IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v182y2021icp353-365.html
   My bibliography  Save this article

A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game

Author

Listed:
  • Wu, Chengfeng
  • Liu, Xin
  • Li, Annan

Abstract

At present, the research on relevant decision-making considering the loss risk/ default risk in trade credit is on the rise This paper presents a supply chain model with a risk-averse retailer and a supplier offering loss sharing and trade credit in a supplier-Stackelberg game where the decision variables are the optimal order quantity and loss sharing ratio. The model is analyzed and compared to a newsvendor model without loss sharing and trade credit. Meanwhile, we provide a numerical example and sensitivity analysis to obtain managerial insights. We determine the trend and sensitivity hierarchies between the parameters and the optimal results. The main novelty and contribution of the paper can be demonstrated in two aspects. First, the risk tolerance largely affects the profit of supply chain members, therefore, we incorporate risk-averse parameter into trade credit policy. Second, we incorporate loss sharing into the supplier-Stackelberg game with trade credit for a loss-averse retailer. The findings highlight that for a risk-averse retailer, the supplier can improve the retailer’s utility and its own profits through trade credit and loss sharing.

Suggested Citation

  • Wu, Chengfeng & Liu, Xin & Li, Annan, 2021. "A loss-averse retailer–supplier supply chain model under trade credit in a supplier-Stackelberg game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 353-365.
  • Handle: RePEc:eee:matcom:v:182:y:2021:i:c:p:353-365
    DOI: 10.1016/j.matcom.2020.10.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475420303803
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2020.10.025?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tiwari, Sunil & Cárdenas-Barrón, Leopoldo Eduardo & Goh, Mark & Shaikh, Ali Akbar, 2018. "Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain," International Journal of Production Economics, Elsevier, vol. 200(C), pages 16-36.
    2. Feng, Lin & Chan, Ya-Lan, 2019. "Joint pricing and production decisions for new products with learning curve effects under upstream and downstream trade credits," European Journal of Operational Research, Elsevier, vol. 272(3), pages 905-913.
    3. Mohsen Lashgari & Ata Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    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. Noori-Daryan, Mahsa & Taleizadeh, Ata Allah & Jolai, Fariborz, 2019. "Analyzing pricing, promised delivery lead time, supplier-selection, and ordering decisions of a multi-national supply chain under uncertain environment," International Journal of Production Economics, Elsevier, vol. 209(C), pages 236-248.
    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. Liang-Yuh Ouyang & Chun-Tao Chang & Philip Shum, 2012. "The EOQ with defective items and partially permissible delay in payments linked to order quantity derived algebraically," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 141-160, March.
    8. Chun-Tao Chang & Jinn-Tsair Teng & Suresh Kumar Goyal, 2008. "Inventory Lot-Size Models Under Trade Credits: A Review," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 89-112.
    9. Chen, Jianxin & Zhang, Tonghua & Zhou, Yongwu, 2020. "Dynamics of a risk-averse newsvendor model with continuous-time delay in supply chain financing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 169(C), pages 133-148.
    10. Ji Seong Noh & Jong Soo Kim & Biswajit Sarkar, 2019. "Stochastic joint replenishment problem with quantity discounts and minimum order constraints," Operational Research, Springer, vol. 19(1), pages 151-178, March.
    11. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    12. Ma, Lijun & Zhao, Yingxue & Xue, Weili & Cheng, T.C.E. & Yan, Houmin, 2012. "Loss-averse newsvendor model with two ordering opportunities and market information updating," International Journal of Production Economics, Elsevier, vol. 140(2), pages 912-921.
    13. Biswajit Sarkar & Sharmila Saren & Mitali Sarkar & Yong Won Seo, 2016. "A Stackelberg Game Approach in an Integrated Inventory Model with Carbon-Emission and Setup Cost Reduction," Sustainability, MDPI, vol. 8(12), pages 1-23, December.
    14. Jizhou Zhan & Xiangfeng Chen & Qiying Hu, 2019. "The value of trade credit with rebate contract in a capital-constrained supply chain," International Journal of Production Research, Taylor & Francis Journals, vol. 57(2), pages 379-396, January.
    15. Vipin, B. & Amit, R.K., 2017. "Loss aversion and rationality in the newsvendor problem under recourse option," European Journal of Operational Research, Elsevier, vol. 261(2), pages 563-571.
    16. 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.
    17. B. C. Giri & S. Sharma, 2016. "Optimal ordering policy for an inventory system with linearly increasing demand and allowable shortages under two levels trade credit financing," Operational Research, Springer, vol. 16(1), pages 25-50, April.
    18. Wang, Charles X. & Webster, Scott & Suresh, Nallan C., 2009. "Would a risk-averse newsvendor order less at a higher selling price?," European Journal of Operational Research, Elsevier, vol. 196(2), pages 544-553, July.
    19. Zhiming Chen & Kunwen Yuan & Shaorui Zhou, 2019. "Supply chain coordination with trade credit under the CVaR criterion," International Journal of Production Research, Taylor & Francis Journals, vol. 57(11), pages 3538-3553, June.
    20. Sungyong Choi, 2018. "A Loss-Averse Newsvendor with Cap-and-Trade Carbon Emissions Regulation," Sustainability, MDPI, vol. 10(7), pages 1-12, June.
    21. Mohamad Y. Jaber & Ibrahim H. Osman & Alfred L. Guiffrida, 2006. "Coordinating a three-level supply chain with price discounts, price dependent demand, and profit sharing," International Journal of Integrated Supply Management, Inderscience Enterprises Ltd, vol. 2(1/2), pages 28-48.
    22. Jean Tirole, 2006. "The Theory of Corporate Finance," Post-Print hal-00173191, HAL.
    23. Sarkar, Biswajit & Guchhait, Rekha & Sarkar, Mitali & Cárdenas-Barrón, Leopoldo Eduardo, 2019. "How does an industry manage the optimum cash flow within a smart production system with the carbon footprint and carbon emission under logistics framework?," International Journal of Production Economics, Elsevier, vol. 213(C), pages 243-257.
    24. 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.
    25. Jiseong Noh & Jong Soo Kim & Biswajit Sarkar, 2019. "Two-echelon supply chain coordination with advertising-driven demand under Stackelberg game policy," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 13(2), pages 213-244.
    26. Ruihai Li & Jinn-Tsair Teng & Yingfei Zheng, 2019. "Optimal credit term, order quantity and selling price for perishable products when demand depends on selling price, expiration date, and credit period," Annals of Operations Research, Springer, vol. 280(1), pages 377-405, September.
    27. Mohsen Lashgari & Ata Allah Taleizadeh & Abbas Ahmadi, 2016. "Partial up-stream advanced payment and partial down-stream delayed payment in a three-level supply chain," Annals of Operations Research, Springer, vol. 238(1), pages 329-354, March.
    28. Diwakar Gupta & Lei Wang, 2009. "A Stochastic Inventory Model with Trade Credit," Manufacturing & Service Operations Management, INFORMS, vol. 11(1), pages 4-18, November.
    29. J-T Teng, 2002. "On the economic order quantity under conditions of permissible delay in payments," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(8), pages 915-918, August.
    30. Hsieh, Chung-Chi & Lu, Yu-Ting, 2010. "Manufacturer's return policy in a two-stage supply chain with two risk-averse retailers and random demand," European Journal of Operational Research, Elsevier, vol. 207(1), pages 514-523, November.
    31. Ata Allah Taleizadeh & Mahsa Noori-daryan & Kannan Govindan, 2016. "Pricing and ordering decisions of two competing supply chains with different composite policies: a Stackelberg game-theoretic approach," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2807-2836, May.
    32. Vandana, & Kaur, Arshinder, 2019. "Two-level trade credit with default risk in the supply chain under stochastic demand," Omega, Elsevier, vol. 88(C), pages 4-23.
    33. Jianxin Chen & Yong-Wu Zhou, 2017. "A Risk-Averse Newsvendor Model Under Trade Credit Contract with CVaR," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(03), pages 1-20, June.
    34. Zhang, Qinhong & Dong, Ming & Luo, Jianwen & Segerstedt, Anders, 2014. "Supply chain coordination with trade credit and quantity discount incorporating default risk," International Journal of Production Economics, Elsevier, vol. 153(C), pages 352-360.
    35. Xiangfeng Chen & Anyu Wang, 2012. "Trade credit contract with limited liability in the supply chain with budget constraints," Annals of Operations Research, Springer, vol. 196(1), pages 153-165, July.
    36. Lee, Chang Hwan & Rhee, Byong-Duk, 2011. "Trade credit for supply chain coordination," European Journal of Operational Research, Elsevier, vol. 214(1), pages 136-146, October.
    37. 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.
    38. Panos Kouvelis & Wenhui Zhao, 2012. "Financing the Newsvendor: Supplier vs. Bank, and the Structure of Optimal Trade Credit Contracts," Operations Research, INFORMS, vol. 60(3), pages 566-580, June.
    39. Ata Allah Taleizadeh & Sara Tavassoli & Arijit Bhattacharya, 2020. "Inventory ordering policies for mixed sale of products under inspection policy, multiple prepayment, partial trade credit, payments linked to order quantity and full backordering," Annals of Operations Research, Springer, vol. 287(1), pages 403-437, April.
    40. Ullah, Mehran & Sarkar, Biswajit, 2020. "Recovery-channel selection in a hybrid manufacturing-remanufacturing production model with RFID and product quality," International Journal of Production Economics, Elsevier, vol. 219(C), pages 360-374.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ling Zhao & Anquan Zou & Minghua Xiong & Jun Liu, 2023. "Supply Chain Performance with a Downside-Risk-Averse Retailer and Strategic Customers," Sustainability, MDPI, vol. 15(4), pages 1-18, February.
    2. 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.
    3. Xu, Xinsheng & Ji, Ping & Sang, Shuming, 2023. "Supply option purchasing decisions via mismatch cost minimization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 260-280.
    4. 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.
    5. Hu, Chaoming & Wan, Zhao Man & Zhu, Saihua & Wan, Zhong, 2022. "An integrated stochastic model and algorithm for constrained multi-item newsvendor problems by two-stage decision-making approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 280-300.
    6. Irfanullah Khan & Biswajit Sarkar, 2021. "Transfer of Risk in Supply Chain Management with Joint Pricing and Inventory Decision Considering Shortages," Mathematics, MDPI, vol. 9(6), pages 1-20, March.
    7. 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.
    8. Wang, Qiang & Wu, Jie & Zhao, Nenggui, 2022. "Optimal operational policies of a dual-channel supply chain considering return service," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 414-437.

    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. Jinpyo Lee, 2019. "Impact of Loss-Aversion on a Financially-Constrained Supply Chain," Sustainability, MDPI, vol. 11(9), pages 1-19, May.
    2. Xu, Xinhan & Chen, Xiangfeng & Jia, Fu & Brown, Steve & Gong, Yu & Xu, Yifan, 2018. "Supply chain finance: A systematic literature review and bibliometric analysis," International Journal of Production Economics, Elsevier, vol. 204(C), pages 160-173.
    3. Seifert, Daniel & Seifert, Ralf W. & Protopappa-Sieke, Margarita, 2013. "A review of trade credit literature: Opportunities for research in operations," European Journal of Operational Research, Elsevier, vol. 231(2), pages 245-256.
    4. Ping Ruan & Yung-Fu Huang & Ming-Wei Weng, 2022. "Impact of COVID-19 on Supply Chains: A Hybrid Trade Credit Policy," Mathematics, MDPI, vol. 10(8), pages 1-22, April.
    5. Lin Feng & Konstantina Skouri & Wan-Chih Wang & Jinn-Tsair Teng, 2022. "Optimal selling price, replenishment cycle and payment time among advance, cash, and credit payments from the seller’s perspective," Annals of Operations Research, Springer, vol. 315(2), pages 791-812, August.
    6. Yan Shi & Zhiyong Zhang & Sunil Tiwari & Zhiwen Tao, 2022. "Retailer's optimal strategy for a perishable product with increasing demand under various payment schemes," Annals of Operations Research, Springer, vol. 315(2), pages 899-929, August.
    7. Taleizadeh, Ata Allah & Tafakkori, Keivan & Thaichon, Park, 2021. "Resilience toward supply disruptions: A stochastic inventory control model with partial backordering under the base stock policy," Journal of Retailing and Consumer Services, Elsevier, vol. 58(C).
    8. 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.
    9. 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.
    10. Feng, Lin & Wang, Wan-Chih & Teng, Jinn-Tsair & Cárdenas-Barrón, Leopoldo Eduardo, 2022. "Pricing and lot-sizing decision for fresh goods when demand depends on unit price, displaying stocks and product age under generalized payments," European Journal of Operational Research, Elsevier, vol. 296(3), pages 940-952.
    11. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2012. "Risk tolerance and a retailer's pricing and ordering policies within a newsvendor framework," Omega, Elsevier, vol. 40(2), pages 188-198, April.
    12. Shi, Jinzhao & Guo, Ju'e & Du, Qiang & Lin, Feng & Lai, Kin Keung & Cheng, T.C.E., 2020. "Optimal financing mode selection for a capital-constrained retailer under an implicit bankruptcy cost," International Journal of Production Economics, Elsevier, vol. 228(C).
    13. Tsao, Yu-Chung, 2019. "Coordinating contracts under default risk control-based trade credit," International Journal of Production Economics, Elsevier, vol. 212(C), pages 168-175.
    14. Xiao, Shuang & Sethi, Suresh P. & Liu, Mengqi & Ma, Shihua, 2017. "Coordinating contracts for a financially constrained supply chain," Omega, Elsevier, vol. 72(C), pages 71-86.
    15. Jin, Wei & Zhang, Qinhong & Luo, Jianwen, 2019. "Non-collaborative and collaborative financing in a bilateral supply chain with capital constraints," Omega, Elsevier, vol. 88(C), pages 210-222.
    16. Yonit Barron, 2022. "A probabilistic approach to the stochastic fluid cash management balance problem," Annals of Operations Research, Springer, vol. 312(2), pages 607-645, May.
    17. Rath, Sambit Brata & Basu, Preetam & Mandal, Prasenjit & Paul, Samit, 2021. "Financing models for an online seller with performance risk in an E-commerce marketplace," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 155(C).
    18. Zhou, Yong-Wu & Li, Jicai & Zhong, Yuanguang, 2018. "Cooperative advertising and ordering policies in a two-echelon supply chain with risk-averse agents," Omega, Elsevier, vol. 75(C), pages 97-117.
    19. 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.
    20. Li, Yanhai & Gu, Chaocheng & Ou, Jinwen, 2020. "Supporting a financially constrained supplier under spectral risk measures: The efficiency of buyer lending," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).

    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:eee:matcom:v:182:y:2021:i:c:p:353-365. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.