Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality
A Cournot-Bertrand mixed duopoly game model is constructed. The existence and local stable region of the Nash equilibria point are investigated. Complex dynamic properties such as bifurcation and route to chaos are analyzed using parameter basin plots. The strange attractors are also studied when t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/251702 |
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| _version_ | 1832546562881880064 |
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| author | Junhai Ma Hongwu Wang |
| author_facet | Junhai Ma Hongwu Wang |
| author_sort | Junhai Ma |
| collection | DOAJ |
| description | A Cournot-Bertrand mixed duopoly game model is constructed.
The existence and local stable region of the Nash equilibria point are
investigated. Complex dynamic properties such as bifurcation and route to
chaos are analyzed using parameter basin plots. The strange attractors are
also studied when the system is in chaotic states. Furthermore, considering
the memory of the market, a delayed Cournot-Bertrand mixed model
is considered and the results show that the delayed system has the same
Nash equilibrium and has a higher chance of reaching steady states or cycles
than the model without delay. So making full use of the historical data can
improve the system’s stability. |
| format | Article |
| id | doaj-art-de2c89feacdb40b4b6e5847fa03055e9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-de2c89feacdb40b4b6e5847fa03055e92025-02-03T06:48:06ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/251702251702Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded RationalityJunhai Ma0Hongwu Wang1School of Management, Tianjin University, Tianjin 300072, ChinaSchool of Management, Tianjin University, Tianjin 300072, ChinaA Cournot-Bertrand mixed duopoly game model is constructed. The existence and local stable region of the Nash equilibria point are investigated. Complex dynamic properties such as bifurcation and route to chaos are analyzed using parameter basin plots. The strange attractors are also studied when the system is in chaotic states. Furthermore, considering the memory of the market, a delayed Cournot-Bertrand mixed model is considered and the results show that the delayed system has the same Nash equilibrium and has a higher chance of reaching steady states or cycles than the model without delay. So making full use of the historical data can improve the system’s stability.http://dx.doi.org/10.1155/2013/251702 |
| spellingShingle | Junhai Ma Hongwu Wang Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality Abstract and Applied Analysis |
| title | Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality |
| title_full | Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality |
| title_fullStr | Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality |
| title_full_unstemmed | Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality |
| title_short | Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality |
| title_sort | complex dynamics analysis for a cournot bertrand mixed game model with delayed bounded rationality |
| url | http://dx.doi.org/10.1155/2013/251702 |
| work_keys_str_mv | AT junhaima complexdynamicsanalysisforacournotbertrandmixedgamemodelwithdelayedboundedrationality AT hongwuwang complexdynamicsanalysisforacournotbertrandmixedgamemodelwithdelayedboundedrationality |