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Equilibrium payoffs in a Bertrand-Edgeworth model with product differentiation

  • BOCCARD, Nicolas
  • WAUTHY, Xavier

In this note, we consider a Bertrand-Edgeworth duopoly model in which products are differentiated ”à la Hotelling”. We assumine that only one of the two firms faces a capacity constraint. For this particular case, we characterize the equilibrium payoff of the unconstrained firm for the complete domain of capacity levels.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number 1867.

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Handle: RePEc:cor:louvrp:1867
Note: In : Economics Bulletin, 12(11), 1-8, 2005
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  1. BOCCARD, Nicolas & WAUTHY, Xavier, . "Optimal quotas, price competition and products' attributes," CORE Discussion Papers RP 1685, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Furth, D. & Kovenock, D., 1990. "Price Leadership In A Duopoly With Capacity Constraints And Product Differentiation," Purdue University Economics Working Papers 992, Purdue University, Department of Economics.
  3. Krishna, Kala, 1989. "Trade restrictions as facilitating practices," Journal of International Economics, Elsevier, vol. 26(3-4), pages 251-270, May.
  4. Shapley, Lloyd S & Shubik, Martin, 1969. "Price Strategy Oligopoly with Product Variation," Kyklos, Wiley Blackwell, vol. 22(1), pages 30-44.
  5. Richard E. Levitan & Martin Shubik, 1970. "Price Duopoly and Capacity Constraints," Cowles Foundation Discussion Papers 287, Cowles Foundation for Research in Economics, Yale University.
  6. Jean-Pascal Benassy, 1989. "Market Size and Substitutability in Imperfect Competition: A Bertrand-Edgeworth-Chamberlin Model," Review of Economic Studies, Oxford University Press, vol. 56(2), pages 217-234.
  7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, June.
  8. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
  9. repec:adr:anecst:y:1998:i:49-50:p:18 is not listed on IDEAS
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