A Stationary Infinite-Horizon Supply Contract Under Asymmetric Inventory Information
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Journal / Publication | Operations Research |
Online published | 26 Jul 2023 |
Publication status | Online published - 26 Jul 2023 |
Link(s)
DOI | DOI |
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Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(7ad690f9-497e-4f95-a03f-6d473c31a4c7).html |
Abstract
We consider a decentralized supply chain in which a supplier sells goods to a retailer facing general random demand over an infinite horizon. The retailer satisfies the demand to the extent of the inventory on hand. The retailer has private information about the retailer's stock in each period, and the supplier offers the retailer a supply contract menu to account for the information asymmetry. We obtain a necessary condition for optimizing a long-term stationary truth-telling contract under general demand and belief distributions. We apply it to a batch-order contract, which replenishes a prespecified inventory quantity for a fixed payment in each period only when the retailer's beginning inventory becomes zero. Methodologically, we formulate the supplier's contract design as a calculus of variations problem and apply the concept of Ga<SIC>teaux derivative to obtain these results. This methodology can potentially be applied to other dynamic contracting problems.
Research Area(s)
- inventory, mechanism design, calculus of variations, Ga<SIC>teaux derivative, batch-order contract
Citation Format(s)
A Stationary Infinite-Horizon Supply Contract Under Asymmetric Inventory Information. / Bensoussan, Alain; Sethi, Suresh; Wang, Shouqiang.
In: Operations Research, 26.07.2023.
In: Operations Research, 26.07.2023.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review