Analytic solutions of nonlinear Cournot duopoly game

Analytic solutions of nonlinear Cournot duopoly game

We construct a Cournot duopoly model with production externality in which reaction functions are unimodal. We consider the case of a Cournot model which has a stable equilibrium point. Then we show the existence of analytic solutions of the model. Moreover, we seek general solutions of the model in...

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Main Authors: Akio Matsumoto, Mami Suzuki
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS.2005.119
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spelling doaj-cc6c80a2cae0462698b5dc318a3de0742020-11-24T22:08:10ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2005-01-012005211913310.1155/DDNS.2005.119Analytic solutions of nonlinear Cournot duopoly gameAkio Matsumoto0Mami Suzuki1Department of Economics, Chuo University, 742-1 Higashinakano, Hachiojishi, Tokyo 192-0393, JapanDepartment of Management Informatics, Aichi Gakusen University, 1 Shiotori, Oike-cho, Toyota 474-8532, JapanWe construct a Cournot duopoly model with production externality in which reaction functions are unimodal. We consider the case of a Cournot model which has a stable equilibrium point. Then we show the existence of analytic solutions of the model. Moreover, we seek general solutions of the model in the form of nonlinear second-order difference equation.http://dx.doi.org/10.1155/DDNS.2005.119
collection DOAJ
language English
format Article
sources DOAJ
author Akio Matsumoto
Mami Suzuki
spellingShingle Akio Matsumoto
Mami Suzuki
Analytic solutions of nonlinear Cournot duopoly game
Discrete Dynamics in Nature and Society
author_facet Akio Matsumoto
Mami Suzuki
author_sort Akio Matsumoto
title Analytic solutions of nonlinear Cournot duopoly game
title_short Analytic solutions of nonlinear Cournot duopoly game
title_full Analytic solutions of nonlinear Cournot duopoly game
title_fullStr Analytic solutions of nonlinear Cournot duopoly game
title_full_unstemmed Analytic solutions of nonlinear Cournot duopoly game
title_sort analytic solutions of nonlinear cournot duopoly game
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2005-01-01
description We construct a Cournot duopoly model with production externality in which reaction functions are unimodal. We consider the case of a Cournot model which has a stable equilibrium point. Then we show the existence of analytic solutions of the model. Moreover, we seek general solutions of the model in the form of nonlinear second-order difference equation.
url http://dx.doi.org/10.1155/DDNS.2005.119
work_keys_str_mv AT akiomatsumoto analyticsolutionsofnonlinearcournotduopolygame
AT mamisuzuki analyticsolutionsofnonlinearcournotduopolygame
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