Dynamic Price Competition with Price Adjustment Costs and Product Differentiation
We study a discrete time dynamic game of price competition with spatially differentiated products and price adjustment costs. We characterise the Markov perfect and the open-loop equilibrium of our game. We find that in the steady state Markov perfect equilibrium, given the presence of adjustment costs, equilibrium prices are always higher than prices at the repeated static Nash solution, even though, adjustment costs are not paid in steady state. This is due to intertemporal strategic complementarity in the strategies of the firms and from the fact that the cost of adjusting prices adds credibility to high price equilibrium strategies. On the other hand, the stationary open-loop equilibrium coincides always with the static solution. Furthermore, in contrast to continuous time games, we show that the stationary Markov perfect equilibrium converges to the static Nash equilibrium when adjustment costs tend to zero. Moreover, we obtain the same convergence result when adjustment costs tend to infinity.
|Date of creation:||Dec 2003|
|Date of revision:|
|Contact details of provider:|| Postal: Corso Magenta, 63 - 20123 Milan|
Web page: http://www.feem.it/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- AMIR, Rabah, 2001.
"Stochastic games in economics and related fields: an overview,"
CORE Discussion Papers
2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- AMIR, Rabah, . "Stochastic games in economics and related fields: an overview," CORE Discussion Papers RP 1664, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Eric Maskin & Jean Tirole, 1997.
"Markov Perfect Equilibrium, I: Observable Actions,"
Harvard Institute of Economic Research Working Papers
1799, Harvard - Institute of Economic Research.
- Driskill, Robert A. & McCafferty, Stephen, 1989. "Dynamic duopoly with adjustment costs: A differential game approach," Journal of Economic Theory, Elsevier, vol. 49(2), pages 324-338, December.
- N. Gregory Mankiw, 1985. "Small Menu Costs and Large Business Cycles: A Macroeconomic Model of Monopoly," The Quarterly Journal of Economics, Oxford University Press, vol. 100(2), pages 529-538.
- Piga, Claudio A. G., 2000. "Competition in a duopoly with sticky price and advertising," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 595-614, May.
- Jun, Byoung & Vives, Xavier, 2001. "Incentives in Dynamic Duopoly," CEPR Discussion Papers 2899, C.E.P.R. Discussion Papers.
- Lapham, Beverly & Ware, Roger, 1994. "Markov puppy dogs and related animals," International Journal of Industrial Organization, Elsevier, vol. 12(4), pages 569-593, December.
- Rotemberg, Julio J, 1982. "Sticky Prices in the United States," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1187-1211, December.
- Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-64, September.
- Akerlof, George A & Yellen, Janet L, 1985. "Can Small Deviations from Rationality Make Significant Differences to Economic Equilibria?," American Economic Review, American Economic Association, vol. 75(4), pages 708-20, September.
- Jensen, H. & Lockwood, B., 1995.
"A Note on Discontinuous Value Functions and Strategies in Affine-Quadratic Differential Games,"
9514, Exeter University, Department of Economics.
- Jensen, Henrik & Lockwood, Ben, 1998. "A note on discontinuous value functions and strategies in affine-quadratic differential games," Economics Letters, Elsevier, vol. 61(3), pages 301-306, December.
- Lockwood, Ben, 1996. "Uniqueness of Markov-perfect equilibrium in infinite-time affine-quadratic differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 20(5), pages 751-765, May.
- Karp, Larry S. & Perloff, Jeffrey M., 1993.
"Open-loop and feedback models of dynamic oligopoly,"
International Journal of Industrial Organization,
Elsevier, vol. 11(3), pages 369-389, September.
- Karp, Larry & Perloff, Jeffrey M, 1988. "Open-loop and feedback models of dynamic oligopoly," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt7pn779rc, Department of Agricultural & Resource Economics, UC Berkeley.
- Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-99, May.
- Fudenberg, Drew & Tirole, Jean, 1984. "The Fat-Cat Effect, the Puppy-Dog Ploy, and the Lean and Hungry Look," American Economic Review, American Economic Association, vol. 74(2), pages 361-66, May.
- Reynolds, Stanley S., 1991. "Dynamic oligopoly with capacity adjustment costs," Journal of Economic Dynamics and Control, Elsevier, vol. 15(3), pages 491-514, July.
- Slade, Margaret E., 1999. "Sticky prices in a dynamic oligopoly: An investigation of (s,S) thresholds," International Journal of Industrial Organization, Elsevier, vol. 17(4), pages 477-511, May.
When requesting a correction, please mention this item's handle: RePEc:fem:femwpa:2003.120. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (barbara racah)
If references are entirely missing, you can add them using this form.