IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v140y2020ics0960077920306160.html
   My bibliography  Save this article

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

Author

Listed:
  • 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.

Suggested Citation

  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077920306160
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2020.110220?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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).
    4. 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.
    5. 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.
    6. 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.
    7. LiuWei Zhao, 2017. "Nonlinear Complex Dynamics of Carbon Emission Reduction Cournot Game with Bounded Rationality," Complexity, Hindawi, vol. 2017, pages 1-10, October.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Toshimitsu, Tsuyoshi, 2010. "On the paradoxical case of a consumer-based environmental subsidy policy," Economic Modelling, Elsevier, vol. 27(1), pages 159-164, January.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jixiang Zhang & Chen Zhu, 2020. "Research on the Dynamic Pricing and Service Decisions in the Reverse Supply Chain considering Consumers’ Service Sensitivity," Sustainability, MDPI, vol. 12(22), pages 1-21, November.
    2. Zhang, Ling & Zhang, Zheng, 2022. "Dynamic analysis of the decision of authorized remanufacturing supply chain affected by government subsidies under cap-and-trade policies," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Bin Meng & Haibo Kuang & Erxuan Niu & Jing Li & Zhenhui Li, 2020. "Research on the Transformation Path of the Green Intelligent Port: Outlining the Perspective of the Evolutionary Game “Government–Port–Third-Party Organization”," Sustainability, MDPI, vol. 12(19), pages 1-25, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xi, Xuan & Zhang, Yulin, 2021. "Complexity analysis of production, fertilizer-saving level, and emission reduction efforts decisions in a two-parallel agricultural product supply chain," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    2. Yi, Qi Guo & Zeng, Xiang Jin, 2015. "Complex dynamics and chaos control of duopoly Bertrand model in Chinese air-conditioning market," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 231-237.
    3. Jixiang Zhang & Chen Zhu, 2020. "Research on the Dynamic Pricing and Service Decisions in the Reverse Supply Chain considering Consumers’ Service Sensitivity," Sustainability, MDPI, vol. 12(22), pages 1-21, November.
    4. Grau-Climent, Juan & Garcia-Perez, Luis & Alonso-Sanz, Ramon & Losada, Juan C., 2023. "Effect of players’ expectations and memory in a quantum Cournot game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    5. Peng, Yu & Lu, Qian & Wu, Xue & Zhao, Yueru & Xiao, Yue, 2020. "Dynamics of Hotelling triopoly model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    6. Zhao, LiuWei & Du, Jianguo & Wang, QiWei, 2019. "Nonlinear analysis and chaos control of the complex dynamics of multi-market Cournot game with bounded rationality," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 45-57.
    7. Garmani, Hamid & Ait Omar, Driss & El Amrani, Mohamed & Baslam, Mohamed & Jourhmane, Mostafa, 2020. "Analysis of a dynamics duopoly game with two content providers," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    8. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.
    9. Luciano Fanti & Luca Gori, 2013. "Stability Analysis in a Bertrand Duopoly with Different Product Quality and Heterogeneous Expectations," Journal of Industry, Competition and Trade, Springer, vol. 13(4), pages 481-501, December.
    10. Zhu, Xiaolong & Zhu, Weidong & Yu, Lei, 2014. "Analysis of a nonlinear mixed Cournot game with boundedly rational players," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 82-88.
    11. Peng, Yu & Lu, Qian & Xiao, Yue & Wu, Xue, 2019. "Complex dynamics analysis for a remanufacturing duopoly model with nonlinear cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 658-670.
    12. Georges SARAFOPOULOS & Kosmas PAPADOPOULOS, 2017. "On A Cournot Duopoly Game With Differentiated Goods, Heterogeneous Expectations And A Cost Function Including Emission Costs," Scientific Bulletin - Economic Sciences, University of Pitesti, vol. 16(1), pages 11-22.
    13. Tomasz Dubiel-Teleszyński, 2010. "Complex Dynamics in a Bertrand Duopoly Game with Heterogeneous Players," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 2(2), pages 95-116, March.
    14. Xin, Baogui & Ma, Junhai & Gao, Qin, 2009. "The complexity of an investment competition dynamical model with imperfect information in a security market," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2425-2438.
    15. Fanti, Luciano & Gori, Luca, 2012. "The dynamics of a differentiated duopoly with quantity competition," Economic Modelling, Elsevier, vol. 29(2), pages 421-427.
    16. Yang, Xuenan & Peng, Yu & Xiao, Yue & Wu, Xue, 2019. "Nonlinear dynamics of a duopoly Stackelberg game with marginal costs," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 185-191.
    17. Fanti, Luciano & Gori, Luca, 2011. "The dynamics of a Bertrand duopoly with differentiated products and bounded rational firms revisited," MPRA Paper 33268, University Library of Munich, Germany.
    18. Ueda, Masahiko, 2019. "Effect of information asymmetry in Cournot duopoly game with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    19. S. S. Askar & Mona F. EL-Wakeel & M. A. Alrodaini, 2018. "Exploration of Complex Dynamics for Cournot Oligopoly Game with Differentiated Products," Complexity, Hindawi, vol. 2018, pages 1-13, February.
    20. Zhao, Dan & Ji, Shou-feng & Wang, He-ping & Jiang, Li-wen, 2021. "How do government subsidies promote new energy vehicle diffusion in the complex network context? A three-stage evolutionary game model," Energy, Elsevier, vol. 230(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306160. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.