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Inventory games with permissible delay in payments

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  • Li, Jun
  • Feng, Hairong
  • Zeng, Yinlian

Abstract

Meca et al. (2004) studied a class of inventory games which arise when a group of retailers who observe demand for a common item decide to cooperate and make joint orders with the EOQ policy. In this paper, we extend their model to the situation where retailer’s delay in payments is permitted by the supplier. We introduce the corresponding inventory game with permissible delay in payments, and prove that its core is nonempty. Then, a core allocation rule is proposed which can be reached through population monotonic allocation scheme. Under this allocation rule, the grand coalition is shown to be stable from a farsighted point of view.

Suggested Citation

  • Li, Jun & Feng, Hairong & Zeng, Yinlian, 2014. "Inventory games with permissible delay in payments," European Journal of Operational Research, Elsevier, vol. 234(3), pages 694-700.
  • Handle: RePEc:eee:ejores:v:234:y:2014:i:3:p:694-700
    DOI: 10.1016/j.ejor.2013.11.008
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    2. Feng, Hairong & Zeng, Yinlian & Cai, Xiaoqiang & Qian, Qian & Zhou, Yongwu, 2021. "Altruistic profit allocation rules for joint replenishment with carbon cap-and-trade policy," European Journal of Operational Research, Elsevier, vol. 290(3), pages 956-967.
    3. Longfei He & Han Gao & Xiao Zhang & Qinpeng Wang & Chenglin Hu, 2018. "Optimal Replenishment for Perishable Products with Inventory-Dependent Demand and Backlogging under Continuous and Discrete Progressive Payments," Sustainability, MDPI, vol. 10(10), pages 1-22, October.
    4. Luo, Chunlin & Zhou, Xiaoyang & Lev, Benjamin, 2022. "Core, shapley value, nucleolus and nash bargaining solution: A Survey of recent developments and applications in operations management," Omega, Elsevier, vol. 110(C).

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