Uniqueness and characterization of capacity constrained Cournot–Nash equilibrium

Uniqueness and characterization of capacity constrained Cournot–Nash equilibrium

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Article ID: iaor2009877
Country: Netherlands
Volume: 36
Issue: 2
Start Page Number: 168
End Page Number: 172
Publication Date: Mar 2008
Journal: Operations Research Letters
Authors: ,
Abstract:

We add capacity constraints to a multi-market Cournot model in which asymmetric firms have linear demand functions. We show that the problem is equivalent to maximizing a concave objective function over a convex region which ensures the existence of a unique capacity constrained Cournot–Nash equilibrium.

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