Differentiable comparative statics with payoff functions not differentiable everywhere

Author: Luis C. Corchón
Publisher: Elsevier BV

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In this note we consider Cournot oligopoly. Due to the consideration of several consumers and/ or technologies, the profit function is not differentiable everywhere. We show that Cournot equilibrium never occurs in outputs where profit functions are not-differentiable. This result validates the procedure of differentiating profit functions to perform comparative statics in models where profit functions are not differentiable everywhere.Publicad

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