TEL  Vol.2 No.1 , February 2012
Stackelberg-Walras and Cournot-Walras Equilibria in Mixed Markets: A Comparison
ABSTRACT
In this note, we compare two strategic general equilibrium concepts: the Stackelberg-Walras equilibrium and the Cournot-Walras equilibrium. We thus consider a market exchange economy embodying atoms and a continuum of traders. It is shown that, when the preferences of the small traders are represented by Cobb-Douglas utility functions, the Stackel-berg-Walras and the Cournot-Walras equilibria can coincide only if 1) the endowments and preferences of atoms are identical and 2) the elasticity of the followers’ best response functions are equal to zero in equilibrium.

Cite this paper
L. Julien, "Stackelberg-Walras and Cournot-Walras Equilibria in Mixed Markets: A Comparison," Theoretical Economics Letters, Vol. 2 No. 1, 2012, pp. 69-74. doi: 10.4236/tel.2012.21013.
References
[1]   J. J. Gabszewicz and J. P. Vial, “Oligopoly ‘à la Cournot’ in General Equilibrium Analysis,” Journal of Economic Theory, Vol. 4, No. 3, 1972, pp. 381-400. doi:10.1016/0022-0531(72)90129-9

[2]   G. Codognato and J. J. Gabszewicz, “Equilibres de Cournot-Walras dans une économie D’échange,” Revue Economique, Vol. 42, No. 6, 1991, pp. 1013-1026. doi:10.2307/3502021

[3]   G. Codognato and J. J. Gabszewicz, “Cournot-Walras equilibria in Markets with a Continuum of Traders,” Economic Theory, Vol. 3, No. 3, 1993, pp. 453-464. doi:10.1007/BF01209696

[4]   J. J. Gabszewicz and P. Michel, “Oligopoly Equilibria in Exchange Economies,” In: B. C. Eaton and R. G. Harris, Eds., Trade, Technology and Economics. Essays in Honour of R.G. Lipsey, Edward-Elgar, Cheltenham, 1997, pp. 217-240.

[5]   F. Busetto, G. Codognato and S. Ghosal, “Noncooperative Oligopoly in Markets with a Continuum of Traders,” Games and Economic Behavior, Vol. 72, No. 1, 2011, pp. 38-45. doi:10.1016/j.geb.2010.06.009

[6]   F. Busetto, G. Codognato and S. Ghosal, “Cournot-Walras Equilibrium as a Subgame Perfect Equilibrium,” International Journal of Game Theory, Vol. 37, No. 3, 2008, pp. 371-386. doi:10.1007/s00182-008-0123-8

[7]   G. Codognato, “Cournot-Walras Equilibria in Mixed Markets: A Comparison,” Economic Theory, Vol. 5, No. 2, 1995, pp. 361-370. doi:10.1007/BF01215210

[8]   G. Codognato, “Cournot-Nash Equilibria in Limit Exchange Economies with Complete Markets: A Comparison between Two Models,” Games and Economic Behavior, Vol. 31, No. 1, 2000, pp. 136-146. doi:10.1006/game.1999.0735

[9]   L. A. Julien and F. Tricou, “Oligopoly Equilibria ‘à la Stackelberg’ in Pure Exchange Economies,” Louvain Economic Review, Vol. 76, No. 2, 2010, pp. 175-194.

[10]   B. Shitovitz, “Oligopoly in Markets with a Continuum of Traders,” Econometrica, Vol. 41, No. 3, 1973, pp. 467- 501. doi:10.2307/1913371

[11]   L. A. Julien, “A note on Stackelberg Competition,” Journal of Economics, Vol. 103, No. 2, 2011, pp. 171-187. doi:10.1007/s00712-010-0187-3

 
 
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