Dynamic Limit Pricing
This paper studies a simple multi-period model of limit pricing under one-sided incomplete information. I characterize pooling and separating equilibria, determine conditions under which the latter exist and study under which conditions on the primitives the equilibria involve limit pricing. The results are compared to a static benchmark. I identify two regimes that depend on the primitives of the model, namely a monopoly price regime and a limit price regime. In the former, the unique reasonable equilibrium involves immediate separation on monopoly prices. In the latter, I identify a unique class of reasonable limit price equilibria in which different types may initially pool for an arbitrary amount of time and then (possibly) separate. I argue that in a reasonable equilibrium, all signaling takes place in a single period (if the informed player is able to do so). If separation occurs in finite time, this involves setting prices that are so low that the inefficient incumbent's profits from mimicking are strictly negative. With a sufficiently high discount factor, the losses from mimicking may become arbitrarily large.
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- Milgrom, Paul & Roberts, John, 1982.
"Limit Pricing and Entry under Incomplete Information: An Equilibrium Analysis,"
Econometric Society, vol. 50(2), pages 443-459, March.
- Paul Milgrom & John Roberts, 1998. "Limit Pricing and Entry Under Incomplete Information: An Equilibrium Analysis," Levine's Working Paper Archive 245, David K. Levine.
- Berck, Peter & Perloff, Jeffrey M., 1988. "The dynamic annihilation of a rational competitive fringe by a low-cost dominant firm," Journal of Economic Dynamics and Control, Elsevier, vol. 12(4), pages 659-678, November.
- Berck, Peter & Perloff, Jeffrey M, 1987. "The Dynamic Annihilation of a Rational Competitive Fringe by a Low-cost Dominant Firm," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt6926m79z, Department of Agricultural & Resource Economics, UC Berkeley.
- Loretta J. Mester, 1992. "Perpetual Signalling with Imperfectly Correlated Costs," RAND Journal of Economics, The RAND Corporation, vol. 23(4), pages 548-563, Winter.
- Loretta J. Mester, 1990. "Perpetual signaling with imperfectly correlated costs," Working Papers 90-13, Federal Reserve Bank of Philadelphia.
- Georg Noldeke & Eric van Damme, 1990. "Signalling in a Dynamic Labour Market," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 1-23.
- Noldecke,Georg & van Damme,Eric, 1988. "Signalling in a dynamic labor market," Discussion Paper Serie A 148, University of Bonn, Germany.
- van Damme, E.E.C. & Nöldeke, G., 1990. "Signaling in a dynamic labor market," Other publications TiSEM b71cd444-f4c7-4282-bcc8-a, Tilburg University, School of Economics and Management.
- In-Koo Cho, 1990. "Uncertainty and Delay in Bargaining," Review of Economic Studies, Oxford University Press, vol. 57(4), pages 575-595.
- Cho, I-K., 1988. "Uncertainty And Delay In Bargaining," Papers 88-63, Chicago - Graduate School of Business.
- Therese Flaherty, M., 1980. "Dynamic limit pricing, barriers to entry, and rational firms," Journal of Economic Theory, Elsevier, vol. 23(2), pages 160-182, October.
- Kaya, Ayça, 2009. "Repeated signaling games," Games and Economic Behavior, Elsevier, vol. 66(2), pages 841-854, July.
- Ayça Kaya, 2005. "Repeated Signaling Games," CIE Discussion Papers 2005-07, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
- Gaskins, Darius Jr., 1971. "Dynamic limit pricing: Optimal pricing under threat of entry," Journal of Economic Theory, Elsevier, vol. 3(3), pages 306-322, September.
- Vincent, Daniel R, 1998. "Repeated Signalling Games and Dynamic Trading Relationships," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 275-293, May.
- Georg Nöldeke & Eric van Damme, 1990. "Switching Away From Probability One Beliefs," Discussion Paper Serie A 304, University of Bonn, Germany.
- De Bondt, Raymond R, 1976. "Limit Pricing, Uncertain Entry, and the Entry Lag," Econometrica, Econometric Society, vol. 44(5), pages 939-946, September.
- Matthews, Steven A & Mirman, Leonard J, 1983. "Equilibrium Limit Pricing: The Effects of Private Information and Stochastic Demand," Econometrica, Econometric Society, vol. 51(4), pages 981-996, July.
- Steven A. Matthews & Leonard J. Mirman, 1981. "Equilibrium Limit Pricing: The Effects of Private Information and Stochastic Demand," Discussion Papers 494, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Weiss, Andrew, 1983. "A Sorting-cum-Learning Model of Education," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 420-442, June.
- In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 179-221.
- In-Koo Cho & David M. Kreps, 1997. "Signaling Games and Stable Equilibria," Levine's Working Paper Archive 896, David K. Levine.
- Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, September.
- Rubinstein, Ariel, 1985. "A Bargaining Model with Incomplete Information about Time Preferences," Econometrica, Econometric Society, vol. 53(5), pages 1151-1172, September.
- Greg LeBlanc, 1992. "Signalling Strength: Limit Pricing and Predatory Pricing," RAND Journal of Economics, The RAND Corporation, vol. 23(4), pages 493-506, Winter.
- Judd, Kenneth L. & Petersen, Bruce C., 1986. "Dynamic limit pricing and internal finance," Journal of Economic Theory, Elsevier, vol. 39(2), pages 368-399, August.
- Kenneth L. Judd & Bruce C. Petersen, 1984. "Dynamic Limit Pricing and Internal Finance," Discussion Papers 603S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Heski Bar-Isaac, 2003. "Reputation and Survival: Learning in a Dynamic Signalling Model," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 231-251.
- Friedman, James W., 1983. "Limit price entry prevention when complete information is lacking," Journal of Economic Dynamics and Control, Elsevier, vol. 5(1), pages 187-199, February.
- Steven A. Lippman, 1980. "Optimal Pricing to Retard Entry," Review of Economic Studies, Oxford University Press, vol. 47(4), pages 723-731.
- Grossman, Sanford J. & Perry, Motty, 1986. "Sequential bargaining under asymmetric information," Journal of Economic Theory, Elsevier, vol. 39(1), pages 120-154, June.
- Sanford J. Grossman & Motty Perry, 1986. "Sequential Bargaining Under Asymmetric Information," NBER Technical Working Papers 0056, National Bureau of Economic Research, Inc.
- Baron, David P, 1973. "Limit Pricing, Potential Entry, and Barriers to Entry," American Economic Review, American Economic Association, vol. 63(4), pages 666-674, September.
- Madrigal, Vicente & Tan, Tommy C. C. & Werlang, Sergio Ribeiro da Costa, 1987. "Support restrictions and sequential equilibria," Journal of Economic Theory, Elsevier, vol. 43(2), pages 329-334, December. Full references (including those not matched with items on IDEAS)
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