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On the Convexity of News Vendor Games

Author

Listed:
  • Ozen, U.
  • Norde, H.W.

    (Tilburg University, Center For Economic Research)

  • Slikker, M.

    (Tilburg University, Center For Economic Research)

Abstract

This study considers a simple newsvendor situation that consists of n retailers, all selling the same item with common purchasing costs and common selling prices. Groups of retailers might increase their expected joint profit by inventory centralization, which means that they make a joint order to satisfy total future demand. The resulting newsvendor games are shown to have non-empty cores in the literature. This study investigates convexity of newsvendor games. We focus our analysis on the class of newsvendor games with independent symmetric unimodal demand distributions after providing several examples outside this class that are not convex. Several interesting subclasses, containing convex games only, are identified. Additionally, we illustrate that these results cannot be extended to all games in this class.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Ozen, U. & Norde, H.W. & Slikker, M., 2005. "On the Convexity of News Vendor Games," Discussion Paper 2005-103, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:2faeeb88-8d0b-4c36-9b08-51fbb51c0798
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    as
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    19. Ulac{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.
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    Cited by:

    1. Xin Chen & Jiawei Zhang, 2009. "A Stochastic Programming Duality Approach to Inventory Centralization Games," Operations Research, INFORMS, vol. 57(4), pages 840-851, August.
    2. Zhanwen Shi & Erbao Cao, 2020. "Contract farming problems and games under yield uncertainty," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 64(4), pages 1210-1238, October.
    3. Fiestras-Janeiro, M.G. & García-Jurado, I. & Meca, A. & Mosquera, M.A., 2011. "Cooperative game theory and inventory management," European Journal of Operational Research, Elsevier, vol. 210(3), pages 459-466, May.
    4. Eda Kemahl{i}ou{g}lu-Ziya & John J. Bartholdi, III, 2011. "Centralizing Inventory in Supply Chains by Using Shapley Value to Allocate the Profits," Manufacturing & Service Operations Management, INFORMS, vol. 13(2), pages 146-162, September.
    5. Özen, Ulaş & Erkip, Nesim & Slikker, Marco, 2012. "Stability and monotonicity in newsvendor situations," European Journal of Operational Research, Elsevier, vol. 218(2), pages 416-425.
    6. Xin Chen, 2009. "Inventory Centralization Games with Price-Dependent Demand and Quantity Discount," Operations Research, INFORMS, vol. 57(6), pages 1394-1406, December.
    7. Hezarkhani, Behzad & Slikker, Marco & Van Woensel, Tom, 2018. "Collaborative replenishment in the presence of intermediaries," European Journal of Operational Research, Elsevier, vol. 266(1), pages 135-146.

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    More about this item

    Keywords

    game theory; inventory centralization; newsvendor; convexity;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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