This paper analyzes duopolistic price-leadership games in which firms have capacity constraints. We provide a complete characterization of price leader equilibria under quite general assumptions on demand and for arbitrary capacities. We show that when capacities are in the range where the simultaneous-move price-setting game (with efficiently rationed demand) yields a mixed-strategy solution the large firm is indifferent between being a leader, a follower, or moving simultaneously. The small firm, while indifferent between being a leader and moving simultaneously, strictly prefers to be a follower. This motivates the discussion of games of timing with ex-post inflexible prices in which the large firm becomes an endogenously determined price leader. We thus provide a game-theoretic model of dominant-firm price leadership.
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|Date of creation:||Mar 1988|
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|Contact details of provider:|| Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014|
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- Dixon, Huw, 1987. "The General Theory of Household and Market Contingent Demand," The Manchester School of Economic & Social Studies, University of Manchester, vol. 55(3), pages 287-304, September.
- Richard E. Levitan & Martin Shubik, 1970.
"Price Duopoly and Capacity Constraints,"
Cowles Foundation Discussion Papers
287, Cowles Foundation for Research in Economics, Yale University.
- William A. Brock & José A. Scheinkman, 1985. "Price Setting Supergames with Capacity Constraints," Review of Economic Studies, Oxford University Press, vol. 52(3), pages 371-382.
- Osborne, Martin J. & Pitchik, Carolyn, 1983.
"Price Competition in a Capacity-Constrained Duopoly,"
83-08, C.V. Starr Center for Applied Economics, New York University.
- Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
- Raymond Deneckere & Dan Kovenock, 1994.
"Capacity-Constrained Price Competition when Unit Costs Differ,"
9411001, EconWPA, revised 15 Nov 1994.
- Deneckere, R.J. & Kovenock, D., 1994. "Capacity Constrained Price Competition when Unit Costs Differ," Purdue University Economics Working Papers 1056, Purdue University, Department of Economics.
- Raymond J. Deneckere & Dan Kovenock, 1988. "Capacity-Constrained Price Competition When Unit Costs Differ," Discussion Papers 861, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Julio Rotemberg & Garth Saloner, 1986.
412, Massachusetts Institute of Technology (MIT), Department of Economics.
- Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-53, October.
- Jean-Pierre Benoit & Vijay Krishna, 1987. "Dynamic Duopoly: Prices and Quantities," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 23-35.
- Raymond J. Deneckere & Dan Kovenock, 1992.
Review of Economic Studies,
Oxford University Press, vol. 59(1), pages 143-162.
- Carl Davidson & Raymond Deneckere, 1984.
"Excess Capacity and Collusion,"
675, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Ono, Yoshiyasu, 1982. "Price Leadership: A Theoretical Analysis," Economica, London School of Economics and Political Science, vol. 49(193), pages 11-20, February.
- Steve Dowrick, 1986. "von Stackelberg and Cournot Duopoly: Choosing Roles," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 251-260, Summer.
- Ono, Yoshiyasu, 1978. "The Equilibrium of Duopoly in a Market of Homogeneous Goods," Economica, London School of Economics and Political Science, vol. 45(179), pages 287-95, August.
- Huw Dixon, 1987. "Approximate Bertrand Equilibria in a Replicated Industry," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 47-62.
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