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El número óptimo de empresas bajo competencia de Bertrand

  • Germán Coloma

Este trabajo es acerca de un modelo de competencia en precios en el mercado de un producto homogéneo con libre entrada de empresas idénticas y rendimientos variables a escala. Si el número óptimo de empresas activas en el mercado es dos o más, el equilibrio de Bertrand existe siempre para dicho número óptimo, y no existe si el número de empresas activas es menor que el óptimo. El modelo, sin embargo, no descarta la existencia de equilibrios con más empresas activas que el óptimo. Finalmente, si el número óptimo de empresas es igual a uno, entonces el equilibrio de Bertrand no existe.

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File URL: http://www.ucema.edu.ar/publicaciones/download/documentos/397.pdf
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Paper provided by Universidad del CEMA in its series CEMA Working Papers: Serie Documentos de Trabajo. with number 397.

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Length: 17 pages
Date of creation: May 2009
Date of revision:
Handle: RePEc:cem:doctra:397
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  1. Friedman, J. & Thisse, J.F., 1992. "Sustainable Collusion in Oligopoly with Free Entry," Papiers d'Economie Mathématique et Applications 92-18, Université Panthéon-Sorbonne (Paris 1).
  2. Rodolphe Dos Santos Ferreira & Frédéric Dufourt, 2007. "Free entry equilibria with positive profits: A unified approach to quantity and price competition games," Post-Print halshs-00796163, HAL.
  3. Steffen Hoernig, 2007. "Bertrand Games and Sharing Rules," Economic Theory, Springer, vol. 31(3), pages 573-585, June.
  4. Anderson, Simon P & de Palma, Andre & Nesterov, Yurii, 1995. "Oligopolistic Competition and the Optimal Provision of Products," Econometrica, Econometric Society, vol. 63(6), pages 1281-1301, November.
  5. Novshek, William & Chowdhury, Prabal Roy, 2003. "Bertrand equilibria with entry: limit results," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 795-808, June.
  6. Claude D’Aspremont & Rodolphe Dos Santos Ferreira & Louis-Andre Gerard-Varet, 2000. "Contestability and the Indeterminacy of Free-Entry Equilibria," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 72-83, 03.
  7. Sharkey, William W. & Sibley, David S., 1993. "A Bertrand model of pricing and entry," Economics Letters, Elsevier, vol. 41(2), pages 199-206.
  8. Corchon, Luis C. & Fradera, Isabel, 2002. "Comparative statics in Cournot free entry equilibrium," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 155-168, November.
  9. Vettas, Nikolaos, 2000. "On entry, exit, and coordination with mixed strategies," European Economic Review, Elsevier, vol. 44(8), pages 1557-1576, August.
  10. Makoto Yano, 2006. "A price competition game under free entry," Economic Theory, Springer, vol. 29(2), pages 395-414, October.
  11. Saporiti Alejandro & Coloma Germán, 2010. "Bertrand Competition in Markets with Fixed Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-30, June.
  12. Brander, James A & Spencer, Barbara J, 1985. "Tacit Collusion, Free Entry, and Welfare," Journal of Industrial Economics, Wiley Blackwell, vol. 33(3), pages 277-94, March.
  13. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer, vol. 5(1), pages 19-32, January.
  14. Prabal Roy Chowdhury, 2002. "Limit-pricing as Bertrand equilibrium," Economic Theory, Springer, vol. 19(4), pages 811-822.
  15. N. Gregory Mankiw & Michael D. Whinston, 1986. "Free Entry and Social Inefficiency," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 48-58, Spring.
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