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Inventory Centralization Games with Price-Dependent Demand and Quantity Discount

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  • Xin Chen

    (Department of Industrial and Enterprise Systems Engineering, University of Illinois at Urbana--Champaign, Urbana, Illinois 61801)

Abstract

Consider a distribution system consisting of a set of retailers facing a single-period price-dependent demand of a single product. By taking advantage of the risk-pooling effect and the quantity/volume discount provided by suppliers or third-party carriers, the retailers may place joint orders and keep inventory at central warehouses before demand realization, and allocate inventory among themselves after demand realization to reduce their operating costs. Under rather general assumptions, we prove that there is a stable allocation of profits among the retailers in the sense that the resulting inventory centralization game has a nonempty core. We also show how to compute an allocation in the core.

Suggested Citation

  • Xin Chen, 2009. "Inventory Centralization Games with Price-Dependent Demand and Quantity Discount," Operations Research, INFORMS, vol. 57(6), pages 1394-1406, December.
    • Handle: RePEc:inm:oropre:v:57:y:2009:i:6:p:1394-1406
    DOI: 10.1287/opre.1080.0615
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    References listed on IDEAS

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    Cited by:

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    2. Xin Chen & Jiawei Zhang, 2009. "A Stochastic Programming Duality Approach to Inventory Centralization Games," Operations Research, INFORMS, vol. 57(4), pages 840-851, August.
    3. Vernon N. Hsu & Guoming Lai & Baozhuang Niu & Wenqiang Xiao, 2017. "Leader-Based Collective Bargaining: Cooperation Mechanism and Incentive Analysis," Manufacturing & Service Operations Management, INFORMS, vol. 19(1), pages 72-83, February.
    4. Guajardo, Mario & Rönnqvist, Mikael, 2015. "Operations research models for coalition structure in collaborative logistics," European Journal of Operational Research, Elsevier, vol. 240(1), pages 147-159.
    5. Xin Chen & Zhisong Chen, 2013. "Cost allocation of capacity investment games," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(6), pages 512-523, September.
    6. Xiong‐zhi Wang & Guo‐qing Wang, 2019. "Integrating dynamic pricing and inventory control for fresh‐agri product under consumer choice," Australian Economic Papers, Wiley Blackwell, vol. 58(1), pages 96-111, March.
    7. M Dror & B C Hartman, 2011. "Survey of cooperative inventory games and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 565-580, April.
    8. Behzad Hezarkhani & Greys Sošić, 2019. "Who’s Afraid of Strategic Behavior? Mechanisms for Group Purchasing," Production and Operations Management, Production and Operations Management Society, vol. 28(4), pages 933-954, April.
    9. Jose A. García-Martínez & Ana Meca & G. Alexander Vergara, 2022. "Cooperative Purchasing with General Discount: A Game Theoretical Approach," Mathematics, MDPI, vol. 10(22), pages 1-20, November.
    10. Xin Chen & Sean X. Zhou & Youhua (Frank) Chen, 2011. "Integration of Inventory and Pricing Decisions with Costly Price Adjustments," Operations Research, INFORMS, vol. 59(5), pages 1144-1158, October.
    11. Lindong Liu & Xiangtong Qi & Zhou Xu, 2016. "Computing Near-Optimal Stable Cost Allocations for Cooperative Games by Lagrangian Relaxation," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 687-702, November.
    12. Lu, Liang & Qi, Xiangtong & Liu, Zhixin, 2014. "On the cooperation of recycling operations," European Journal of Operational Research, Elsevier, vol. 233(2), pages 349-358.
    13. Perera, Sandun & Janakiraman, Ganesh & Niu, Shun-Chen, 2017. "Optimality of (s, S) policies in EOQ models with general cost structures," International Journal of Production Economics, Elsevier, vol. 187(C), pages 216-228.

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