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Inventory Games with Quantity Discount

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Abstract

Meca, et al. (2004) studied a class of inventory games which arise when a group of retailers who observe demand for a common good decide to cooperate and make joint orders. In this paper, the authors extend their model to the situation where the manufacturer provides the retailers with a price discount on purchases in excess of a certain order quantity. The authors define the corresponding inventory game with quantity discount, and show that the inventory game has a nonempty core. Then, the authors propose a core allocation rule, the demand-proportionality rule, and characterize it by introducing efficiency, the retailer splitting property and continuity.

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Correspondence to Genjiu Xu.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 72071159, 71671140 and 71601156.

This paper was recommended for publication by Editor CAO Zhigang.

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Li, W., Xu, G. & Su, J. Inventory Games with Quantity Discount. J Syst Sci Complex 34, 1538–1554 (2021). https://doi.org/10.1007/s11424-021-9235-z

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  • DOI: https://doi.org/10.1007/s11424-021-9235-z

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