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Nash-equilibria in a heterogeneous oligopoly with fuzzy information
Authors:Nils?Hauenschild  author-information"  >  author-information__contact u-icon-before"  >  mailto:hauen@econ.uni-hamburg.de"   title="  hauen@econ.uni-hamburg.de"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Peter?Stahlecker
Affiliation:(1) Institute for Statistics and Econometrics, University of Hamburg, Von-Melle-Park 5, 20146 Hamburg, Germany
Abstract:We consider a model of an oligopolistic market with heterogeneous firms and products where neither the cost nor the demand functions are common knowledge. Instead, each firm only has some vague ideas about the price strategies adopted by its competitors which is modelled by a fuzzy set. In analogy to the notion of an "equilibrium of actions and beliefs" we define and characterize a generalized Nash-equilibrium and show its existence under general conditions. Furthermore, the impact of the fuzzy information on the equilibrium outcome is analyzed by means of a comparative static analysis within a particular model framework.Received: 28 May 2002, Accepted: 25 December 2002, JEL Classification: D43, D80, L13We wish to thank Bernhard F. Arnold, the editor Murat Sertel$^{dagger}$, and two anonymous referees for helpful comments. Of course, we are responsible for all remaining errors.
Keywords:Fuzzy information  heterogeneous products  Nash-equilibrium  oligopoly
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