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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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    References listed on IDEAS

    as
    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
    2. Ozen, U. & Fransoo, J. & Norde, H.W. & Slikker, M., 2004. "Cooperation between Multiple Newsvendors with Warehouses," Other publications TiSEM 92a91731-8bec-4c7b-a4bf-7, Tilburg University, School of Economics and Management.
    3. Borm, Peter & Fiestras-Janeiro, Gloria & Hamers, Herbert & Sanchez, Estela & Voorneveld, Mark, 2002. "On the convexity of games corresponding to sequencing situations with due dates," European Journal of Operational Research, Elsevier, vol. 136(3), pages 616-634, February.
    4. Herbert Hamers & Flip Klijn & Bas Velzen, 2005. "On the Convexity of Precedence Sequencing Games," Annals of Operations Research, Springer, vol. 137(1), pages 161-175, July.
    5. Peter Borm & Herbert Hamers & Ruud Hendrickx, 2001. "Operations research games: A survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 9(2), pages 139-199, December.
    6. Daniel Granot & Greys Sošić, 2003. "A Three-Stage Model for a Decentralized Distribution System of Retailers," Operations Research, INFORMS, vol. 51(5), pages 771-784, October.
    7. Khouja, Moutaz J., 2000. "Optimal ordering, discounting, and pricing in the single-period problem," International Journal of Production Economics, Elsevier, vol. 65(2), pages 201-216, April.
    8. 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.
    9. 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.
    10. 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.
    11. Daniel Granot & Jeroen Kuipers & Sunil Chopra, 2002. "Cost Allocation for a Tree Network with Heterogeneous Customers," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 647-661, November.
    12. Jan A. Van Mieghem & Nils Rudi, 2002. "Newsvendor Networks: Inventory Management and Capacity Investment with Discretionary Activities," Manufacturing & Service Operations Management, INFORMS, vol. 4(4), pages 313-335, August.
    13. Hartman, Bruce C. & Dror, Moshe & Shaked, Moshe, 2000. "Cores of Inventory Centralization Games," Games and Economic Behavior, Elsevier, vol. 31(1), pages 26-49, April.
    14. Özler, Aysun & Tan, BarIs & Karaesmen, Fikri, 2009. "Multi-product newsvendor problem with value-at-risk considerations," International Journal of Production Economics, Elsevier, vol. 117(2), pages 244-255, February.
    15. Montrucchio, Luigi & Scarsini, Marco, 2007. "Large newsvendor games," Games and Economic Behavior, Elsevier, vol. 58(2), pages 316-337, February.
    16. Ozen, U. & Fransoo, J. & Norde, H.W. & Slikker, M., 2004. "Cooperation between Multiple Newsvendors with Warehouses," Discussion Paper 2004-34, Tilburg University, Center for Economic Research.
    17. 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.
    18. Ichiishi, Tatsuro, 1981. "Super-modularity: Applications to convex games and to the greedy algorithm for LP," Journal of Economic Theory, Elsevier, vol. 25(2), pages 283-286, October.
    19. Zhou, Yan-ju & Chen, Xiao-hong & Wang, Zong-run, 2008. "Optimal ordering quantities for multi-products with stochastic demand: Return-CVaR model," International Journal of Production Economics, Elsevier, vol. 112(2), pages 782-795, April.
    20. 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.
    21. Herbert Hamers & Flip Klijn & Bas van Velzen, 2002. "On Games corresponding to Sequencing Situations with Precedence Relations," UFAE and IAE Working Papers 553.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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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. David Ryz'ak & Martin v{C}ern'y, 2024. "Stochastic cooperative games of risk averse players and application to multiple newsvendors problem," Papers 2410.19002, arXiv.org.
    4. 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.
    5. 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.
    6. 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.
    7. Xin Chen, 2009. "Inventory Centralization Games with Price-Dependent Demand and Quantity Discount," Operations Research, INFORMS, vol. 57(6), pages 1394-1406, December.
    8. 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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