Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract

This paper studies the supply chain coordination where the retailer is loss-averse, and a combined buyback and quantity flexibility contract is introduced. The loss-averse retailer’s objective is to maximize the Conditional Value-at-Risk of utility. It is shown the combined contract can coordinate t...

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Main Authors: Wei Liu, Shiji Song, Ying Qiao, Han Zhao
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/4/586
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spelling doaj-203a4a5afcb74ac4893dcdf8fd4ae58f2020-11-25T02:02:34ZengMDPI AGMathematics2227-73902020-04-01858658610.3390/math8040586Supply Chain Coordination with a Loss-Averse Retailer and Combined ContractWei Liu0Shiji Song1Ying Qiao2Han Zhao3Department of Basic Science, Wuhan Donghu University, Wuhan 430212, ChinaDepartment of Automation, Tsinghua University, Beijing 100084, ChinaFinancial Department, Wuhan Business University, Wuhan 430056, ChinaDepartment of Automation, Tsinghua University, Beijing 100084, ChinaThis paper studies the supply chain coordination where the retailer is loss-averse, and a combined buyback and quantity flexibility contract is introduced. The loss-averse retailer’s objective is to maximize the Conditional Value-at-Risk of utility. It is shown the combined contract can coordinate the chain and a unique coordinating wholesale price exists if the confidence level is below a threshold. Moreover, the retailer’s optimal order quantity, expected utility and coordinating wholesale price are decreasing in loss aversion and confidence levels, respectively. We also find that when the contract parameters are restricted, the combined contract may coordinate the supply chain even though neither of its component contracts coordinate the chain.https://www.mdpi.com/2227-7390/8/4/586loss aversionConditional Value-at-Risksupply chain coordinationcontract design
collection DOAJ
language English
format Article
sources DOAJ
author Wei Liu
Shiji Song
Ying Qiao
Han Zhao
spellingShingle Wei Liu
Shiji Song
Ying Qiao
Han Zhao
Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract
Mathematics
loss aversion
Conditional Value-at-Risk
supply chain coordination
contract design
author_facet Wei Liu
Shiji Song
Ying Qiao
Han Zhao
author_sort Wei Liu
title Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract
title_short Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract
title_full Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract
title_fullStr Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract
title_full_unstemmed Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract
title_sort supply chain coordination with a loss-averse retailer and combined contract
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-04-01
description This paper studies the supply chain coordination where the retailer is loss-averse, and a combined buyback and quantity flexibility contract is introduced. The loss-averse retailer’s objective is to maximize the Conditional Value-at-Risk of utility. It is shown the combined contract can coordinate the chain and a unique coordinating wholesale price exists if the confidence level is below a threshold. Moreover, the retailer’s optimal order quantity, expected utility and coordinating wholesale price are decreasing in loss aversion and confidence levels, respectively. We also find that when the contract parameters are restricted, the combined contract may coordinate the supply chain even though neither of its component contracts coordinate the chain.
topic loss aversion
Conditional Value-at-Risk
supply chain coordination
contract design
url https://www.mdpi.com/2227-7390/8/4/586
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AT shijisong supplychaincoordinationwithalossaverseretailerandcombinedcontract
AT yingqiao supplychaincoordinationwithalossaverseretailerandcombinedcontract
AT hanzhao supplychaincoordinationwithalossaverseretailerandcombinedcontract
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