IDEAS home Printed from https://ideas.repec.org/a/eee/transe/v118y2018icp51-76.html
   My bibliography  Save this article

A multi-period supply chain network equilibrium model considering retailers’ uncertain demands and dynamic loss-averse behaviors

Author

Listed:
  • Zhou, Yan
  • Chan, Chi Kin
  • Wong, Kar Hung

Abstract

This study constructs an equilibrium model of a multi-period supply chain network with uncertain demand. In the multi-period equilibrium model, we consider not only retailers’ static loss-averse behaviors, but also their dynamic loss-averse behaviors, in which retailers dynamically adjust their loss-averse parameters according to their gains or losses over the production periods. The equilibrium conditions of the various decision makers and the network are established by the finite-dimensional variational inequality. Finally, numerical examples are solved to show how retailers’ loss-averse behaviors would affect decisions, profits of manufacturers and utilities of retailers at equilibrium when compared with their loss-neutral behaviors.

Suggested Citation

  • Zhou, Yan & Chan, Chi Kin & Wong, Kar Hung, 2018. "A multi-period supply chain network equilibrium model considering retailers’ uncertain demands and dynamic loss-averse behaviors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 51-76.
  • Handle: RePEc:eee:transe:v:118:y:2018:i:c:p:51-76
    DOI: 10.1016/j.tre.2018.06.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1366554517309729
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.tre.2018.06.006?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. Nagurney, Anna & Saberi, Sara & Shukla, Shivani & Floden, Jonas, 2015. "Supply chain network competition in price and quality with multiple manufacturers and freight service providers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 248-267.
    2. Qiang, Qiang & Ke, Ke & Anderson, Trisha & Dong, June, 2013. "The closed-loop supply chain network with competition, distribution channel investment, and uncertainties," Omega, Elsevier, vol. 41(2), pages 186-194.
    3. Xu, Xinsheng & Chan, Chi Kin & Langevin, Andre, 2018. "Coping with risk management and fill rate in the loss-averse newsvendor model," International Journal of Production Economics, Elsevier, vol. 195(C), pages 296-310.
    4. Hu, Benyong & Meng, Chao & Xu, Dong & Son, Young-Jun, 2016. "Three-echelon supply chain coordination with a loss-averse retailer and revenue sharing contracts," International Journal of Production Economics, Elsevier, vol. 179(C), pages 192-202.
    5. Li, Dong & Nagurney, Anna & Yu, Min, 2018. "Consumer learning of product quality with time delay: Insights from spatial price equilibrium models with differentiated products," Omega, Elsevier, vol. 81(C), pages 150-168.
    6. Marshall Fisher & Ananth Raman, 1996. "Reducing the Cost of Demand Uncertainty Through Accurate Response to Early Sales," Operations Research, INFORMS, vol. 44(1), pages 87-99, February.
    7. Yinghao Zhang & Karen Donohue & Tony Haitao Cui, 2016. "Contract Preferences and Performance for the Loss-Averse Supplier: Buyback vs. Revenue Sharing," Management Science, INFORMS, vol. 62(6), pages 1734-1754, June.
    8. Mahesh Nagarajan & Steven Shechter, 2014. "Prospect Theory and the Newsvendor Problem," Management Science, INFORMS, vol. 60(4), pages 1057-1062, April.
    9. Hammond, David & Beullens, Patrick, 2007. "Closed-loop supply chain network equilibrium under legislation," European Journal of Operational Research, Elsevier, vol. 183(2), pages 895-908, December.
    10. Richard H. Thaler & Eric J. Johnson, 1990. "Gambling with the House Money and Trying to Break Even: The Effects of Prior Outcomes on Risky Choice," Management Science, INFORMS, vol. 36(6), pages 643-660, June.
    11. Miralinaghi, Mohammad & Peeta, Srinivas, 2016. "Multi-period equilibrium modeling planning framework for tradable credit schemes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 177-198.
    12. Yang, Guang-fen & Wang, Zhi-ping & Li, Xiao-qiang, 2009. "The optimization of the closed-loop supply chain network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 45(1), pages 16-28, January.
    13. Nagurney, Anna & Dong, June & Zhang, Ding, 2002. "A supply chain network equilibrium model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 38(5), pages 281-303, September.
    14. Saberi, Sara & Cruz, Jose M. & Sarkis, Joseph & Nagurney, Anna, 2018. "A competitive multiperiod supply chain network model with freight carriers and green technology investment option," European Journal of Operational Research, Elsevier, vol. 266(3), pages 934-949.
    15. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    16. Toyasaki, Fuminori & Daniele, Patrizia & Wakolbinger, Tina, 2014. "A variational inequality formulation of equilibrium models for end-of-life products with nonlinear constraints," European Journal of Operational Research, Elsevier, vol. 236(1), pages 340-350.
    17. Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February.
    18. Maurice E. Schweitzer & Gérard P. Cachon, 2000. "Decision Bias in the Newsvendor Problem with a Known Demand Distribution: Experimental Evidence," Management Science, INFORMS, vol. 46(3), pages 404-420, March.
    19. Chen, Yenming J. & Sheu, Jiuh-Biing, 2017. "Non-differentiated green product positioning: Roles of uncertainty and rationality," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 103(C), pages 248-260.
    20. Nagurney, Anna & Yu, Min, 2012. "Sustainable fashion supply chain management under oligopolistic competition and brand differentiation," International Journal of Production Economics, Elsevier, vol. 135(2), pages 532-540.
    21. Nagurney, Anna & Yu, Min & Floden, Jonas & Nagurney, Ladimer S., 2014. "Supply chain network competition in time-sensitive markets," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 112-127.
    22. Teck-Hua Ho & Juanjuan Zhang, 2008. "Designing Pricing Contracts for Boundedly Rational Customers: Does the Framing of the Fixed Fee Matter?," Management Science, INFORMS, vol. 54(4), pages 686-700, April.
    23. Nagurney, Anna & Toyasaki, Fuminori, 2005. "Reverse supply chain management and electronic waste recycling: a multitiered network equilibrium framework for e-cycling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 41(1), pages 1-28, January.
    24. Dong, June & Zhang, Ding & Nagurney, Anna, 2004. "A supply chain network equilibrium model with random demands," European Journal of Operational Research, Elsevier, vol. 156(1), pages 194-212, July.
    25. Masoumi, Amir H. & Yu, Min & Nagurney, Anna, 2012. "A supply chain generalized network oligopoly model for pharmaceuticals under brand differentiation and perishability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(4), pages 762-780.
    26. 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.
    27. Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2017. "Optimal dynamic pricing for deteriorating items with reference price effects when inventories stimulate demand," European Journal of Operational Research, Elsevier, vol. 262(1), pages 136-150.
    28. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory and Asset Prices," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 1-53.
    29. Fulga, Cristinca, 2016. "Portfolio optimization under loss aversion," European Journal of Operational Research, Elsevier, vol. 251(1), pages 310-322.
    30. Zhang, Wenlang & Semmler, Willi, 2009. "Prospect theory for stock markets: Empirical evidence with time-series data," Journal of Economic Behavior & Organization, Elsevier, vol. 72(3), pages 835-849, December.
    31. Nagurney, Anna & Flores, Emilio Alvarez & Soylu, Ceren, 2016. "A Generalized Nash Equilibrium network model for post-disaster humanitarian relief," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 1-18.
    32. Vipin, B. & Amit, R.K., 2017. "Loss aversion and rationality in the newsvendor problem under recourse option," European Journal of Operational Research, Elsevier, vol. 261(2), pages 563-571.
    33. Nagurney, Anna & Shukla, Shivani, 2017. "Multifirm models of cybersecurity investment competition vs. cooperation and network vulnerability," European Journal of Operational Research, Elsevier, vol. 260(2), pages 588-600.
    34. Possamai, Janaína Poffo & Pescador, Andresa & Mayerle, Sérgio Fernando & Neiva de Figueiredo, João, 2015. "Optimal commodity price stabilization as a multi-period spatial equilibrium problem: A supernetwork approach with public buffer stocks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 289-310.
    35. Cruz, Jose M. & Liu, Zugang, 2011. "Modeling and analysis of the multiperiod effects of social relationship on supply chain networks," European Journal of Operational Research, Elsevier, vol. 214(1), pages 39-52, October.
    36. Li, Dong & Nagurney, Anna, 2015. "A general multitiered supply chain network model of quality competition with suppliers," International Journal of Production Economics, Elsevier, vol. 170(PA), pages 336-356.
    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. Yan Zhou & Xue-Qi Liu & Kar-Hung Wong, 2021. "Remanufacturing Policies Options for a Closed-Loop Supply Chain Network," Sustainability, MDPI, vol. 13(12), pages 1-26, June.
    2. Yongtao Peng & Bohai Chen & Eleonora Veglianti, 2022. "Platform Service Supply Chain Network Equilibrium Model with Data Empowerment," Sustainability, MDPI, vol. 14(9), pages 1-21, April.
    3. Chan, Chi Kin & Zhou, Yan & Wong, Kar Hung, 2019. "An equilibrium model of the supply chain network under multi-attribute behaviors analysis," European Journal of Operational Research, Elsevier, vol. 275(2), pages 514-535.
    4. Bai, Tian & Wu, Meng & Zhu, Stuart X., 2019. "Pricing and ordering by a loss averse newsvendor with reference dependence," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 131(C), pages 343-365.
    5. Zhu, Haoruo & Ni, Yaodong & Yang, Meng & Song, Qinyu, 2023. "Blessing or curse? Impact of incomplete information in a networked cournot competition," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
    6. Hao Zhang & Yan Cui & Hepu Deng & Shuxian Cui & Huijia Mu, 2021. "An Improved Genetic Algorithm for the Optimal Distribution of Fresh Products under Uncertain Demand," Mathematics, MDPI, vol. 9(18), pages 1-18, September.
    7. Wei, Ying & Xiong, Sijia & Li, Feng, 2019. "Ordering bias with two reference profits: Exogenous benchmark and minimum requirement," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 229-250.
    8. Ahmad Fadavi & Fariborz Jolai & Ata Allah Taleizadeh, 2022. "Green product design in a supply chain with considering marketing under competition and coordination," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(10), pages 11721-11759, October.
    9. Zhang, Guoqing & Shi, Jianmai & Chaudhry, Sohail S. & Li, Xindan, 2019. "Multi-period multi-product acquisition planning with uncertain demands and supplier quantity discounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 117-140.
    10. Cui Li & Doudou Wu & Tengfei Shao, 2023. "Research on Sustainable Cooperation Strategies for Cross-Regional Supply Chain Enterprises in Uncertain Environments," Sustainability, MDPI, vol. 15(22), pages 1-31, November.

    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. Chan, Chi Kin & Zhou, Yan & Wong, Kar Hung, 2019. "An equilibrium model of the supply chain network under multi-attribute behaviors analysis," European Journal of Operational Research, Elsevier, vol. 275(2), pages 514-535.
    2. Hamdouch, Younes & Ghoudi, Kilani, 2020. "A Supply Chain Equilibrium Model with General Price-Dependent Demand," Operations Research Perspectives, Elsevier, vol. 7(C).
    3. Chan, Chi Kin & Zhou, Yan & Wong, Kar Hung, 2018. "A dynamic equilibrium model of the oligopolistic closed-loop supply chain network under uncertain and time-dependent demands," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 325-354.
    4. Wei Liu & Han Zhao & Shiji Song & Wenxuan He & Xiaochen Li, 2021. "Coping with Loss Aversion and Risk Management in the Supply Chain Coordination," Sustainability, MDPI, vol. 13(8), pages 1-18, April.
    5. Wei, Ying & Xiong, Sijia & Li, Feng, 2019. "Ordering bias with two reference profits: Exogenous benchmark and minimum requirement," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 128(C), pages 229-250.
    6. Wei Liu & Shiji Song & Ying Qiao & Han Zhao, 2020. "Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract," Mathematics, MDPI, vol. 8(4), pages 1-20, April.
    7. Anna Nagurney & Min Yu & Deniz Besik, 2017. "Supply chain network capacity competition with outsourcing: a variational equilibrium framework," Journal of Global Optimization, Springer, vol. 69(1), pages 231-254, September.
    8. Yang, Yuxiang & Goodarzi, Shadi & Jabbarzadeh, Armin & Fahimnia, Behnam, 2022. "In-house production and outsourcing under different emissions reduction regulations: An equilibrium decision model for global supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    9. Nagurney, Anna, 2021. "Supply chain game theory network modeling under labor constraints: Applications to the Covid-19 pandemic," European Journal of Operational Research, Elsevier, vol. 293(3), pages 880-891.
    10. Tatsuya Hirano & Yasushi Narushima, 2019. "Robust Supply Chain Network Equilibrium Model," Transportation Science, INFORMS, vol. 53(4), pages 1196-1212, July.
    11. E. Allevi & A. Gnudi & I. V. Konnov & G. Oggioni, 2018. "Evaluating the effects of environmental regulations on a closed-loop supply chain network: a variational inequality approach," Annals of Operations Research, Springer, vol. 261(1), pages 1-43, February.
    12. Kirshner, Samuel N. & Shao, Lusheng, 2018. "Internal and external reference effects in a two-tier supply chain," European Journal of Operational Research, Elsevier, vol. 267(3), pages 944-957.
    13. Ma, Jun & Nault, Barrie R. & Tu, Yiliu (Paul), 2023. "Customer segmentation, pricing, and lead time decisions: A stochastic-user-equilibrium perspective," International Journal of Production Economics, Elsevier, vol. 264(C).
    14. Tao, Zhang Gui & Guang, Zhong Yong & Hao, Sun & Song, Hu Jin & Xin, Dai Geng, 2015. "Multi-period closed-loop supply chain network equilibrium with carbon emission constraints," Resources, Conservation & Recycling, Elsevier, vol. 104(PB), pages 354-365.
    15. Yan, Nina & Xu, Xun & Huang, Wenyi, 2021. "Supplier's capacity investment strategy with factoring finance," International Journal of Production Economics, Elsevier, vol. 238(C).
    16. Younes Hamdouch & Qiang Patrick Qiang & Kilani Ghoudi, 2017. "A Closed-Loop Supply Chain Equilibrium Model with Random and Price-Sensitive Demand and Return," Networks and Spatial Economics, Springer, vol. 17(2), pages 459-503, June.
    17. Ruozhen Qiu & Yue Yu & Minghe Sun, 2021. "Joint pricing and stocking decisions for a newsvendor problem with loss aversion and reference point effect," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(2), pages 275-288, March.
    18. Qiuyun Zhu & Xiaoyang Zhou & Aijun Liu & Chong Gao & Lei Xu & Fan Zhao & Ding Zhang & Benjamin Lev, 2022. "Equilibrium Optimization with Multi-Energy-Efficiency-Grade Products: Government and Market Perspective," Energies, MDPI, vol. 15(19), pages 1-23, October.
    19. Yan Zhou & Xue-Qi Liu & Kar-Hung Wong, 2021. "Remanufacturing Policies Options for a Closed-Loop Supply Chain Network," Sustainability, MDPI, vol. 13(12), pages 1-26, June.
    20. Han, Xiaoya & Liu, Xin, 2020. "Equilibrium decisions for multi-firms considering consumer quality preference," International Journal of Production Economics, Elsevier, vol. 227(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:transe:v:118:y:2018:i:c:p:51-76. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description .

    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.