Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-28T07:16:36.723Z Has data issue: false hasContentIssue false

Oligopoly Equilibria “à la Stackelberg” in Pure Exchange Economies1

Published online by Cambridge University Press:  17 August 2016

Get access

Summary

This paper introduces two equilibrium concepts which extend the notion of Stackelberg competition to cover a general equilibrium framework. From the benchmarks of Cournot-Walras economies and of strategic market games, the introduction of an active leader modifies the working of market power and the configuration of strategic interactions. In the context of a simple pure exchange economy, asymptotic identification and welfare results are thus obtained, about Stackelberg general equilibria, compared to Cournot general equilibria and to the competitive equilibrium.

Résumé

Résumé

Cet article propose une transposition de la concurrence à la Stackelberg dans un contexte d'équilibre général. Deux nouveaux concepts d'équilibre général stratégique sont proposés : l'équilibre de Stackelberg-Walras et l'équilibre de Stackelberg-Cournot. Ces deux concepts d'équilibre sont définis de manière générale dans le contexte d'une économie d'échange pur. L'introduction d'un leader complexifie la nature des interactions stratégiques à l'oeuvre. Elle affecte aussi les manifestations et les conséquences du pouvoir de marché. Ces deux concepts d'équilibre sont ensuite caractérisés dans le contexte d'un exemple, et des comparaisons en termes de bien-être sont effectuées avec d'autres concepts d'équilibre général stratégique.

Type
Research Article
Copyright
Copyright © Université catholique de Louvain, Institut de recherches économiques et sociales 2010 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

EconomiX, University Paris Ouest-Nanterre La Defense, Bureau K116, 200, avenue de la Republique, 92001 Nanterre Cedex, [email protected], [email protected]

1

A first version of this paper was presented at the conference "Economics of information" that held at the University of Paris X in June 2007. We acknowledge R. Breton, B. Crettez and P. A. Jouvet for their remarks. We are especially grateful to an anonymous referee whom suggestions improved the quality of the paper.

References

Amir, R., Grilo, I. (1999), “Stackelberg versus Cournot equilibrium”, Games and Economic Behavior, 36, pp. 121.Google Scholar
Amir, R., Sahi, S., Shubik, M and Yao, S. (1990), “A strategic market game with complete markets”, Journal of Economic Theory, 54, pp. 126143.Google Scholar
Anderson, S.P., and Engers, M. (1992), “Stackelberg versus Cournot equilibrium”, International Journal of Industrial Organization, 10, pp. 127135.Google Scholar
D’Aspremont, C, Dos Santos Ferreira, R. and Gérard-Varet, L.A. (1997), “General equilibrium concepts under imperfect competition: a Cournotian approach”, Journal of Economic Theory, 173, pp. 199230.Google Scholar
Bonnisseau, J.M., and Florig, M. (2003), “Oligopoly equilibria in large, but finite, linear exchange economies”, Economic Theory, 22, p. 727741.Google Scholar
Busetto, F., Codognato, G. and Ghosal, S. (2008), “Cournot-Walras equilibrium as a subgame perfect equilibrium”, International Journal of Game Theory, 37, pp. 371386.Google Scholar
Codognato, G., and Gabszewicz, J.J. (1993), “Cournot-Walras equilibria in markets with a continuum of traders”, Economic Theory, 3, pp. 453464.Google Scholar
Codognato, G., Gabszewicz, J.J. (1991),“Equilibres de Cournot-Walras dans une économie d’échange pure”, Revue Economique, 42, pp. 10131026.Google Scholar
Codognato, G., Ghosal, S. (2000), “Cournot-Nash equilibria in limit exchange economies with complete markets and consistent prices”, Journal of Mathematical Economics, 34, pp. 3953.Google Scholar
Cordelia, T. and Gabszewicz, J.J. (1998), “Nice trivial equilibria in strategic market games”, Games and Economic Behavior, 22, pp. 162169.Google Scholar
Friedman, J. (1993), “Oligopoly theory”, in Arrow, K.J. and Intriligator, M.D. (Eds), Handbook of Mathematical Economics, Elsevier, chapter 11, Volume 2, pp. 491534.Google Scholar
Fudenberg, D., Tiróle, J. (1991), Game theory, MIT Press.Google Scholar
Gabszewicz, J.J. (2006), “Oligopoly equilibrium in pure exchange economies”, Games theory and Mathematical Economics, 71, pp. 125135.Google Scholar
Gabszewicz, J.J. (2002), Strategic multilateral exchange, general equilibrium with imperfect competition, Edward-Elgar, Cheltenham.Google Scholar
Gabszewicz, J.J., Michel, P. (1997), “Oligopoly equilibria in exchange economies”, in Eaton, B.C. and Harris, R.G. (Eds), Trade, Technology and Economics. Essays in Honour of Lipsey, R.G., Edward-Elgar, Cheltenham, pp. 217240.Google Scholar
Gabszewicz, J.J., Vial, J.P. (1972), “Oligopoly ‘à la Cournot’ in a general equilibrium analysis”, Journal of Economic Theory, 4, pp. 381400.Google Scholar
Giraud, G. (2003), “Strategic market games: an introduction”, Journal of Mathematical Economics, 39, pp. 355375.Google Scholar
Kreps, D. (1990), Game theory and economic modelling, Clarendon Lectures in Economics.Google Scholar
Sahi, S., Yao, S. (1989), “The non cooperative equilibria of a trading economy with complete markets and consistent prices”, Journal of Mathematical Economics, 18, pp. 325346.Google Scholar
Shapley, L., Shubik, M. (1977), “Trade using one commodity as a means of payment”, Journal of Political Economy, 85, pp. 937967.Google Scholar
Von Stackelberg, H. (1934), Marktform und Gleichgewicht, Berlin & Vienna, Springer.Google Scholar
Tiróle, J. (1988), Theory of industrial organization, MIT Press.Google Scholar
Vives, X. (1999), Oligopoly pricing: olds ideas, new tools, MIT Press.Google Scholar