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Optimal decisions for the loss-averse newsvendor problem under CVaR

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  • Xinsheng, Xu
  • Zhiqing, Meng
  • Rui, Shen
  • Min, Jiang
  • Ping, Ji

Abstract

Most of the existing literature about the newsvendor problem mainly focused on choosing an optimal order quantity to maximize the expected profit of a risk-neutral newsvendor. However, some studies pointed out that in practice managers׳ decisions as to order quantities always deviate from the profit-maximization order quantity, which is referred to as decision bias in the newsvendor problem. Then, many studies introduced other preferences rather than risk neutrality of the newsvendor to explain such a decision bias. This paper thus introduces loss aversion to the research of the newsvendor decision bias. We propose a new definition to the loss-averse newsvendor problem–legacy loss, which is defined either as the loss for excess order or the shortage penalty for lost sales when sales time is due. The optimal decisions of a loss-averse newsvendor are obtained through the following three ways: (i) minimizing the expected legacy loss, (ii) minimizing CVaR of legacy loss by combining the CVaR measure in risk management, (iii) minimizing the combination of expected legacy loss and CVaR of legacy loss; and are compared with other existing results. Besides, we present some properties of the optimal decisions as well as relations among them. Some numerical examples are given to illustrate the obtained results.

Suggested Citation

  • Xinsheng, Xu & Zhiqing, Meng & Rui, Shen & Min, Jiang & Ping, Ji, 2015. "Optimal decisions for the loss-averse newsvendor problem under CVaR," International Journal of Production Economics, Elsevier, vol. 164(C), pages 146-159.
    • Handle: RePEc:eee:proeco:v:164:y:2015:i:c:p:146-159
    DOI: 10.1016/j.ijpe.2015.03.019
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    1. Colin Camerer & Linda Babcock & George Loewenstein & Richard Thaler, 1997. "Labor Supply of New York City Cabdrivers: One Day at a Time," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 407-441.
    2. Chen, Xu & Hao, Gang & Li, Ling, 2014. "Channel coordination with a loss-averse retailer and option contracts," International Journal of Production Economics, Elsevier, vol. 150(C), pages 52-57.
    3. Caliskan-Demirag, Ozgun & (Frank) Chen, Youhua & Li, Jianbin, 2011. "Customer and retailer rebates under risk aversion," International Journal of Production Economics, Elsevier, vol. 133(2), pages 736-750, October.
    4. Gotoh, Jun-ya & Takano, Yuichi, 2007. "Newsvendor solutions via conditional value-at-risk minimization," European Journal of Operational Research, Elsevier, vol. 179(1), pages 80-96, May.
    5. Gary E. Bolton & Axel Ockenfels & Ulrich W. Thonemann, 2012. "Managers and Students as Newsvendors," Management Science, INFORMS, vol. 58(12), pages 2225-2233, December.
    6. Mahesh Nagarajan & Steven Shechter, 2014. "Prospect Theory and the Newsvendor Problem," Management Science, INFORMS, vol. 60(4), pages 1057-1062, April.
    7. Wu, Jun & Li, Jian & Wang, Shouyang & Cheng, T.C.E., 2009. "Mean-variance analysis of the newsvendor model with stockout cost," Omega, Elsevier, vol. 37(3), pages 724-730, June.
    8. Qiu, Ruozhen & Shang, Jennifer & Huang, Xiaoyuan, 2014. "Robust inventory decision under distribution uncertainty: A CVaR-based optimization approach," International Journal of Production Economics, Elsevier, vol. 153(C), pages 13-23.
    9. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
    10. Wang, Charles X. & Webster, Scott, 2009. "The loss-averse newsvendor problem," Omega, Elsevier, vol. 37(1), pages 93-105, February.
    11. Abhilasha Prakash Katariya & Sila Cetinkaya & Eylem Tekin, 2014. "On the comparison of risk-neutral and risk-averse newsvendor problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(7), pages 1090-1107, July.
    12. Werner Jammernegg & Peter Kischka, 2007. "Risk-averse and risk-taking newsvendors: a conditional expected value approach," Review of Managerial Science, Springer, vol. 1(1), pages 93-110, April.
    13. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    14. Wu, Meng & Zhu, Stuart X. & Teunter, Ruud H., 2013. "The risk-averse newsvendor problem with random capacity," European Journal of Operational Research, Elsevier, vol. 231(2), pages 328-336.
    15. Sun, Qi & Dong, Yucheng & Xu, Weidong, 2013. "Effects of higher order moments on the newsvendor problem," International Journal of Production Economics, Elsevier, vol. 146(1), pages 167-177.
    16. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 73-92.
    17. Dai, Jiansheng & Meng, Weidong, 2015. "A risk-averse newsvendor model under marketing-dependency and price-dependency," International Journal of Production Economics, Elsevier, vol. 160(C), pages 220-229.
    18. Daniel S. Putler, 1992. "Incorporating Reference Price Effects into a Theory of Consumer Choice," Marketing Science, INFORMS, vol. 11(3), pages 287-309.
    19. 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.
    20. 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.
    21. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    22. Sungyong Choi & Andrzej Ruszczyński & Yao Zhao, 2011. "A Multiproduct Risk-Averse Newsvendor with Law-Invariant Coherent Measures of Risk," Operations Research, INFORMS, vol. 59(2), pages 346-364, April.
    23. Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
    24. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
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    10. Doran Wood & Sıla Çetinkaya, 2024. "A comparative analysis of how to handle stockout scenarios: the impact of newsvendor’s risk attitude," Annals of Operations Research, Springer, vol. 338(2), pages 1187-1218, July.
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