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Title: Hedging risks in the loss-averse newsvendor problem with backlogging
Authors: Liu, XQ
Chan, FTS 
Xu, XS
Issue Date: 2019
Source: Mathematics, May 2019, v. 7, no. 5, 429, p. 1-23
Abstract: This paper studies the optimal order decisions for the loss-averse newsvendor problem with backordering and contributes to the risk hedging issue in the newsvendor model. The Conditional Value-at-Risk (CVaR) measure is applied to quantify the potential risks for the loss-averse newsvendor in a backordering setting, and we obtain the optimal order quantity for a loss-averse newsvendor to maximize the CVaR of utility. It is found that the optimal order quantity to maximize the CVaR objective could be bigger or smaller than the expected profit maximization (EPM) order quantity, which provides an alternative explanation on decision bias in the newsvendor model. This study also reveals that the optimal order quantity for a loss-averse newsvendor to maximize expected utility with backordering is smaller than the EPM order quantity, which implies that backordering encourages the loss-averse newsvendor to order fewer items. Sensitivity analyses are performed to investigate the properties of the optimal order quantities and managerial insights are suggested. This paper provides a novel method for the risk management of the loss-averse newsvendor model and presents several new ordering policies for the retailers in practice.
Keywords: Newsvendor model
Conditional value-at-risk
Risk management
Loss aversion
Publisher: Molecular Diversity Preservation International (MDPI)
Journal: Mathematics 
EISSN: 2227-7390
DOI: 10.3390/math7050429
Rights: © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (
The following publication Liu, X.; Chan, F.T.S.; Xu, X. Hedging Risks in the Loss-Averse Newsvendor Problem with Backlogging. Mathematics 2019, 7, 429, 1-23 is available at
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