Dynamic Cournot duopoly with intertemporal capacity constraints
This paper studies a dynamic Cournot duopoly in which suppliers have a limited amount of products available for two consecutive periods. We derive optimal sales strategies and analyze welfare effects with and without commitment. Under commitment, strategies do not depend on the rival's realized sales. In this case, there is a unique Nash equilibrium for any allocation of initial supplies and prices increase over time. Absent commitment, sellers can adjust their supply decision after the first period. In this case, a subgame perfect Nash equilibrium does not always exist and prices may decline over time. A more asymmetric allocation of stocks generally leads to higher first-period prices, whereas the impact on second-period prices is ambiguous. The larger firm typically prefers not to commit, whereas the smaller firm is better off under commitment. Commitment generates a higher total surplus and (almost always) a higher consumer surplus. Our findings thus suggest that market transparency or flexible supply contracts can adversely affect welfare in situations where production precedes sales and firms face an intertemporal capacity constraint.
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Volume (Year): 30 (2012)
Issue (Month): 2 ()
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- David Besanko & Ulrich Doraszelski, 2002.
"Capacity Dynamics and Endogenous Asymmetries in Firm Size,"
Computing in Economics and Finance 2002
196, Society for Computational Economics.
- David Besanko & Ulrich Doraszelski, 2004. "Capacity Dynamics and Endogenous Asymmetries in Firm Size," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 23-49, Spring.
- Loury, Glenn C, 1986. "A Theory of 'Oil'igopoly: Cournot Equilibrium in Exhaustible Resource Markets with Fixed Supplies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(2), pages 285-301, June.
- Gary Biglaiser & Nikolaos Vettas, 2007.
"Dynamic price competition with capacity constraints and strategic buyers,"
24, Portuguese Competition Authority.
- Biglaiser, Gary & Vettas, Nikolaos, 2004. "Dynamic Price Competition with Capacity Constraints and Strategic Buyers," CEPR Discussion Papers 4315, C.E.P.R. Discussion Papers.
- Saloner, Garth, 1987. "Cournot duopoly with two production periods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 183-187, June.
- Richard E. Levitan & Martin Shubik, 1970.
"Price Duopoly and Capacity Constraints,"
Cowles Foundation Discussion Papers
287, Cowles Foundation for Research in Economics, Yale University.
- Jean J. Gabszewicz & Sougata Poddar, 1997.
"Demand fluctuations and capacity utilization under duopoly,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 131-146.
- Gabszewicz, J.J. & Poddar, S., "undated". "Demand fluctuations and capacity utilization under duopoly," CORE Discussion Papers RP 1269, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- GABSZEWICZ, Jean J. & PODDAR , Sougata, 1995. "Demand Fluctuations and Capacity Utilization under Duopoly," CORE Discussion Papers 1995051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Tracy R. Lewis & Richard Schmalensee, 1980.
"On Oligopolistic Markets for Nonrenewable Natural Resources,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 95(3), pages 475-491.
- Lewis, Tracy R. & Schmalensee, Richard., 1979. "On oligopolistic markets for nonrenewable natural resources," Working papers 1052-79., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Pal, Debashis, 1991. "Cournot duopoly with two production periods and cost differentials," Journal of Economic Theory, Elsevier, vol. 55(2), pages 441-448, December.
- 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.
- Osborne, Martin J. & Pitchik, Carolyn, 1983. "Price Competition in a Capacity-Constrained Duopoly," Working Papers 83-08, C.V. Starr Center for Applied Economics, New York University.
- Gérard Gaudet & Ngo Van Long, 1991.
"On the Effects of the Distribution of Initial Endowments in a non Renewable Resource Duopoly,"
Cahiers de recherche du Département des sciences économiques, UQAM
9202, Université du Québec à Montréal, Département des sciences économiques.
- Gaudet, Gerard & Long, Ngo Van, 1994. "On the effects of the distribution of initial endowments in a nonrenewable resource duopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 18(6), pages 1189-1198, November.
- Kovenock, D. & Roy, S., 1995.
"Dynamic Capacity Choice in a Bertrand-Edgeworth Framework,"
Purdue University Economics Working Papers
1080, Purdue University, Department of Economics.
- Kovenock, Dan & Roy, Suddhasatwa, 1998. "Dynamic capacity choice in a Bertrand-Edgeworth frameqork," Journal of Mathematical Economics, Elsevier, vol. 29(2), pages 135-160, March.
- Bikhchandani, Sushil & Mamer, John W., 1993. "A duopoly model of pricing for inventory liquidation," European Journal of Operational Research, Elsevier, vol. 69(2), pages 177-186, September.
- Murugappa Krishnan & Lars-Hendrick Roller, 1993. "Preemptive Investment with Resalable Capacity," RAND Journal of Economics, The RAND Corporation, vol. 24(4), pages 479-502, Winter.
- Salo, Seppo & Tahvonen, Olli, 2001. "Oligopoly equilibria in nonrenewable resource markets," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 671-702, May.
- Reinganum, Jennifer F & Stokey, Nancy L, 1985. "Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 161-173, February.
- Pal, Debashis, 1996. "Endogenous Stackelberg Equilibria with Identical Firms," Games and Economic Behavior, Elsevier, vol. 12(1), pages 81-94, January.
- 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.
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