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Endogenous rationing, price dispersion and collusion in capacity constrained supergames

  • Emmanuel Dechenaux

    ()

  • Dan Kovenock

This paper examines the feasibility of collusion in capacity constrained duopoly supergames. In each period firms simultaneously set a price-quantity pair specifying the price for the period and the maximum quantity the firm is willing to sell as this price. Under price-quantity competition firms are able to ration their output below capacity. For a wide range of capacity pairs, the equilibrium path providing the smaller firm with its highest stationary perfect equilibrium payoff requires that it undercut its rival’s price and ration demand. Furthermore, for some capacities and discount factors supporting security level punishments, price shading and rationing arise everywhere on the set of stationary perfect equilibrium paths yielding (constrained) Pareto optimal payoffs. That is, price shading may not only be consistent with successful collusion, it may be a requirement of successful collusion.

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File URL: http://hdl.handle.net/10.1007/s00199-010-0527-0
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Article provided by Springer in its journal Economic Theory.

Volume (Year): 47 (2011)
Issue (Month): 1 (May)
Pages: 29-74

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Handle: RePEc:spr:joecth:v:47:y:2011:i:1:p:29-74
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  1. Osborne, Martin J. & Pitchik, Carolyn, 1983. "Cartels, Profits, and Excess Capacity," Working Papers 83-09, C.V. Starr Center for Applied Economics, New York University.
  2. 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.
  3. Allen, B. & Deneckere, R. & Faith, T. & Kovenock, D., 1994. "Capacity Precommitment as a Barrier to Entry: A Bertrand-Edgeworth Approach," Purdue University Economics Working Papers 1062, Purdue University, Department of Economics.
  4. Davidson, Carl & Deneckere, Raymond, 1984. "Horizontal mergers and collusive behavior," International Journal of Industrial Organization, Elsevier, vol. 2(2), pages 117-132, June.
  5. Albaek, Svend & Mollgaard, Peter & Overgaard, Per B, 1997. "Government-Assisted Oligopoly Coordination? A Concrete Case," Journal of Industrial Economics, Wiley Blackwell, vol. 45(4), pages 429-43, December.
  6. Brock, William A & Scheinkman, Jose A, 1985. "Price Setting Supergames with Capacity Constraints," Review of Economic Studies, Wiley Blackwell, vol. 52(3), pages 371-82, July.
  7. Dechenaux, Emmanuel & Kovenock, Dan, 2005. "Tacit Collusion and Capacity Withholding in Repeated Uniform Price Auctions," Purdue University Economics Working Papers 1174, Purdue University, Department of Economics.
  8. Sorgard, Lars, 1997. "Erratum to "Judo economics reconsidered: Capacity limitation, entry and collusion" [International journal of industrial organization 15 (1997) 349-368]," International Journal of Industrial Organization, Elsevier, vol. 15(5), pages 635-635, August.
  9. Benoit, Jean-Pierre & Krishna, Vijay, 1987. "Dynamic Duopoly: Prices and Quantities," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 23-35, January.
  10. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
  11. Lambson, Val Eugene, 1995. "Optimal penal codes in nearly symmetric Bertrand supergames with capacity constraints," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 1-22.
  12. Boyer, Marcel & Moreaux, Michel, 1988. "Rational Rationing in Stackelberg Equilibria," The Quarterly Journal of Economics, MIT Press, vol. 103(2), pages 409-14, May.
  13. Allen, Franklin & Faulhaber, Gerald R, 1991. "Rational Rationing," Economica, London School of Economics and Political Science, vol. 58(230), pages 189-98, May.
  14. Boyer, M. & Moreaux, M., 1988. "Endogenous Rationing in a Differentiated Product Duopoly," Cahiers de recherche 8830, Universite de Montreal, Departement de sciences economiques.
  15. Dechenaux, Emmanuel & Kovenock, Dan, 2003. "Endogenous Rationing, Price Dispersion, and Collusion in Capacity Constrained Supergames," Purdue University Economics Working Papers 1164, Purdue University, Department of Economics.
  16. Davidson, Carl & Deneckere, Raymond J, 1990. "Excess Capacity and Collusion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 521-41, August.
  17. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-96, March.
  18. Lambson, Val Eugene, 1987. "Optimal Penal Codes in Price-Setting Supergames with Capacity Constraints," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 385-97, July.
  19. Dixon, Huw David, 1992. "The Competitive Outcome as the Equilibrium in an Edgeworthian Price-Quantity Model," Economic Journal, Royal Economic Society, vol. 102(411), pages 301-09, March.
  20. Natalia Fabra, 2003. "Tacit Collusion in Repeated Auctions: Uniform Versus Discriminatory," Journal of Industrial Economics, Wiley Blackwell, vol. 51(3), pages 271-293, 09.
  21. Sorgard, L., 1995. "Judo Economics Reconsidered: Capacity Limitation, Entry and Collusion," Papers 18/95, Norwegian School of Economics and Business Administration-.
  22. Benoit, Jean-Pierre & Krishna, Vijay, 1991. "Entry deterrence and dynamic competition : The role of capacity reconsidered," International Journal of Industrial Organization, Elsevier, vol. 9(4), pages 477-495, December.
  23. Lambson Val Eugene, 1994. "Some Results on Optimal Penal Codes in Asymmetric Bertrand Supergames," Journal of Economic Theory, Elsevier, vol. 62(2), pages 444-468, April.
  24. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January.
  25. Rees, Ray, 1993. "Collusive Equilibrium in the Great Salt Duopoly," Economic Journal, Royal Economic Society, vol. 103(419), pages 833-48, July.
  26. Rees, Ray, 1993. "Collusive Equilibrium in the Great Salt Duopoly," Munich Reprints in Economics 3413, University of Munich, Department of Economics.
  27. Val Eugene Lambson & J. David Richardson, 1992. "Empirical Evidence for Collusion in the U.S. Auto Market?," NBER Working Papers 4111, National Bureau of Economic Research, Inc.
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