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Centralizing Inventory in Supply Chains by Using Shapley Value to Allocate the Profits

  • Eda Kemahl{\i}o\u{g}lu-Ziya

    ()

    (Kenan-Flagler Business School, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599-3490)

  • John J. Bartholdi, III

    ()

    (H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

Registered author(s):

    How should the excess profit because of inventory pooling be shared amongst firms at different levels along the supply chain? Suppose each of several retailers observes local demand for a common item and places an order at the supplier, which is immediately filled if the supplier has the item in stock. The supplier can fill retailer orders either from their reserved inventories or from a shareable pool of inventory. Using terminology from cooperative game theory, we say that the supplier and the retailers whose orders are filled from the common pool have formed an inventory-pooling coalition and study the use of Shapley value to allocate the expected excess profit because of pooling. We find that under Shapley value allocations the retailers have incentive to join the inventory-pooling coalition, and the supplier carries the level of inventory that is optimal for the coalition. Shapley value allocations might not lie within the core of the game, but the grand coalition of all players is stable in the farsighted sense. And, although the supplier's share of the expected excess profit is largest when all the retailers participate in the inventory-pooling coalition, the allocations to the retailers may diminish as the coalition grows. Colluding against the supplier (by merging and forming larger retailers) may seem like an appealing strategy for the retailers to increase their share of the total supply chain profit, but we find that the total expected after-pooling profits of retailers may instead go down because of collusion.

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    File URL: http://dx.doi.org/10.1287/msom.1100.0310
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    Article provided by INFORMS in its journal Manufacturing & Service Operations Management.

    Volume (Year): 13 (2011)
    Issue (Month): 2 (September)
    Pages: 146-162

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    Handle: RePEc:inm:ormsom:v:13:y:2011:i:2:p:146-162
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    1. Erica L. Plambeck & Terry A. Taylor, 2007. "Implications of Renegotiation for Optimal Contract Flexibility and Investment," Management Science, INFORMS, vol. 53(12), pages 1872-1886, December.
    2. Ula\c{s} Özen & Jan Fransoo & Henk Norde & Marco Slikker, 2008. "Cooperation Between Multiple Newsvendors with Warehouses," Manufacturing & Service Operations Management, INFORMS, vol. 10(2), pages 311-324, February.
    3. Daniel Granot & Greys So\v{s}i\'{c}, 2005. "Formation of Alliances in Internet-Based Supply Exchanges," Management Science, INFORMS, vol. 51(1), pages 92-105, January.
    4. Lingxiu Dong & Nils Rudi, 2004. "Who Benefits from Transshipment? Exogenous vs. Endogenous Wholesale Prices," Management Science, INFORMS, vol. 50(5), pages 645-657, May.
    5. Gary D. Eppen, 1979. "Note--Effects of Centralization on Expected Costs in a Multi-Location Newsboy Problem," Management Science, INFORMS, vol. 25(5), pages 498-501, May.
    6. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    7. Ravi Anupindi & Yehuda Bassok & Eitan Zemel, 2001. "A General Framework for the Study of Decentralized Distribution Systems," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 349-368, February.
    8. Hui Zhao & Vinayak Deshpande & Jennifer K. Ryan, 2005. "Inventory Sharing and Rationing in Decentralized Dealer Networks," Management Science, INFORMS, vol. 51(4), pages 531-547, April.
    9. Muller, Alfred & Scarsini, Marco & Shaked, Moshe, 2002. "The Newsvendor Game Has a Nonempty Core," Games and Economic Behavior, Elsevier, vol. 38(1), pages 118-126, January.
    10. Jun Zhang, 2005. "Transshipment and Its Impact on Supply Chain Members' Performance," Management Science, INFORMS, vol. 51(10), pages 1534-1539, October.
    11. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    12. Nils Rudi & Sandeep Kapur & David F. Pyke, 2001. "A Two-Location Inventory Model with Transshipment and Local Decision Making," Management Science, INFORMS, vol. 47(12), pages 1668-1680, December.
    13. Slikker, Marco & Fransoo, Jan & Wouters, Marc, 2005. "Cooperation between multiple news-vendors with transshipments," European Journal of Operational Research, Elsevier, vol. 167(2), pages 370-380, December.
    14. Erica L. Plambeck & Terry A. Taylor, 2007. "Implications of Breach Remedy and Renegotiation Design for Innovation and Capacity," Management Science, INFORMS, vol. 53(12), pages 1859-1871, December.
    15. Jing-Sheng Song, 1994. "The Effect of Leadtime Uncertainty in a Simple Stochastic Inventory Model," Management Science, INFORMS, vol. 40(5), pages 603-613, May.
    16. Mahesh Nagarajan & Yehuda Bassok, 2008. "A Bargaining Framework in Supply Chains: The Assembly Problem," Management Science, INFORMS, vol. 54(8), pages 1482-1496, August.
    17. Yang, Hongsuk & Schrage, Linus, 2009. "Conditions that cause risk pooling to increase inventory," European Journal of Operational Research, Elsevier, vol. 192(3), pages 837-851, February.
    18. Erica L. Plambeck & Terry A. Taylor, 2005. "Sell the Plant? The Impact of Contract Manufacturing on Innovation, Capacity, and Profitability," Management Science, INFORMS, vol. 51(1), pages 133-150, January.
    19. Özen, Ulas & Norde, Henk & Slikker, Marco, 2011. "On the convexity of newsvendor games," International Journal of Production Economics, Elsevier, vol. 133(1), pages 35-42, September.
    20. Ravi Anupindi & Yehuda Bassok, 1999. "Centralization of Stocks: Retailers vs. Manufacturer," Management Science, INFORMS, vol. 45(2), pages 178-191, February.
    21. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Choice and Allocation: Strategic Behavior and Supply Chain Performance," Management Science, INFORMS, vol. 45(8), pages 1091-1108, August.
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