Comparative statics, strategic complements and substitutes in oligopolies
type: Item
instance of: scholarly article
title: Comparative statics, strategic complements and substitutes in oligopolies
zbMATH Open document ID: 1107.91038
DOI: 10.1016/S0304-4068(03)00086-7
author: Fernando Bernstein
author: Awi Federgruen
published in: Journal of Mathematical Economics
publication date: 2005-02-09T00:00:00Z
review text: The common framework to analyze oligopolistic markets is non-cooperative game theory. Many fundamental questions in oligopoly models reduce to the investigation of monotonicity properties of various performance measures under the model's Nash equilibrium, with respect to specific exogenously specified parameters. In the paper, Bertrand and Cournot oligopoly models with a general nonlinear cost function and general dependencies of the cost and demand function are considered. The authors establish some first- and second-order monotonicity properties with respect to equilibrium prices, quantities, profit margins, and profits. Their results generalize the results of \textit{A. Dixit} [Int. Econ. Rev. 27, 107--122 (1986; Zbl 0584.90012)] and a variety of monotonicity results existing in the literature.
reviewed by: Małgorzata Doman
Mathematics Subject Classification ID: 91B26
Mathematics Subject Classification ID: 91A80
Mathematics Subject Classification ID: 91A10
zbMATH DE Number: 2132926
zbMATH Keywords: oligopolies
zbMATH Keywords: comparative statics
zbMATH Keywords: supermodular games
zbMATH Keywords: Nash equilibrium
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2132926