IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v152y2021ics0960077921007128.html
   My bibliography  Save this article

Complexity analysis of production, fertilizer-saving level, and emission reduction efforts decisions in a two-parallel agricultural product supply chain

Author

Listed:
  • Xi, Xuan
  • Zhang, Yulin

Abstract

This paper analyses the complexity of production, fertilizer-saving level, and emission reduction efforts decisions in a Cournot agricultural products supply chain system. A two-parallel agricultural products supply chain consisting of traditional agricultural producers and green agricultural producers was established. Based on bounded rationality, the decision competition model between the two supply chains was investigated in two scenarios: horizontal Nash (HN) game and long-term Stackelberg (LS) game with traditional agricultural producers as the leader. The Nash equilibrium points of the two models were obtained, and the impact of different decision-making adjustment speeds and critical parameters on the stability of the system and the expected profit of agricultural producers was discussed. The study found that production adjustments had a more significant impact on the stability of the system, decision variables, and expected profits than the adjustment of fertilizer-saving level and emission reduction efforts in the two scenarios. In the HN game, the impact of nitrogen tax or low nitrogen preference on traditional agricultural producers was opposite to that of green agrarian producers. Although the increase of these parameters was beneficial to green agricultural producers, the system’s stability would decrease. In addition, the stability of the LS game model can be divided into two decision-making systems to judge, and the adjustment speed of traditional agricultural producers' decisions had a more significant impact on the whole system. Finally, the feedback control method was used to control the chaos of the system of the HN game.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007128
    DOI: 10.1016/j.chaos.2021.111358
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921007128
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2021.111358?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. 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. Mark A. Sutton & Oene Oenema & Jan Willem Erisman & Adrian Leip & Hans van Grinsven & Wilfried Winiwarter, 2011. "Too much of a good thing," Nature, Nature, vol. 472(7342), pages 159-161, April.
    3. Geraldo Ferrer & Jayashankar M. Swaminathan, 2006. "Managing New and Remanufactured Products," Management Science, INFORMS, vol. 52(1), pages 15-26, January.
    4. Ma, Junhai & Hou, Yaming & Yang, Wenhui & Tian, Yi, 2020. "A time-based pricing game in a competitive vehicle market regarding the intervention of carbon emission reduction," Energy Policy, Elsevier, vol. 142(C).
    5. 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.
    6. Bo Yan & Jing Fan & Congyan Cai & Jing Fang, 2020. "Supply chain coordination of fresh Agri-products based on value loss," Operations Management Research, Springer, vol. 13(3), pages 185-196, December.
    7. 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.
    8. Anna Lungarska & Pierre-Alain Jayet, 2018. "Impact of Spatial Differentiation of Nitrogen Taxes on French Farms’ Compliance Costs," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 69(1), pages 1-21, January.
    9. Peng, Yu & Lu, Qian, 2015. "Complex dynamics analysis for a duopoly Stackelberg game model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 259-268.
    10. 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.
    11. Marc Ribaudo & Jeffrey Savage & John Talberth, 2014. "Encouraging Reductions in Nonpoint Source Pollution through Point-nonpoint Trading: The Roles of Baseline Choice and Practice Subsidies," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 36(3), pages 560-576.
    12. 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).
    13. 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.
    14. Ribaudo, Marc O. & Heimlich, Ralph & Peters, Mark, 2005. "Nitrogen sources and Gulf hypoxia: potential for environmental credit trading," Ecological Economics, Elsevier, vol. 52(2), pages 159-168, January.
    15. Peng, Yu & Xiao, Yue & Lu, Qian & Wu, Xue & Zhao, Yueru, 2020. "Chaotic dynamics in Cournot duopoly model with bounded rationality based on relative profit delegation maximization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    16. 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.
    17. Yu, Min & Nagurney, Anna, 2013. "Competitive food supply chain networks with application to fresh produce," European Journal of Operational Research, Elsevier, vol. 224(2), pages 273-282.
    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. 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).
    2. Jia Liu & Cuixia Li, 2023. "Dynamic Game Analysis on Cooperative Advertising Strategy in a Manufacturer-Led Supply Chain with Risk Aversion," Mathematics, MDPI, vol. 11(3), pages 1-24, January.
    3. L. X. Xiong & X. Y. Li & J. J. Ning & Y. R. Dong & Y. Yan, 2023. "The effects of dynamic incentives on the recycling of livestock and poultry manure in a multiscenario evolutionary game," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(5), pages 4301-4333, May.

    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, 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).
    2. 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.
    3. Sameh S. Askar, 2020. "A Dynamic Duopoly Model: When a Firm Shares the Market with Certain Profit," Mathematics, MDPI, vol. 8(10), pages 1-13, October.
    4. 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.
    5. Peng, Yu & Xiao, Yue & Lu, Qian & Wu, Xue & Zhao, Yueru, 2020. "Chaotic dynamics in Cournot duopoly model with bounded rationality based on relative profit delegation maximization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    6. Dong‐dong Wang & Kangzhou Wang, 2022. "Evolutionary game analysis of low‐carbon effort decisions in the supply chain considering fairness concerns," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(5), pages 1224-1239, July.
    7. Askar, S.S., 2018. "Tripoly Stackelberg game model: One leader versus two followers," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 301-311.
    8. Shi, Lian & Sheng, Zhaohan & Xu, Feng, 2015. "The dynamics of competition in remanufacturing: A stability analysis," Economic Modelling, Elsevier, vol. 50(C), pages 245-253.
    9. Sameh Askar, 2021. "Complex Investigations of a Piecewise-Smooth Remanufacturing Bertrand Duopoly Game," Mathematics, MDPI, vol. 9(20), pages 1-13, October.
    10. S. S. Askar & A. Al-khedhairi, 2019. "Cournot Duopoly Games: Models and Investigations," Mathematics, MDPI, vol. 7(11), pages 1-15, November.
    11. Askar, S.S. & Al-khedhairi, A., 2020. "On complex dynamic investigations of a piecewise smooth nonlinear duopoly game," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    12. Tian, Baodan & Zhang, Yong & Li, Jiamei, 2020. "Stochastic perturbations for a duopoly Stackelberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    13. Sameh S Askar & Abdulrahman Al-Khedhairi, 2020. "Local and Global Dynamics of a Constraint Profit Maximization for Bischi–Naimzada Competition Duopoly Game," Mathematics, MDPI, vol. 8(9), pages 1-16, August.
    14. Guang Zhu & Gaozhi Pan & Weiwei Zhang, 2018. "Evolutionary Game Theoretic Analysis of Low Carbon Investment in Supply Chains under Governmental Subsidies," IJERPH, MDPI, vol. 15(11), pages 1-27, November.
    15. Fang Wu & Junhai Ma, 2023. "Research Trend, Logical Structure and Outlook on Complex Economic Game," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
    16. Zhou, Die & Pi, Jinxiu & Yang, Guanghui & Yang, Hui, 2022. "Nonlinear dynamics of a heterogeneous quantum Commons’ tragedy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).
    17. Zhang, Ming & Wang, Guanghui & Xu, Jin & Qu, Cunquan, 2020. "Dynamic contest model with bounded rationality," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    18. 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).
    19. Wu, Ruijia & Van Gorder, Robert A., 2018. "Nonlinear dynamics of discrete time multi-level leader–follower games," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 240-250.
    20. Peng, Yu & Lu, Qian & Xiao, Yue, 2016. "A dynamic Stackelberg duopoly model with different strategies," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 128-134.

    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:152:y:2021:i:c:s0960077921007128. 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.