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The Ordering Optimization Model for Bounded Rational Retailer with Inventory Transshipment

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  • Qingren He

    (School of Economics and Management, Beihang University, Beijing 100191, China
    School of Management, Guizhou University, Huaxi Road, Guiyang 550025, China)

  • Taiwei Shi

    (School of Management, Guizhou University, Huaxi Road, Guiyang 550025, China)

  • Botao Liu

    (School of Management, Guizhou University, Huaxi Road, Guiyang 550025, China)

  • Wanhua Qiu

    (School of Economics and Management, Beihang University, Beijing 100191, China)

Abstract

In order to study retailers’ ordering behavior deviating from the standard theoretical optimal decision, which is caused by retailers’ information asymmetry, cognitive ability, insufficient computing ability, and other factors, we construct a bounded-rationality choice model with quantal response equilibrium. First, the existence and uniqueness of quantal response equilibrium of transshipment game have been proved with the transshipment price satisfying certain conditions. Then, the numerical example demonstrates that with the increase of bounded-rationality parameters, retailers’ quantal response equilibrium will converge to Nash equilibrium due to the learning effect, and their profits will converge to the profits predicted by standard theory. Finally, the results show that retailers are more averse to the explicit loss of shortage than to the implicit loss of inventory surplus caused by the increase of order quantity. Hence, retailers tend to overorder to avoid loss of shortage.

Suggested Citation

  • Qingren He & Taiwei Shi & Botao Liu & Wanhua Qiu, 2022. "The Ordering Optimization Model for Bounded Rational Retailer with Inventory Transshipment," Mathematics, MDPI, vol. 10(7), pages 1-16, March.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1079-:d:781077
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    References listed on IDEAS

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    1. Anil Kukreja & Charles P. Schmidt & David M. Miller, 2001. "Stocking Decisions for Low-Usage Items in a Multilocation Inventory System," Management Science, INFORMS, vol. 47(10), pages 1371-1383, October.
    2. Eran Hanany & Michal Tzur & Alon Levran, 2010. "The transshipment fund mechanism: Coordinating the decentralized multilocation transshipment problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(4), pages 342-353, June.
    3. AJ A. Bostian & Charles A. Holt & Angela M. Smith, 2008. "Newsvendor "Pull-to-Center" Effect: Adaptive Learning in a Laboratory Experiment," Manufacturing & Service Operations Management, INFORMS, vol. 10(4), pages 590-608, July.
    4. Villa, Sebastián & Castañeda, Jaime Andrés, 2018. "Transshipments in supply chains: A behavioral investigation," European Journal of Operational Research, Elsevier, vol. 269(2), pages 715-729.
    5. Meng Li & Nicholas C. Petruzzi & Jun Zhang, 2017. "Overconfident Competing Newsvendors," Management Science, INFORMS, vol. 63(8), pages 2637-2646, August.
    6. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    7. Paterson, Colin & Kiesmüller, Gudrun & Teunter, Ruud & Glazebrook, Kevin, 2011. "Inventory models with lateral transshipments: A review," European Journal of Operational Research, Elsevier, vol. 210(2), pages 125-136, April.
    8. Shan Li & Kay‐Yut Chen, 2020. "The Commitment Conundrum of Inventory Sharing," Production and Operations Management, Production and Operations Management Society, vol. 29(2), pages 353-370, February.
    9. Nils Rudi & Sandeep Kapur & David F. Pyke, 2001. "A Two-Location Inventory Model with Transshipment and Local Decision Making," Management Science, INFORMS, vol. 47(12), pages 1668-1680, December.
    10. Longsheng Sun & Mark H. Karwan & Changhyun Kwon, 2018. "Generalized Bounded Rationality and Robust Multicommodity Network Design," Operations Research, INFORMS, vol. 66(1), pages 42-57, 1-2.
    11. Bhavani Shanker Uppari & Sameer Hasija, 2019. "Modeling Newsvendor Behavior: A Prospect Theory Approach," Manufacturing & Service Operations Management, INFORMS, vol. 21(3), pages 481-500, July.
    12. Ziteng Wang & Yue Dai & Shu‐Cherng Fang & Zhong‐Zhong Jiang & Yifan Xu, 2020. "Inventory transshipment game with limited supply: Trap or treat," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 383-403, September.
    13. 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.
    14. Dehghani, Maryam & Abbasi, Babak & Oliveira, Fabricio, 2021. "Proactive transshipment in the blood supply chain: A stochastic programming approach," Omega, Elsevier, vol. 98(C).
    15. Kevin B. Hendricks & Vinod R. Singhal, 2009. "Demand-Supply Mismatches and Stock Market Reaction: Evidence from Excess Inventory Announcements," Manufacturing & Service Operations Management, INFORMS, vol. 11(3), pages 509-524, September.
    16. Xuanming Su, 2008. "Bounded Rationality in Newsvendor Models," Manufacturing & Service Operations Management, INFORMS, vol. 10(4), pages 566-589, May.
    17. Naderi, Siamak & Kilic, Kemal & Dasci, Abdullah, 2020. "A deterministic model for the transshipment problem of a fast fashion retailer under capacity constraints," International Journal of Production Economics, Elsevier, vol. 227(C).
    18. Gary D. Eppen, 1979. "Note--Effects of Centralization on Expected Costs in a Multi-Location Newsboy Problem," Management Science, INFORMS, vol. 25(5), pages 498-501, May.
    19. Ying Rong & Lawrence V. Snyder & Yang Sun, 2010. "Inventory sharing under decentralized preventive transshipments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(6), pages 540-562, September.
    20. Samuel Nathan Kirshner & Anton Ovchinnikov, 2019. "Heterogeneity of Reference Effects in the Competitive Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 21(3), pages 571-581, July.
    21. Colin Camerer, 1998. "Bounded Rationality in Individual Decision Making," Experimental Economics, Springer;Economic Science Association, vol. 1(2), pages 163-183, September.
    22. Yinghao Zhang & Enno Siemsen, 2019. "A Meta‐Analysis of Newsvendor Experiments: Revisiting the Pull‐to‐Center Asymmetry," Production and Operations Management, Production and Operations Management Society, vol. 28(1), pages 140-156, January.
    23. Shan Li & Kay-Yut Chen & Ying Rong, 2020. "The Behavioral Promise and Pitfalls in Compensating Store Managers," Management Science, INFORMS, vol. 66(10), pages 4899-4919, October.
    24. Jovan Grahovac & Amiya Chakravarty, 2001. "Sharing and Lateral Transshipment of Inventory in a Supply Chain with Expensive Low-Demand Items," Management Science, INFORMS, vol. 47(4), pages 579-594, April.
    25. Jialu Li & Meng Li & Xuan Zhao, 2021. "Transshipment Between Overconfident Newsvendors," Production and Operations Management, Production and Operations Management Society, vol. 30(9), pages 2803-2813, September.
    26. Steven A. Lippman & Kevin F. McCardle, 1997. "The Competitive Newsboy," Operations Research, INFORMS, vol. 45(1), pages 54-65, February.
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