IDEAS home Printed from https://ideas.repec.org/p/tiu/tiucen/c28286c5-deeb-4e8a-b8dd-c372f48f574f.html
   My bibliography  Save this paper

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

Author

Listed:
  • Tijs, S.H.

    (Tilburg University, Center For Economic Research)

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

Abstract

No abstract is available for this item.

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
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/ws/portalfiles/portal/535568/49.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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," Other publications TiSEM c28286c5-deeb-4e8a-b8dd-c, Tilburg University, School of Economics and Management.
    2. 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.
    3. Sánchez-Soriano, J. & Llorca, N. & Tijs, S.H. & Timmer, J.B., 2000. "Semi-Infinite Assignment and Transportation Games," Discussion Paper 2000-43, Tilburg University, Center for Economic Research.
    4. Sanchez-Soriano, Joaquin & Llorca, Natividad & Tijs, Stef & Timmer, Judith, 2002. "On the core of semi-infinite transportation games with divisible goods," European Journal of Operational Research, Elsevier, vol. 142(3), pages 463-475, November.
    5. Sánchez-Soriano, J. & Llorca, N. & Tijs, S.H. & Timmer, J.B., 2000. "On the Core of Semi-Infinite Transportation Games with Divisible Goods," Other publications TiSEM 469d59c1-b26f-402e-9cf0-e, Tilburg University, School of Economics and Management.
    6. Sánchez-Soriano, J. & Llorca, N. & Tijs, S.H. & Timmer, J.B., 2000. "Semi-Infinite Assignment and Transportation Games," Other publications TiSEM 87feb522-a153-45e6-b39d-f, Tilburg University, School of Economics and Management.
    7. Timmer, J.B. & Llorca, N. & Tijs, S.H., 1999. "Games Arising from Infinite Production Situations," Discussion Paper 1999-57, Tilburg University, Center for Economic Research.
    8. 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.
    9. 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.
    10. Vito Fragnelli & Gianfranco Gambarelli, 2014. "Further open problems in cooperative games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 51-62.
    11. 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.
    12. 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.
    13. Lozano, S., 2013. "DEA production games," European Journal of Operational Research, Elsevier, vol. 231(2), pages 405-413.
    14. Timmer, J.B. & Llorca, N. & Tijs, S.H., 1999. "Games Arising from Infinite Production Situations," Other publications TiSEM 4573bb7e-7b84-4792-a330-b, Tilburg University, School of Economics and Management.
    15. 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.
    16. 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.
    17. Sanchez-Soriano, Joaquin, 2006. "Pairwise solutions and the core of transportation situations," European Journal of Operational Research, Elsevier, vol. 175(1), pages 101-110, November.
    18. 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.
    19. van Beek, Andries & Malmberg, Benjamin & Borm, Peter & Quant, Marieke & Schouten, Jop, 2021. "Cooperation and Competition in Linear Production and Sequencing Processes," Discussion Paper 2021-011, Tilburg University, Center for Economic Research.
    20. Stefan Wintein & Peter Borm & Ruud Hendrickx & Marieke Quant, 2006. "Multiple Fund Investment Situations and Related Games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 413-426, July.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tiu:tiucen:c28286c5-deeb-4e8a-b8dd-c372f48f574f. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Richard Broekman (email available below). General contact details of provider: http://center.uvt.nl .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.