Research on bifurcation and chaos in a dynamic mixed game system with oligopolies under carbon emission constraint. (English) Zbl 1415.91197
Summary: This paper establishes an oligopolistic game model under the carbon emission reduction constraint and investigates its complex characteristics like bifurcation and chaos. Two oligopolistic manufacturers comprise three mixed game models, aiming to explore the variation in the status of operating system as per the upgrading of benchmark reward-penalty mechanism. Firstly, we set up these basic models that are respectively distinguished with carbon emission quantity and study these models using different game methods. Then, we concentrate on one typical game model to further study the dynamic complexity of variations in the system status, through 2D bifurcation diagrams and 4D parameter adjustment features based on the bounded rationality scheme for price, and the adaptive scheme for carbon emission. The results show that the carbon emission constraint has significant influence on the status variation of two-oligopolistic game operating systems no matter whether it is stable or chaotic. Besides, the new carbon emission regulation meets government supervision target and achieves the goal of being environment friendly by motivating the system to operate with lower carbon emission.
MSC:
| 91B54 | Special types of economic markets (including Cournot, Bertrand) |
| 91A25 | Dynamic games |
| 91B76 | Environmental economics (natural resource models, harvesting, pollution, etc.) |
| 37G10 | Bifurcations of singular points in dynamical systems |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
References:
| [1] | Ageron, B., Gunasekaran, A. & Spalanzani, A. [2012] “ Sustainable supply management: An empirical study,” Int. J. Product. Econ.140, 168-182. |
| [2] | Brandenburg, M., Govindan, K., Sarkis, J. & Seuring, S. [2014] “ Quantitative models for sustainable supply chain management: Developments and directions,” Eur. J. Operat. Res.233, 229-312. · Zbl 1305.90002 |
| [3] | Chaabane, A., Ramudhin, A. & Paquet, M. [2012] “ Design of sustainable supply chains under the emission trading scheme,” Int. J. Product. Econ.135, 37-49. |
| [4] | Chen, G. R., Kudryashoa, E. V. & Kuznetsov, N. V. [2016] “ Dynamics of the Zeraoulia-Sprott map revisited,” Int. J. Bifurcation and Chaos26, 1650126-1-7. · Zbl 1343.37018 |
| [5] | Eskandarpour, M., Dejax, P., Miemczyk, J. & Peton, O. [2015] “ Sustainable supply chain network design: An optimization-oriented review,” Omega54, 11-32. |
| [6] | Guo, Z. B. & Ma, J. H. [2016] “ The influence of information acquisition on the complex dynamics of market competition,” Int. J. Bifurcation and Chaos26, 1650008-1-13. · Zbl 1334.91018 |
| [7] | He, W. L., Chen, G. R., Han, Q. L. & Qian, F. [2017] “ Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control,” Inform. Sci.380, 145-158. · Zbl 1429.68027 |
| [8] | Hoen, K., Tan, T., Fransoo, J. & Van Houtum, G. [2014] “ Effect of carbon emission regulations on transport mode selection under stochastic demand,” Flexible Serv. Manuf. J.26, 170-195. |
| [9] | Li, X. & Wu, R. C. [2014] “ Hopf bifurcation analysis of a new commensurate fractional-order hyperchaotic system,” Nonlin. Dyn.73, 279-288. · Zbl 1314.34081 |
| [10] | Li, J. B., Zhu, W. J. & Chen, G. R. [2016] “ Understanding peakons, perodic peakons and compactons via a shallow water wave equation,” Int. J. Bifurcation and Chaos26, 1650207-1-27. · Zbl 1352.34054 |
| [11] | Lin, Q., Wu, X. F. & Chen, Y. [2015] “ Frequency-domain criterion for the chaos synchronization of time-delay power systems under linear feedback control,” Pramana6, 1-12. |
| [12] | Ma, J. H. & Chen, Y. S. [2001a] “ Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system (I),” Appl. Math. Mech.22, 1240-1251. · Zbl 1001.91501 |
| [13] | Ma, J. H. & Chen, Y. S. [2001b] “ Study for the bifurcation topological structure and the global complicated character of a kind of nonlinear finance system (II),” Appl. Math. Mech.22, 1375-1382. · Zbl 1143.91341 |
| [14] | Ma, J. H. & Xie, L. [2016] “ The comparison and complex analysis on dual-channel supply chain under different channel power structures and uncertain demand,” Nonlin. Dyn.83, 1379-1393. · Zbl 1351.90029 |
| [15] | Ozkir, V. & Basligil, H. [2013] “ Multi-objective optimization of closed-loop supply chains in uncertain environment,” J. Clean. Prod.41, 114-125. |
| [16] | Ren, J., Bian, Y., Xu, X. & He, P. [2015] “ Allocation of product-related carbon emission abatement target in a make-to-order supply chain,” Comput. Industr. Engin.80, 181-194. |
| [17] | Sovacool, B. K. [2011] “ The policy challenges of tradable credits: A critical review of eight markets,” Energ. Policy39, 575-585. |
| [18] | Sun, L. J. & Ma, J. H. [2016] “ Study and simulation on dynamics of a risk-averse supply chain pricing model with dull-channel and incomplete information,” Int. J. Bifurcation and Chaos26, 1650146-1-18. · Zbl 1347.91148 |
| [19] | Talaei, M., Moghaddam, B. F., Mir Pishvaee, S., Ali, B. A. & Gholamnejad, S. [2016] “ A robust fuzzy optimization model for carbon-efficient closed-loop supply chain network design problem: A numerical illustration in electronics industry,” J. Clean. Prod.13, 662-673. |
| [20] | Tseng, S. C. & Hung, S. W. [2014] “ A strategic decision-making model considering the social costs of carbon dioxide emissions for sustainable supply chain management,” J. Environ. Manag.133, 315-322. |
| [21] | Wang, J. Z., Chen, Z. Q., Chen, G. R. & Yuan, Z. Z. [2008] “ A novel hyperchaotic system and its complex dynamics,” Int. J. Bifurcation and Chaos18, 3309-3324. · Zbl 1165.34355 |
| [22] | Wu, X. F., Chen, G. R. & Cai, J. P. [2007] “ Chaos synchronization of the master-slave generalized Lorenz system via linear state error feedback control,” Physica D229, 52-80. · Zbl 1131.34040 |
| [23] | Zetterberg, L., Wrake, M., Sterner, T., Fischer, C. & Burtraw, D. [2012] “ Short-run allocation of emissions allowances and long-term goals for climate policy,” Ambio42, 23-32. |
| [24] | Zhang, Q., Shah, N., Wassick, J., Helling, R. & Van Egerschot, P. [2014] “ Sustainable supply chain optimisation: An industrial case study,” Comput. Industr. Engin.74, 68-83. |
| [25] | Zhang, Z. X. [2015] “ Carbon emissions trading in China: The evolution from pilots to a nationwide scheme,” Climat. Policy15, 104-126. |
| [26] | Zhou, L. L., Chen, Z. Q., Wang, J. Z. & Zhang, Q. [2017] “ Local bifurcation analysis and global dynamics estimation of a novel 4-dimensional hyperchaotic system,” Int. J. Bifurcation and Chaos27, 1750021-1-20. · Zbl 1362.34070 |
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