Cournot Equilibrium Uniqueness in Case of Concave Industry Revenue: a Simple Proof

Pierre Mouche () and Federico Quartieri

Economics Bulletin, 2015, vol. 35, issue 2, 1299-1305

Abstract: A simple proof of an equilibrium uniqueness result by Murphy, Sherali and Soyster for homogeneous Cournot oligopolies with concave industry revenue function and convex cost functions is provided. Adapting this proof, a substantial improvement of their result is obtained; the improvement concerns capacity constraints, non-differentiable cost functions and industry revenue functions that are discontinuous at 0.

Keywords: Concave industry revenue; Cournot oligopoly; equilibrium uniqueness (search for similar items in EconPapers)
JEL-codes: C7 (search for similar items in EconPapers)
Date: 2015-06-01
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