Allocating Pooled Inventory According to Contributions and Entitlements
DOI:
https://doi.org/10.7494/dmms.2015.9.1.51Keywords:
inventory pooling, retailers' contributions, entitlements, Nash equilibriumAbstract
Inventory pooling, whether by centralization of stock or by mutual assistance, is known to be beneficial when demands are uncertain. But when the retailers are independent, the question is how to divide the benefits of pooling. e consider a decentralized inventory-pooling scheme where a retailer’s entitlements to the allocation during a shortage depend on his/her contributions to the pool. We derive the Nash equilibrium and specialize it to symmetric cases.
References
Ben-Zvi N. & Gerchak Y. (2012). Inventory centralization in a newsvendor setting when shortage costs differ: Priorities and costs allocation. In: T.-M. Choi (Ed.), Handbook of Newsvendor Problems: Models, Extensions and Applications. International Series in Operations Research & Management Science, 176, pp. 263–276. New York, NY: Springer. DOI: http://doi.org/10.1007/978-1-4614-3600-3_11.
Cho S.-H. & Tang C.S. (2014). Technical note—Capacity allocation under retail competition: Uniform and competitive allocations. Operations Research, 62(1), pp. 72–80. DOI: http://doi.org/10.1287/opre.2013.1234.
Friedman J.W. (1986). Game Theory with Applications to Economics. New York: Oxford University Press.
Gerchak Y. & Gupta D. (1991). On apportioning costs to customers in centralized continuous review inventory systems. Journal of Operations Management, 10(4), pp. 546–551. DOI: http://doi.org/10.1016/0272-6963(91)90010-U.
Gerchak Y. & Schwartz G. (2018). Supply chain coordination with multiple retailers and nonlinear production costs. International Journal of Operational Research, 32(2), pp. 251–265. DOI: http://doi.org/10.1504/IJOR.2018.092016.
Hartman B.C., Dror M. & Shaked M. (2000). Cores of inventory centralization games. Games and Economic Behavior, 31(1), pp. 26–49. DOI: http://doi.org/10.1006/game.1999.0732.
Montrucchio L., Norde H., Özen U., Scarsini M. & Slikker M. (2012). Cooperative newsvendor games: A review. In: T.-M. Choi (Ed.), Handbook of Newsvendor Problems: Models, Extensions and Applications. International Series in Operations Research & Management Science, 176, pp. 137–162. New York, NY: Springer. DOI: http://doi.org/10.1007/978-1-4614-3600-3_5.
Müller A., Scarsini M. & Shaked M. (2002). The newsvendor game has a nonempty core. Games and Economic Behavior, 38(1), pp. 118–126. DOI: http://doi.org/10.1006/game.2001.0854.
Shao J., Krishnan H. & McCormick S.T. (2011). Incentives for transshipment in a supply chain with decentralized retailers. Manufacturing & Service Operations Management, 13(3), pp. 361–372. DOI: http://doi.org/10.1287/msom.1110.0326.
