Bertrand Competition with Non-rigid Capacity Constraints

Prabal, Roy Chowdhury (2008): Bertrand Competition with Non-rigid Capacity Constraints. Unpublished.

Abstract

We examine a model of Bertrand competition with non-rigid capacity constraints, so that by incurring an additional cost, firms can produce beyond capacity. We find that there is an interval of prices such that a price can be sustained as a pure strategy Nash equilibrium if and only if it lies in this interval. We then examine the properties of this set as (a) the number of firms becomes large and (b) the capacity cost increases.

• Item Type: MPRA Paper
• Language: English
• Subjects: D - Microeconomics > D5 - General Equilibrium and Disequilibrium; L - Industrial Organization > L2 - Firm Objectives, Organization, and Behavior

References

Allen B., Hellwig, M. Bertrand-Edgeworth oligopoly in large markets. Review of Economic Studies 1986; 53; 175-204.

Boccard, N., Wauthy, X. Bertrand competition and Cournot outcomes: further results. Economics Letters 2000; 68; 279-285.

Boccard, N., Wauthy, X. Bertrand competition and Cournot outcomes: a correction Economics Letters 2004; 84; 163-166.

Chamberlin, E.H. The Theory of Monopolistic Competition. Harvard University Press: Cambridge, Massachusetts; 1933.

Dasgupta, P., Maskin, E. The existence of equilibrium in discontinuous economic games, II: Applications, Review of Economic Studies 1986; 53; 27-41.

Dastidar, K.G. On the existence of pure strategy Bertrand equilibrium. Economic Theory 1995; 5; 19-32.

Dixit, A. The role of investment in entry deterrence. Economic Journal 1980; 90; 95-106.

Kreps, D.M., Scheinkman, J.A. Cournot pre-commitment and Bertrand competition yield Cournot outcomes. Bell Journal of Economics 1983; 14; 326-337.

Maggi, G. Strategic trade policies with endogenous mode of competition. American Economic Review 1996; 86; 237-258.

Novshek, W., Roy Chowdhury, P. Bertrand equilibria with entry: limit results. International Journal of Industrial Organization 2003; 21; 795-808.

Ray Chaudhuri, P. The contestable outcome as a Bertrand equilibrium. Economics Letters 1996; 50; 237-242.

Roy Chowdhury, P., Sengupta K. Coalition-proof Bertrand equlibria. Economic Theory 2004; 24; 307-324.

Vives, X. Rationing rules and Bertrand-Edgeworth equilibria in large markets. Economics Letters 1986; 21; 113-116.

Vives, X. Oligopoly pricing: Old ideas and new tools. MIT Press: Cambridge, Massachusetts, London, England; 1999.