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A note on coalitional manipulation and centralized inventory management

Author

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  • M. Mosquera
  • I. García-Jurado
  • M. Fiestras-Janeiro

Abstract

In this note we deal with inventory games as defined in Meca et al. (Math. Methods Oper. Res. 57:483–491, 2003 ). In that context we introduce the property of immunity to coalitional manipulation, and demonstrate that the SOC-rule (Share the Ordering Cost) is the unique allocation rule for inventory games which satisfies this property. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • M. Mosquera & I. García-Jurado & M. Fiestras-Janeiro, 2008. "A note on coalitional manipulation and centralized inventory management," Annals of Operations Research, Springer, vol. 158(1), pages 183-188, February.
    • Handle: RePEc:spr:annopr:v:158:y:2008:i:1:p:183-188:10.1007/s10479-007-0240-y
    DOI: 10.1007/s10479-007-0240-y
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    References listed on IDEAS

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    1. Ana Meca & Ignacio García-Jurado & Peter Borm, 2003. "Cooperation and competition in inventory games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 57(3), pages 481-493, August.
    2. Heuvel, Wilco van den & Borm, Peter & Hamers, Herbert, 2007. "Economic lot-sizing games," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1117-1130, January.
    3. Biung-Ghi Ju, 2003. "Manipulation via merging and splitting in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 205-215, October.
    4. Bruce C. Hartman & Moshe Dror, 1996. "Cost allocation in continuous‐review inventory models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 549-561, June.
    5. M. Angeles de Frutos, 1999. "Coalitional manipulations in a bankruptcy problem," Review of Economic Design, Springer;Society for Economic Design, vol. 4(3), pages 255-272.
    6. 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.
    7. 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.
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    Cited by:

    1. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "The proportional Shapley value and applications," Games and Economic Behavior, Elsevier, vol. 108(C), pages 93-112.
    2. Feng, Hairong & Zeng, Yinlian & Cai, Xiaoqiang & Qian, Qian & Zhou, Yongwu, 2021. "Altruistic profit allocation rules for joint replenishment with carbon cap-and-trade policy," European Journal of Operational Research, Elsevier, vol. 290(3), pages 956-967.
    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. M. Fiestras-Janeiro & I. García-Jurado & A. Meca & M. Mosquera, 2012. "Cost allocation in inventory transportation systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(2), pages 397-410, July.
    5. 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.

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