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Bertrand-Edgeworth competition with substantial product differentiation

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  • Robert Somogyi

    ()
    (Ecole Polytechnique (ParisTech))

Abstract

Since Kreps and Scheinkman's seminal article (1983) a large number of papers have analyzed capacity constraints' potential to relax price competition. However, the ensuing literature has assumed that products are either perfect or very close substitutes. Therefore none of the papers has investigated the interaction between capacity constraints and substantial local monopoly power. The aim of the present paper is to shed light on this question using a standard Hotelling setup. The high level of product dfferentiation results in a variety of equilibrium firm behavior and it generates at least one pure strategy equilibrium for any capacity level. Thus the presence of local monopoly power challenges one of the most general findings about Bertrand-Edgeworth competition: the non-existence of pure strategy equilibria for some capacity levels.

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Bibliographic Info

Paper provided by Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences in its series IEHAS Discussion Papers with number 1332.

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Length: 23 pages
Date of creation: Sep 2013
Date of revision:
Handle: RePEc:has:discpr:1332

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Keywords: Duopoly; Bertrand-Edgeworth competition; Hotelling; Capacity constraint;

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  1. Brekke, Kurt R. & Nuscheler, Robert & Straume, Odd Rune, 2002. "Quality and location choices under price regulation," Discussion Papers, Research Unit: Market Processes and Governance FS IV 02-28, Social Science Research Center Berlin (WZB).
  2. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
  3. Daron Acemoglu & Kostas Bimpikis & Asuman Ozdaglar, 2006. "Price and Capacity Competition," NBER Working Papers 12804, National Bureau of Economic Research, Inc.
  4. Esther Gal-Or, 1997. "Exclusionary Equilibria in Health-Care Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(1), pages 5-43, 03.
  5. Yin, Xiangkang, 2004. "Two-part tariff competition in duopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 799-820, June.
  6. Thomas P. Lyon, 1999. "Quality Competition, Insurance, and Consumer Choice in Health Care Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 8(4), pages 546-580, December.
  7. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
  8. Koji Ishibashi & Toyokazu Kaneko, 2008. "Partial privatization in mixed duopoly with price and quality competition," Journal of Economics, Springer, vol. 95(3), pages 213-231, December.
  9. Xavier Wauthy, 1996. "Capacity constraints may restore the existence of an equilibrium in the Hotelling model," Journal of Economics, Springer, vol. 64(3), pages 315-324, October.
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