Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers
With application of nonlinear theory, this paper makes study on the long-term competition in a recycling price game model by manufacturers and retailers. The paper makes analysis on the local stability of the Nash equilibrium point and gives the corresponding stable region. It has been found that th...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/3157407 |
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| _version_ | 1832567402148134912 |
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| author | Ting Li Dongyun Yan Xiaogang Ma |
| author_facet | Ting Li Dongyun Yan Xiaogang Ma |
| author_sort | Ting Li |
| collection | DOAJ |
| description | With application of nonlinear theory, this paper makes study on the long-term competition in a recycling price game model by manufacturers and retailers. The paper makes analysis on the local stability of the Nash equilibrium point and gives the corresponding stable region. It has been found that the stability of the whole system would be significantly impacted by the following factors which include adjustment speed of the recycling price, the proportion of recycled products by channels, the sensitivity of consumers for the recycling price, and the price cross-elasticity between two channels. By means of the simulation technology, the complexity of the recycling price in the system in the long-term competition has been demonstrated. Owing to the change of parameters, bifurcation, chaos, and other phenomena would appear in the system. When the system is becoming chaotic, the profit of the whole system decreased. All these show that the operational efficiency for the whole system will be impaired by the chaos. Effective chaotic control of the system will be realized by the use of the parameter adaptation method. |
| format | Article |
| id | doaj-art-c45aa38a447040569f14e52e33c53e0d |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c45aa38a447040569f14e52e33c53e0d2025-02-03T01:01:33ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/31574073157407Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and RetailersTing Li0Dongyun Yan1Xiaogang Ma2School of Management, Shandong University, Jinan 250100, ChinaSchool of Economics and Management, Dezhou University, Dezhou 253023, ChinaSchool of Management, Wuhan Textile University, Wuhan 430200, ChinaWith application of nonlinear theory, this paper makes study on the long-term competition in a recycling price game model by manufacturers and retailers. The paper makes analysis on the local stability of the Nash equilibrium point and gives the corresponding stable region. It has been found that the stability of the whole system would be significantly impacted by the following factors which include adjustment speed of the recycling price, the proportion of recycled products by channels, the sensitivity of consumers for the recycling price, and the price cross-elasticity between two channels. By means of the simulation technology, the complexity of the recycling price in the system in the long-term competition has been demonstrated. Owing to the change of parameters, bifurcation, chaos, and other phenomena would appear in the system. When the system is becoming chaotic, the profit of the whole system decreased. All these show that the operational efficiency for the whole system will be impaired by the chaos. Effective chaotic control of the system will be realized by the use of the parameter adaptation method.http://dx.doi.org/10.1155/2019/3157407 |
| spellingShingle | Ting Li Dongyun Yan Xiaogang Ma Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers Complexity |
| title | Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers |
| title_full | Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers |
| title_fullStr | Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers |
| title_full_unstemmed | Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers |
| title_short | Stability Analysis and Chaos Control of Recycling Price Game Model for Manufacturers and Retailers |
| title_sort | stability analysis and chaos control of recycling price game model for manufacturers and retailers |
| url | http://dx.doi.org/10.1155/2019/3157407 |
| work_keys_str_mv | AT tingli stabilityanalysisandchaoscontrolofrecyclingpricegamemodelformanufacturersandretailers AT dongyunyan stabilityanalysisandchaoscontrolofrecyclingpricegamemodelformanufacturersandretailers AT xiaogangma stabilityanalysisandchaoscontrolofrecyclingpricegamemodelformanufacturersandretailers |