The paper provides new conditions for the existence, uniqueness, and symmetry of pure-strategy Nash equilibrium in the classical Cournot duopoly.
Citation: |
[1] |
R. Amir, Cournot oligopoly and the theory of supermodular games, Games and Economic Behavior, 15 (1996), 132-138.
doi: 10.1006/game.1996.0062.![]() ![]() ![]() |
[2] |
R. Amir and V. Lambson, On the effects of entry in Cournot markets, Review of Economic Studies, 67 (2000), 235-254.
doi: 10.1016/S0022-0531(03)00002-4.![]() ![]() ![]() |
[3] |
A. Cournot,
Recherches sur les Principes Mathématiques de la Théorie des Richesses, Hachette Livre, Paris, 1838.
![]() |
[4] |
C. Ewerhart, Cournot games with bi-concave demand, Games and Economic Behavior, 85 (2014), 37-47.
doi: 10.1016/j.geb.2014.01.001.![]() ![]() ![]() |
[5] |
J. W. Friedman,
Oligopoly and the Theory of Games, North-Holland, Amsterdam, 1977.
![]() |
[6] |
G. Gaudet and S. Salant, Uniqueness of Cournot equilibrium: New results from old methods, Review of Economic Studies, 58 (1991), 399-404.
doi: 10.2307/2297975.![]() ![]() ![]() |
[7] |
C. Kolstad and L. Mathiesen, Necessary and sufficient conditions for uniqueness of a Cournot equilibrium, Review of Economic Studies, 54 (1987), 681-690.
doi: 10.2307/2297489.![]() ![]() ![]() |
[8] |
M. McManus, Equilibrium, number and size in Cournot oligopoly, Yorkshire Bulletin of Economic and Social Research, 16 (1964), 68-75.
doi: 10.1111/j.1467-8586.1964.tb00517.x.![]() ![]() |
[9] |
D. Monderer and L.S. Shapley, Potential games, Games and Economic Behavior, 14 (1996), 124-143.
doi: 10.1006/game.1996.0044.![]() ![]() ![]() |
[10] |
W. Novshek, On the existence of Cournot equilibrium, Review of Economic Studies, 52 (1985), 85-98.
doi: 10.2307/2297471.![]() ![]() ![]() |
[11] |
J. Roberts and H. Sonnenschein, On the existence of Cournot equilibrium without concave profit functions, Journal of Economic Theory, 13 (1976), 85-98.
doi: 10.1016/0022-0531(76)90069-7.![]() ![]() ![]() |
[12] |
F. Szidarovszky and S. Yakowitz, On the existence of Cournot equilibrium, International Economic Review, 18 (1977), 787-789.
doi: 10.2307/2525963.![]() ![]() ![]() |
[13] |
A. Tarski, A lattice-theoretic fixed point theorem and its applications, Pacific Journal of Mathematics, 5 (1955), 285-309.
doi: 10.2140/pjm.1955.5.285.![]() ![]() ![]() |
[14] |
D. Topkis,
Submodularity and Complementarity, Princeton University Press, Princeton, NJ., 1998.
![]() ![]() |
[15] |
X. Vives,
Oligopoly Pricing: Old Ideas and New Tools, MIT Press, Cambridge, MA., 1999.
![]() |