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The Owen Set and the Core of Semi-Infinite Linear Production Situations

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  • Tijs, S.H.

    (Tilburg University, Center For Economic Research)

  • Timmer, J.B.
  • Llorca, N.
  • Sánchez-Soriano, J.

Abstract

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Suggested Citation

  • 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.
    • Handle: RePEc:tiu:tiucen:c28286c5-deeb-4e8a-b8dd-c372f48f574f
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    References listed on IDEAS

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    1. J. Timmer & P. Borm & J. Suijs, 2000. "Linear Transformation of Products: Games and Economies," Journal of Optimization Theory and Applications, Springer, vol. 105(3), pages 677-706, June.
    2. Vito Fragnelli & Fioravante Patrone & Enrico Sideri & Stef Tijs, 1999. "Balanced games arising from infinite linear models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 50(3), pages 385-397, December.
    3. Judith Timmer & Stef Tijs & Natividad Llorca, 2000. "Games Arising From Infinite Production Situations," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 97-105.
    4. Timmer, J.B. & Tijs, S.H. & Llorca, N., 2000. "Games arising from infinite production situations," Other publications TiSEM 37ccd02a-35e7-4069-a2df-6, Tilburg University, School of Economics and Management.
    5. van Gellekom, J. R. G. & Potters, J. A. M. & Reijnierse, J. H. & Engel, M. C. & Tijs, S. H., 2000. "Characterization of the Owen Set of Linear Production Processes," Games and Economic Behavior, Elsevier, vol. 32(1), pages 139-156, July.
    6. Dov Samet & Eitan Zemel, 1984. "On the Core and Dual Set of Linear Programming Games," Mathematics of Operations Research, INFORMS, vol. 9(2), pages 309-316, May.
    7. Tijs, S.H., 1979. "Semi-infinite linear programs and semi-infinite matrix games," Other publications TiSEM 3e08d5e1-de1d-45b2-81b3-3, Tilburg University, School of Economics and Management.
    8. Tijs, S.H. & van Gellekom, J.R.G. & Potters, J.A.M. & Reijnierse, J.H. & Engel, M.C., 2000. "Characterization of the Owen set of linear production processes," Other publications TiSEM bdf0c618-e9f1-496a-b977-0, Tilburg University, School of Economics and Management.
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    Citations

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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. Hennet, Jean-Claude & Mahjoub, Sonia, 2010. "Toward the fair sharing of profit in a supply network formation," International Journal of Production Economics, Elsevier, vol. 127(1), pages 112-120, September.
    3. 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.
    4. 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.
    5. Fuentes González, Fabián & Sauma, Enzo & van der Weijde, Adriaan Hendrik, 2022. "Community energy projects in the context of generation and transmission expansion planning," Energy Economics, Elsevier, vol. 108(C).

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    More about this item

    Keywords

    cooperative games; linear production; core; duality gap;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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