Profits in pure Bertrand oligopolies
AbstractThis paper demonstrates that the Bertrand paradox does not hold if cost functions are strictly convex. Instead, multiple equilibria exist which can be Pareto-ranked. The paper shows that the Pareto-dominant equilibrium may imply profus higher than in Cournot competition or may even sustain perfect cartelization. The potential scope for implicit collusion is discussed for the case that the Pareto-dominant noncooperative equilibrium does not support perfect cartelization. Due to multiple non-cooperative equilibria, the discussion involves finitely repeated Bertrand games as well. The paper discusses several strategies which may support implicit collusion. 1t develops the notion of punishment-proofness, and it demonstrates that strongly renegotiationproof equilibria exist for sujficiently high discount factors. Finally, extensions are discussed which cover Stackeiberg leadership, fixed and sunk costs and endogenous market structures.
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Bibliographic InfoPaper provided by Kiel Institute for the World Economy in its series Kiel Working Papers with number 703.
Date of creation: 1995
Date of revision:
Bertrand competition; Bertrand paradox; implicit collusion; renegotiationproofness; punishment-proofness;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
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- Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
- Farrell, Joseph & Maskin, Eric, 1989.
"Renegotiation in repeated games,"
Games and Economic Behavior,
Elsevier, vol. 1(4), pages 327-360, December.
- Farrell, Joseph & Maskin, Eric, 1987. "Renegotiation in Repeated Games," Department of Economics, Working Paper Series qt9wv3h5jb, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
- Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
- Grossman, Sanford J, 1981. "Nash Equilibrium and the Industrial Organization of Markets with Large Fixed Costs," Econometrica, Econometric Society, vol. 49(5), pages 1149-72, September.
- Friedman, James W. & Thisse, Jacques-Francis, 1994.
"Sustainable collusion in oligopoly with free entry,"
European Economic Review,
Elsevier, vol. 38(2), pages 271-283, February.
- Friedman, J. & Thisse, J.F., 1992. "Sustainable Collusion in Oligopoly with Free Entry," Papiers d'Economie MathÃÂ©matique et Applications 92-18, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
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