IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i8p1231-d390209.html
   My bibliography  Save this article

The Loss-Averse Newsvendor Problem with Random Yield and Reference Dependence

Author

Listed:
  • Wei Liu

    (Department of Basic Science, Wuhan Donghu University, Wuhan 430212, China)

  • Shiji Song

    (Department of Automation, Tsinghua University, Beijing 100084, China)

  • Ying Qiao

    (Financial Department, Wuhan Business University, Wuhan 430056, China)

  • Han Zhao

    (Department of Basic Science, Army Logistics University, Chongqing 401311, China)

  • Huachang Wang

    (Department of Basic Science, Army Logistics University, Chongqing 401311, China)

Abstract

This paper studies a loss-averse newsvendor problem with reference dependence, where both demand and yield rate are stochastic. We obtain the loss-averse newsvendor’s optimal ordering policy and analyze the effects of loss aversion, reference dependence, random demand and yield on it. It is shown that the loss-averse newsvendor’s optimal order quantity and expected utility decreases in loss aversion level and reference point. Then, that this order quantity may be larger than the risk-neutral one’s if the reference point is less than a negative threshold. In addition, although the effect of random yield leads to an increase in the order quantity, the loss-averse newsvendor may order more than, equal to or less than the classical one, which significantly depends on loss aversion level and reference point. Numerical experiments were conducted to demonstrate our theoretical results.

Suggested Citation

  • Wei Liu & Shiji Song & Ying Qiao & Han Zhao & Huachang Wang, 2020. "The Loss-Averse Newsvendor Problem with Random Yield and Reference Dependence," Mathematics, MDPI, vol. 8(8), pages 1-15, July.
  • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1231-:d:390209
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/8/1231/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/8/8/1231/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mandal, Prasenjit & Kaul, Rupali & Jain, Tarun, 2018. "Stocking and pricing decisions under endogenous demand and reference point effects," European Journal of Operational Research, Elsevier, vol. 264(1), pages 181-199.
    2. Hui Yu & Jia Zhai & Guang-Ya Chen, 2016. "Robust Optimization for the Loss-Averse Newsvendor Problem," Journal of Optimization Theory and Applications, Springer, vol. 171(3), pages 1008-1032, December.
    3. Herweg, Fabian, 2013. "The expectation-based loss-averse newsvendor," Economics Letters, Elsevier, vol. 120(3), pages 429-432.
    4. 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.
    5. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    6. Wu, Meng & Bai, Tian & Zhu, Stuart X., 2018. "A loss averse competitive newsvendor problem with anchoring," Omega, Elsevier, vol. 81(C), pages 99-111.
    7. Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February.
    8. Wang, Ruopeng & Wang, Jinting, 2018. "Procurement strategies with quantity-oriented reference point and loss aversion," Omega, Elsevier, vol. 80(C), pages 1-11.
    9. Liu, Wei & Song, Shiji & Wu, Cheng, 2013. "Impact of loss aversion on the newsvendor game with product substitution," International Journal of Production Economics, Elsevier, vol. 141(1), pages 352-359.
    10. 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..
    11. Xinsheng Xu & Felix T.S. Chan & Chi Kin Chan, 2019. "Optimal option purchase decision of a loss-averse retailer under emergent replenishment," International Journal of Production Research, Taylor & Francis Journals, vol. 57(14), pages 4594-4620, July.
    12. Nicholas Barberis & Ming Huang, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," Journal of Finance, American Finance Association, vol. 56(4), pages 1247-1292, August.
    13. Xiaoyang Long & Javad Nasiry, 2015. "Prospect Theory Explains Newsvendor Behavior: The Role of Reference Points," Management Science, INFORMS, vol. 61(12), pages 3009-3012, December.
    14. 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.
    15. Yunzeng Wang & Yigal Gerchak, 1996. "Periodic Review Production Models with Variable Capacity, Random Yield, and Uncertain Demand," Management Science, INFORMS, vol. 42(1), pages 130-137, January.
    16. Abraham Grosfeld-Nir & Yigal Gerchak, 2004. "Multiple Lotsizing in Production to Order with Random Yields: Review of Recent Advances," Annals of Operations Research, Springer, vol. 126(1), pages 43-69, February.
    17. Lijun Ma & Weili Xue & Yingxue Zhao & Qinghua Zeng, 2016. "Loss-averse newsvendor problem with supply risk," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(2), pages 214-228, February.
    18. Nicholas Barberis & Ming Huang, 2001. "Mental Accounting, Loss Aversion, and Individual Stock Returns," NBER Working Papers 8190, National Bureau of Economic Research, Inc.
    19. Shaofu Du & Yujiao Zhu & Tengfei Nie & Haisuo Yu, 2018. "Loss-averse preferences in a two-echelon supply chain with yield risk and demand uncertainty," Operational Research, Springer, vol. 18(2), pages 361-388, July.
    20. Chung‐Yee Lee & Tao Lu, 2015. "Inventory competition with yield reliability improvement," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 107-126, March.
    21. Bhavani Shanker Uppari & Sameer Hasija, 2019. "Modeling Newsvendor Behavior: A Prospect Theory Approach," Manufacturing & Service Operations Management, INFORMS, vol. 21(3), pages 481-500, July.
    22. Wei Liu & Shiji Song & Bing Li & Cheng Wu, 2015. "A periodic review inventory model with loss-averse retailer, random supply capacity and demand," International Journal of Production Research, Taylor & Francis Journals, vol. 53(12), pages 3623-3634, June.
    23. 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.
    24. Wang, Charles X., 2010. "The loss-averse newsvendor game," International Journal of Production Economics, Elsevier, vol. 124(2), pages 448-452, April.
    25. Feng, Tianjun & Keller, L. Robin & Zheng, Xiaona, 2011. "Decision making in the newsvendor problem: A cross-national laboratory study," Omega, Elsevier, vol. 39(1), pages 41-50, January.
    26. Candace Arai Yano & Hau L. Lee, 1995. "Lot Sizing with Random Yields: A Review," Operations Research, INFORMS, vol. 43(2), pages 311-334, April.
    27. Xu, Xinsheng & Wang, Hongwei & Dang, Chuangyin & Ji, Ping, 2017. "The loss-averse newsvendor model with backordering," International Journal of Production Economics, Elsevier, vol. 188(C), pages 1-10.
    28. He, Yuanjie, 2013. "Sequential price and quantity decisions under supply and demand risks," International Journal of Production Economics, Elsevier, vol. 141(2), pages 541-551.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Qingwei Wang & Meimei Zheng & Wei Weng, 2023. "Sourcing decisions with loss aversion under yield and demand randomness," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(2), pages 661-710, June.
    3. 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.
    4. 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.
    5. Wentao Yi & Zhongwei Feng & Chunqiao Tan & Yuzhong Yang, 2021. "Green Supply Chain Management with Nash Bargaining Loss-Averse Reference Dependence," Mathematics, MDPI, vol. 9(24), pages 1-26, December.
    6. Wu, Meng & Bai, Tian & Zhu, Stuart X., 2018. "A loss averse competitive newsvendor problem with anchoring," Omega, Elsevier, vol. 81(C), pages 99-111.
    7. Xiang Li & Yongjian Li, 2016. "On lot-sizing problem in a random yield production system under loss aversion," Annals of Operations Research, Springer, vol. 240(2), pages 415-434, May.
    8. Li, Xiang & Qi, Xiangtong & Li, Yongjian, 2021. "On sales effort and pricing decisions under alternative risk criteria," European Journal of Operational Research, Elsevier, vol. 293(2), pages 603-614.
    9. 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.
    10. 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.
    11. Xu, Xinsheng & Ji, Ping & Chan, Felix T.S., 2022. "On maximizing a loss-averse buyer’s expected utility in a multi-sourcing problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 388-404.
    12. Tian Bai & Samuel N. Kirshner & Meng Wu, 2021. "Managing Overconfident Newsvendors: A Target‐Setting Approach," Production and Operations Management, Production and Operations Management Society, vol. 30(11), pages 3967-3986, November.
    13. Haozhe Huang & Xiaowei Li & Shuai Liu, 2022. "Loss Aversion Order Strategy in Emergency Procurement during the COVID-19 Pandemic," Sustainability, MDPI, vol. 14(15), pages 1-10, July.
    14. Chung‐Yee Lee & Xi Li & Mingzhu Yu, 2015. "The loss‐averse newsvendor problem with supply options," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(1), pages 46-59, February.
    15. Shen, Houcai & Pang, Zhan & Cheng, T.C.E., 2011. "The component procurement problem for the loss-averse manufacturer with spot purchase," International Journal of Production Economics, Elsevier, vol. 132(1), pages 146-153, July.
    16. Shaofu Du & Yujiao Zhu & Tengfei Nie & Haisuo Yu, 2018. "Loss-averse preferences in a two-echelon supply chain with yield risk and demand uncertainty," Operational Research, Springer, vol. 18(2), pages 361-388, July.
    17. Zhang, Xiang, 2014. "Reference-dependent electric vehicle production strategy considering subsidies and consumer trade-offs," Energy Policy, Elsevier, vol. 67(C), pages 422-430.
    18. Gu, Huaying & Liu, Zhixue & Qing, Qiankai, 2017. "Optimal electric vehicle production strategy under subsidy and battery recycling," Energy Policy, Elsevier, vol. 109(C), pages 579-589.
    19. Hui Yu & Jia Zhai & Guang-Ya Chen, 2016. "Robust Optimization for the Loss-Averse Newsvendor Problem," Journal of Optimization Theory and Applications, Springer, vol. 171(3), pages 1008-1032, December.
    20. Xiaoqing Liu & Felix T. S. Chan & Xinsheng Xu, 2019. "Hedging Risks in the Loss-Averse Newsvendor Problem with Backlogging," Mathematics, MDPI, vol. 7(5), pages 1-23, May.

    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:gam:jmathe:v:8:y:2020:i:8:p:1231-:d:390209. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.