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Dynamic Bertrand competition with intertemporal demand

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Author Info
Weibull, Jörgen () (Dept. of Economics, Stockholm School of Economics)
Dutta, Prajit (Columbia University)
Matros, Alexander (University College London)

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Abstract

In the text-book model of dynamic Bertrand competition, competing firms meet the same demand function every period. This is not a satisfactory model of the demand side if consumers can make intertemporal substitution between periods. Each period then leaves some residual demand to future periods, and consumers who observe price under-cutting may correctly anticipate en ensuing price war and therefore postpone their purchases. Accordingly, the interaction between the firms no longer constitutes a repeated game, and hence falls outside the domain of the usual Folk theorems.

We analyze collusive pricing in such situations, and study cases when consumers have perfect and imperfect foresight and varying degrees of patience. It turns out that collusion against patient and forward-looking consumers is easier to sustain than collusion in the text-book model.

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Publisher Info
Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 493.

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Length: 21 pages
Date of creation: 01 Mar 2002
Date of revision: 15 Feb 2005
Handle: RePEc:hhs:hastef:0493

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Related research
Keywords: Bertrand competition; Coase conjecture; dynamic oligopoly; stochastic games;

Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
D92 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Firm Choice and Growth, Investment, or Financing
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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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.:
  1. Lawrence M. Ausubel & Raymond J. Deneckere, 1987. "One is Almost Enough for Monopoly," RAND Journal of Economics, The RAND Corporation, vol. 18(2), pages 255-274, Summer. [Downloadable!] (restricted)
  2. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law & Economics, University of Chicago Press, vol. 15(1), pages 143-49, April.
  3. Dutta Prajit K., 1995. "A Folk Theorem for Stochastic Games," Journal of Economic Theory, Elsevier, vol. 66(1), pages 1-32, June. [Downloadable!] (restricted)
  4. Faruk Gul, 1987. "Noncooperative Collusion in Durable Goods Oligopoly," RAND Journal of Economics, The RAND Corporation, vol. 18(2), pages 248-254, Summer. [Downloadable!] (restricted)
  5. Kirman, Alan P & Sobel, Matthew J, 1974. "Dynamic Oligopoly with Inventories," Econometrica, Econometric Society, vol. 42(2), pages 279-87, March. [Downloadable!] (restricted)
  6. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June. [Downloadable!] (restricted)
  7. Roy Radner, 1999. "Viscous Demand," Working Papers 99-10, New York University, Leonard N. Stern School of Business, Department of Economics.
  8. Eric Maskin & Jean Tirole, 1985. "A Theory of Dynamic Oligopoly, II: Price Competition," Working papers 373, Massachusetts Institute of Technology (MIT), Department of Economics.
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