Econometrica: May 1985, Volume 53, Issue 3

Existence of Cournot Equilibrium in Large Markets

https://doi.org/0012-9682(198505)53:3<587:EOCEIL>2.0.CO;2-Q
p. 587-598

Jean Fraysse, Rodrigo Bamon

This paper examines the existence conditions of an oligopolistic equilibrium. We use the Cournot concept (the strategies are the production levels) in a partial equilibrium framework. We allow for U-shaped average cost curves and nonidentical firms. We show that an equilibrium exists if the demand is large. The main part of the proof is a new fixed point theorem for a class of noncontinuous mappings.

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