Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality
In this paper, the dynamics of Cournot duopoly game with a generalized bounded rationality is considered. The fractional bounded rationality of the Cournot duopoly game is introduced. The conditions of local stability analysis of equilibrium points of the game are derived. The effect of fractional m...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8903183 |
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| author | A. Al-khedhairi |
| author_facet | A. Al-khedhairi |
| author_sort | A. Al-khedhairi |
| collection | DOAJ |
| description | In this paper, the dynamics of Cournot duopoly game with a generalized bounded rationality is considered. The fractional bounded rationality of the Cournot duopoly game is introduced. The conditions of local stability analysis of equilibrium points of the game are derived. The effect of fractional marginal profit on the game is investigated. The complex dynamics behaviors of the game are discussed by numerical computation when parameters are varied. |
| format | Article |
| id | doaj-art-2f04aa14611942cbba50a0dbfca72442 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-2f04aa14611942cbba50a0dbfca724422025-08-20T02:08:11ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/89031838903183Dynamics of a Cournot Duopoly Game with a Generalized Bounded RationalityA. Al-khedhairi0Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box: 2455, Riyadh 11451, Saudi ArabiaIn this paper, the dynamics of Cournot duopoly game with a generalized bounded rationality is considered. The fractional bounded rationality of the Cournot duopoly game is introduced. The conditions of local stability analysis of equilibrium points of the game are derived. The effect of fractional marginal profit on the game is investigated. The complex dynamics behaviors of the game are discussed by numerical computation when parameters are varied.http://dx.doi.org/10.1155/2020/8903183 |
| spellingShingle | A. Al-khedhairi Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality Complexity |
| title | Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality |
| title_full | Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality |
| title_fullStr | Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality |
| title_full_unstemmed | Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality |
| title_short | Dynamics of a Cournot Duopoly Game with a Generalized Bounded Rationality |
| title_sort | dynamics of a cournot duopoly game with a generalized bounded rationality |
| url | http://dx.doi.org/10.1155/2020/8903183 |
| work_keys_str_mv | AT aalkhedhairi dynamicsofacournotduopolygamewithageneralizedboundedrationality |