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Complexity analysis of a decision-making game concerning governments and heterogeneous agricultural enterprises with bounded rationality

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  • Xi, Xuan
  • Zhang, Jixiang

Abstract

Government subsidy intensity, nitrogen emission reductions, and pricing decisions in a Bertrand agricultural products supply chain system were investigated. This paper presents the results of a decision-making competition game model involving governments and heterogeneous agricultural enterprises based on bounded rationality. The impact of government on the emission reduction behavior of agricultural enterprises was evaluated. The study revealed that the speed of price adjustment and subsidy intensity may alter the system stability and lead to chaos, with the price adjustment speed having a more sensitive influence on the system than the subsidy intensity adjustment speed. In addition, certain parameters (pe and r0) affected the system stability, decision variables, and the profits made by government and agricultural enterprises. When the parameters became harmful to enterprises and governments, the system fell into chaos and the stable region increased in the direction of the subsidy intensity adjustment speed. Finally, the chaos in the agricultural supply chain was successfully controlled by the delayed feedback control method.

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  • Xi, Xuan & Zhang, Jixiang, 2020. "Complexity analysis of a decision-making game concerning governments and heterogeneous agricultural enterprises with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306160
    DOI: 10.1016/j.chaos.2020.110220
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    1. Agiza, H.N. & Elsadany, A.A., 2003. "Nonlinear dynamics in the Cournot duopoly game with heterogeneous players," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 512-524.
    2. Chen, Fang & Ma, Jun Hai & Chen, Xiao Qiang, 2009. "The study of dynamic process of the triopoly games in chinese 3G telecommunication market," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1542-1551.
    3. Fan, Ruguo & Dong, Lili, 2018. "The dynamic analysis and simulation of government subsidy strategies in low-carbon diffusion considering the behavior of heterogeneous agents," Energy Policy, Elsevier, vol. 117(C), pages 252-262.
    4. LiuWei Zhao, 2017. "Nonlinear Complex Dynamics of Carbon Emission Reduction Cournot Game with Bounded Rationality," Complexity, Hindawi, vol. 2017, pages 1-10, October.
    5. Junhai Ma & Wandong Lou & Yi Tian, 2019. "Bullwhip effect and complexity analysis in a multi-channel supply chain considering price game with discount sensitivity," International Journal of Production Research, Taylor & Francis Journals, vol. 57(17), pages 5432-5452, September.
    6. Abbink, Klaus & Brandts, Jordi, 2008. "24. Pricing in Bertrand competition with increasing marginal costs," Games and Economic Behavior, Elsevier, vol. 63(1), pages 1-31, May.
    7. Hong, Junhee & Koo, Yoonmo & Jeong, Gicheol & Lee, Jongsu, 2012. "Ex-ante evaluation of profitability and government's subsidy policy on vehicle-to-grid system," Energy Policy, Elsevier, vol. 42(C), pages 95-104.
    8. Toshimitsu, Tsuyoshi, 2010. "On the paradoxical case of a consumer-based environmental subsidy policy," Economic Modelling, Elsevier, vol. 27(1), pages 159-164, January.
    9. Zhang, Jixiang & Da, Qingli & Wang, Yanhua, 2009. "The dynamics of Bertrand model with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2048-2055.
    10. Li, Yaguang & Sun, Chunhua & Ling, Haifeng & Lu, An & Liu, Yezheng, 2020. "Oligopolies price game in fractional order system," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    11. Ge, Jiali & Fu, Yang & Xie, Rui & Liu, Yu & Mo, Wenyang, 2018. "The effect of GVC embeddedness on productivity improvement: From the perspective of R&D and government subsidy," Technological Forecasting and Social Change, Elsevier, vol. 135(C), pages 22-31.
    12. Yang, Lei & Zhang, Qin & Ji, Jingna, 2017. "Pricing and carbon emission reduction decisions in supply chains with vertical and horizontal cooperation," International Journal of Production Economics, Elsevier, vol. 191(C), pages 286-297.
    13. Xiao, Yue & Peng, Yu & Lu, Qian & Wu, Xue, 2018. "Chaotic dynamics in nonlinear duopoly Stackelberg game with heterogeneous players," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1980-1987.
    14. Chen, Xu & Wang, Xiaojun & Chan, Hing Kai, 2017. "Manufacturer and retailer coordination for environmental and economic competitiveness: A power perspective," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 268-281.
    15. Line B. Hansen & Mette Termansen & Berit Hasler, 2019. "The Potential for Nitrogen Abatement Trading in Agriculture: A Hypothetical Market Experiment," Journal of Agricultural Economics, Wiley Blackwell, vol. 70(3), pages 812-839, September.
    16. Agiza, H.N. & Hegazi, A.S. & Elsadany, A.A., 2002. "Complex dynamics and synchronization of a duopoly game with bounded rationality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(2), pages 133-146.
    17. Ji, Shou-feng & Zhao, Dan & Luo, Rong-juan, 2019. "Evolutionary game analysis on local governments and manufacturers' behavioral strategies: Impact of phasing out subsidies for new energy vehicles," Energy, Elsevier, vol. 189(C).
    18. Plambeck, Erica L., 2012. "Reducing greenhouse gas emissions through operations and supply chain management," Energy Economics, Elsevier, vol. 34(S1), pages 64-74.
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