Allocating Pooled Inventory According to Contributions and Entitlements

Yigal Gerchak


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.

We consider a decentralized inventory pooling scheme where retailers' entitlements to allocation in case of shortage depend on their contributions to the pool. We derive the Nash equilibrium, and specialize it to symmetric cases.


inventory pooling; retailers' contributions; entitlements; Nash equilibrium

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Ben-Zvi, N. and Y. Gerchak (2012). "Inventory Centralization in a Single Period Setting when Shortage Costs Differ: Priority and Costs Allocation", Ch. 11 in Handbook of Newsvendor Problems: Models, Extensions and Applications, J. Choi (ed.), Springer.

Cho, S.-H. and C.S. Tang (2014). "Capacity Allocation under Retail Competition: Uniform and Competitive Allocations". Operations Research, Articles in Advance.

Friedman, J. W. (1984). Game Theory with Applications in Economics, Oxford Univ. Press.

Gerchak, Y. and D. Gupta (1991). "On Apportioning Costs to Customers in Centralized Continuous Review Inventory Systems" Journal of Operations Management, 10, 546-551.

Gerchak, Y. and G. Schwarz (2014). "Supply Chain Coordination with Multiple Rerailers and Non-Linear Production Costs".

Hartman, B.C., M. Dror and M. Shaked (2000). "Cores of Inventory Centralization Games", Games and Economic Behavior, 31, 26-49.

Montruccio, L., H. Norde, U. Őzen, M. Scarsini and M. Slikker (2002). "Cooperative Newsvendor Games: A Review" Ch. 5 in Handbook of Newsvendor Problems, J. Choi, (ed.), Springer.

Műller, A., M., Scarsini and M. Shaked (2002). "The Newsvendor Game has a non-Empty Core", Games and Economic Behavior, 38, 118-126.

Shao, J., H. Krishnan and S. T. McCormick (2011). "Incentives for Transshipment in a Supply Chain with Decentralized Retailers" Manufacturing and Service Operations Management, 13, 361-370.



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