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Noncooperative Collusion and Price Wars with Individual Demand Fluctuations

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Author Info
Pot, Erik
Peeters, Ronald
Peters, Hans
Vermeulen, Dries (METEOR)

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Abstract

We analyze whether noncooperative collusive equilibria are harder to sustain when individual demand levels are not fixed but are able to fluctuate. To do this, we extend a Bertrand type model of price competition to allow for fluctuating market shares when prices are equal. We find that, the larger the market share fluctuations may be, the higher the discount factor should be to sustain a collusive equilibrium in trigger strategies. The intuition behind this is fairly straightforward. When individual demand in the collusive state is suddenly low, the gains from collusion go down. Moreover, the firm with the low demand can capture a larger share of the market by deviating from the collusive strategy. The incentive to deviate therefore becomes larger when the individual market share decreases. We also look at the existence of a specific type of semi-collusive equilibrium when individual market shares are either common knowledge or private knowledge. We find that there exist equilibria in which competitive periods (price wars) occur with probability 1 and on the equilibrium path.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 017.

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Date of creation: 2008
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Handle: RePEc:dgr:umamet:2008017

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Keywords: mathematical economics;

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  1. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June. [Downloadable!] (restricted)
  2. Kyle Bagwell, 2004. "Collusion and Price Rigidity," Theory workshop papers 658612000000000081, UCLA Department of Economics. [Downloadable!]
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  3. Kyle Bagwell & Robert Staiger, 1997. "Collusion Over the Business Cycle," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 82-106, Spring. [Downloadable!] (restricted)
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  4. Hendon, Ebbe & Jacobsen, Hans Jorgen & Sloth, Birgitte, 1996. "The One-Shot-Deviation Principle for Sequential Rationality," Games and Economic Behavior, Elsevier, vol. 12(2), pages 274-282, February. [Downloadable!] (restricted)
  5. John Haltiwanger & Joseph E. Harrington Jr., 1991. "The Impact of Cyclical Demand Movements on Collusive Behavior," RAND Journal of Economics, The RAND Corporation, vol. 22(1), pages 89-106, Spring. [Downloadable!] (restricted)
  6. Domowitz, Ian & Hubbard, R Glenn & Petersen, Bruce C, 1987. "Oligopoly Supergames: Some Empirical Evidence on Prices and Margins," Journal of Industrial Economics, Blackwell Publishing, vol. 35(4), pages 379-98, June. [Downloadable!] (restricted)
  7. Leufkens, Kasper & Peeters, Ronald, 2008. "Intertemporal price competition with exogenous demand shocks," Economics Letters, Elsevier, vol. 99(2), pages 301-303, May. [Downloadable!] (restricted)
  8. Glenn Ellison, 1994. "Theories of Cartel Stability and the Joint Executive Committee," RAND Journal of Economics, The RAND Corporation, vol. 25(1), pages 37-57, Spring. [Downloadable!] (restricted)
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