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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS.2005.119 |
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| _version_ | 1832556090669137920 |
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| author | Akio Matsumoto Mami Suzuki |
| author_facet | Akio Matsumoto Mami Suzuki |
| author_sort | Akio Matsumoto |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-cc6c80a2cae0462698b5dc318a3de074 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-cc6c80a2cae0462698b5dc318a3de0742025-02-03T05:46:21ZengWileyDiscrete 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 |
| spellingShingle | Akio Matsumoto Mami Suzuki Analytic solutions of nonlinear Cournot duopoly game Discrete Dynamics in Nature and Society |
| title | 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_short | Analytic solutions of nonlinear Cournot duopoly game |
| title_sort | analytic solutions of nonlinear cournot duopoly game |
| url | http://dx.doi.org/10.1155/DDNS.2005.119 |
| work_keys_str_mv | AT akiomatsumoto analyticsolutionsofnonlinearcournotduopolygame AT mamisuzuki analyticsolutionsofnonlinearcournotduopolygame |