2020
DOI: 10.3390/math8081231
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The Loss-Averse Newsvendor Problem with Random Yield and Reference Dependence

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 refer… Show more

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Cited by 6 publications
(6 citation statements)
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“…First, the reference point in the loss aversion utility function is set to zero to facilitate the analysis. However, some studies (e.g., [50,55]) have pointed out that the reference point has an important effect on the ordering decisions. The model incorporating reference dependence deserves further study.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…First, the reference point in the loss aversion utility function is set to zero to facilitate the analysis. However, some studies (e.g., [50,55]) have pointed out that the reference point has an important effect on the ordering decisions. The model incorporating reference dependence deserves further study.…”
Section: Discussionmentioning
confidence: 99%
“…Finally, the present paper is related to the literature on inventory models incorporating both loss aversion and risk management. Although the inventory research with loss-averse or risk-averse preferences has made a lot of achievements (e.g., [48][49][50][51]), the publications jointly considering both factors are relatively limited. Xu et al [27] study the loss-averse newsvendor problem under CVaR criterion and present management insights on how to balance loss aversion and fill rate.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Wang [18] further developed a newsvendor model to study a competitive market with multiple loss-averse retailers. Liu et al [19] and Qiu et al [20] studied a loss-averse newsvendor problem with reference dependence, while Zhou et al [21] compared the impact of static loss-averse behaviors and dynamic loss-averse behaviors of retailers with demand uncertainty on the decisions and utilities of the supply chain. In this article, we consider both reference dependency and loss aversion of consumers.…”
Section: Literature Reviewmentioning
confidence: 99%
“…While the study extends to information updates, it focuses on the arrival information of previous orders rather than demand information. Liu et al (2020) and Deng MSCRA 5,2 and Zheng (2020) considered the retailer's loss aversion and risk aversion in inventory control problems with random yields and random demands, respectively. Liu et al (2020) employed a newsvendor model, while Deng and Zheng (2020) added chance constraints.…”
Section: Literature Reviewmentioning
confidence: 99%