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Equilibria in a competitive model arising from linear production situations with a common-pool resource

Author

Listed:
  • E. Gutiérrez

    (University Miguel Hernández of Elche)

  • N. Llorca

    (University Miguel Hernández of Elche)

  • J. Sánchez-Soriano

    (University Miguel Hernández of Elche)

  • M. A. Mosquera

    (University of Vigo)

Abstract

In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer can attain depends on the amount of common-pool resource obtained through a certain procedure. We contemplate a competitive process among the producers and study the corresponding non-cooperative games, describing their (strict) Nash equilibria in pure strategies. It is shown that strict Nash equilibria form a subset of strong Nash equilibria, which in turn form a proper subset of Nash equilibria.

Suggested Citation

  • E. Gutiérrez & N. Llorca & J. Sánchez-Soriano & M. A. Mosquera, 2017. "Equilibria in a competitive model arising from linear production situations with a common-pool resource," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 394-401, July.
    • Handle: RePEc:spr:topjnl:v:25:y:2017:i:2:d:10.1007_s11750-017-0438-3
    DOI: 10.1007/s11750-017-0438-3
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    References listed on IDEAS

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    1. Tijs, S.H. & Timmer, J.B. & Llorca, N. & Sánchez-Soriano, J., 2000. "The Owen Set and the Core of Semi-Infinite Linear Production Situations," Discussion Paper 2000-49, Tilburg University, Center for Economic Research.
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    Cited by:

    1. Gutiérrez, E. & Llorca, N. & Sánchez-Soriano, J. & Mosquera, M., 2018. "Sustainable allocation of greenhouse gas emission permits for firms with Leontief technologies," European Journal of Operational Research, Elsevier, vol. 269(1), pages 5-15.
    2. Elisabeth Gutierrez & Natividad Llorca & Manuel Mosquera & Joaquin Sanchez-Soriano, 2019. "On horizontal cooperation in linear production processes with a supplier that controls a limited resource," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(2), pages 169-196, October.
    3. 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.

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    More about this item

    Keywords

    Linear production situations; Common-pool resource; Nash equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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