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Competition and Cooperation in Non-Centralized Linear Production Games

Author

Listed:
  • Francisco Fernández
  • MarÍa Fiestras-Janeiro
  • Ignacio GarcÍa-Jurado
  • Justo Puerto

Abstract

In this paper we analyze how to improve the benefits of n producers when: (1) each producer i faces a linear production problem given by max {c i x i :A i x i ≤ b i ,x i 0}, and (2) maintaining the production capabilities of each producer is mandatory. In order to maximize the benefits, the producers decide to trade their resources while ensuring their initial individual gains. We study the games which describe this non-centralized linear production situation when players do not cooperate (section two), when players cooperate and side payments are possible (section three), and when players cooperate and side payments are not possible (section four). Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Francisco Fernández & MarÍa Fiestras-Janeiro & Ignacio GarcÍa-Jurado & Justo Puerto, 2005. "Competition and Cooperation in Non-Centralized Linear Production Games," Annals of Operations Research, Springer, vol. 137(1), pages 91-100, July.
    • Handle: RePEc:spr:annopr:v:137:y:2005:i:1:p:91-100:10.1007/s10479-005-2247-6
    DOI: 10.1007/s10479-005-2247-6
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    References listed on IDEAS

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    1. Feltkamp, V., 1993. "Linear Production with Transport of Products, Resources and Technology," Other publications TiSEM 1be68aec-c0ef-492b-a3f5-3, Tilburg University, School of Economics and Management.
    2. Feltkamp, V. & Koster, A. & Van Den Nouweland, A. & Borm, P. & Tijs, S., 1993. "Linear Production with Transport of Products, Resources and Technology," Papers 9332, Tilburg - Center for Economic Research.
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    Cited by:

    1. Ichiro Nishizaki & Tomohiro Hayashida & Shinya Sekizaki & Kenta Tanaka, 2023. "Averaged dual solution for linear production games and its characterization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(2), pages 523-555, June.
    2. Phuoc Hoang Le & Tri-Dung Nguyen & Tolga Bektaş, 2020. "Efficient computation of the Shapley value for large-scale linear production games," Annals of Operations Research, Springer, vol. 287(2), pages 761-781, April.
    3. Ichiro Nishizaki & Tomohiro Hayashida & Yuki Shintomi, 2016. "A core-allocation for a network restricted linear production game," Annals of Operations Research, Springer, vol. 238(1), pages 389-410, March.
    4. Ichiro Nishizaki & Tomohiro Hayashida & Shinya Sekizaki & Kojiro Furumi, 2023. "A two-stage linear production planning model with partial cooperation under stochastic demands," Annals of Operations Research, Springer, vol. 320(1), pages 293-324, January.
    5. Ichiro Nishizaki & Tomohiro Hayashida & Yuki Shintomi, 2016. "A core-allocation for a network restricted linear production game," Annals of Operations Research, Springer, vol. 238(1), pages 389-410, March.
    6. Borrero, D.V. & Hinojosa, M.A. & Mármol, A.M., 2016. "DEA production games and Owen allocations," European Journal of Operational Research, Elsevier, vol. 252(3), pages 921-930.
    7. Corberán, Ángel & Landete, Mercedes & Peiró, Juanjo & Saldanha-da-Gama, Francisco, 2020. "The facility location problem with capacity transfers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 138(C).
    8. Jinshi Cheng & Bengang Gong & Bangyi Li, 2018. "Cooperation strategy of technology licensing based on evolutionary game," Annals of Operations Research, Springer, vol. 268(1), pages 387-404, September.

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