Acknowledgements: The authors are indebted to an anonymous referee for insightful suggestions that greatly improved the presentation of our results. These suggestions helped us both to better position our work in the general context, and to provide a sharper insight into the source of non-existence of a Bayesian Cournot equilibrium in the examples presented in Section 3.The authors also gratefully acknowledge …nancial support of the Spanish Ministry of Education, grant SEJ2007-67436.
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Hitotsubashi Universiry Economics Discussion Paper Series No. 2008-11
AbstractWe show that when …rms have incomplete information about the market demand and their costs, a (Bayesian) Cournot equilibrium in pure strategies may not exist, or be unique. In fact, we are able to construct surprisingly simple and robust examples of duopolies with these features. However, we also …nd some su¢ cient conditions for existence, and for uniqueness, of Cournot equilibrium in a certain class of industries.More general results arise when negative prices are possible.