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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title Cournot games with biconcave demand
Organization Unit
Authors
  • Christian Ewerhart
Language
  • English
Institution University of Zurich
Series Name Working paper series / Department of Economics
Number 16
ISSN 1664-7041
Number of Pages 25
Date 2014
Abstract Text Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous firms. The analysis leads to unified conditions, respectively, for the existence of a pure-strategy equilibrium via nonincreasing best-response selections, for existence via quasiconcavity, and for uniqueness of the equilibrium. The usefulness of the generalizations is illustrated in cases where inverse demand is either "nearly linear" or isoelastic. It is also shown that commonly made assumptions regarding large outputs are often redundant.
Official URL http://www.econ.uzh.ch/static/wp/econwp016.pdf
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Keywords Cournot games, existence and uniqueness of a pure-strategy Nash equilibrium, generalized concavity, supermodularity, Cournotsches Dyopol, Gleichgewicht, Spieltheorie, Oligopol, Oligopoltheorie
Additional Information Revised version