behavior of these firms is based on limitation ofsuccess and experimentation. In this framework, we introduce a new approach to model boundedlyrational behavior, based on the idea of behavioral principles, i.e. formal descriptions. Even with thesimplest ones, the result is that the prices announced are a strict refinement of the set of Nashequilibria. With more sophisticated behavioral principles, the long-run outcome corresponds to theconcept of central prices (wich are also Nash equilibria) introduced here. This is a robust andclear-cut prediction wich, under quadratic costs and arbitrary demand, essentially coincides with theWalrasian equilibrium.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1998-14.pdf
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1998-14.

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Length: 28 pages
Date of creation: Jul 1998
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1998-14

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Related research

Keywords: evolution; mutation; imitation;

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References

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  1. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  2. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  3. Dastidar, Krishnendu Ghosh, 1997. "Comparing Cournot and Bertrand in a Homogeneous Product Market," Journal of Economic Theory, Elsevier, vol. 75(1), pages 205-212, July.
  4. Schlag, Karl H., 1994. "Why Imitate, and if so, How? Exploring a Model of Social Evolution," Discussion Paper Serie B 296, University of Bonn, Germany.
  5. Karl H. Schlag, . "Why Imitate, and if so, How? A Bounded Rational Approach to Multi- Armed Bandits," ELSE working papers 028, ESRC Centre on Economics Learning and Social Evolution.
  6. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  7. Shapiro, Carl, 1989. "Theories of oligopoly behavior," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 6, pages 329-414 Elsevier.
  8. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer, vol. 5(1), pages 19-32, January.
  9. Steffen Huck & Hans-Theo Normann & Joerg Oechssler, 1998. "Does information about competitors' actions increase or decrease competition in experimental oligopoly markets?," Industrial Organization 9803004, EconWPA.
  10. Ana B. Ania & Carlos Alós Ferrer & Fernando Vega Redondo, 1997. "From Walrasian oligopolies to natural monopolyan: An evolutionary model of market structure," Working Papers. Serie AD 1997-24, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
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