IDEAS home Printed from https://ideas.repec.org/p/tiu/tiucen/8c732445-5aa9-445f-9564-4d4d2c13bb6c.html
   My bibliography  Save this paper

Cooperative Multicriteria Games with Public and Private Criteria : An Investigation of Core Concepts

Author

Listed:
  • Voorneveld, M.

    (Tilburg University, Center For Economic Research)

  • van den Nouweland, C.G.A.M.

Abstract

A new class of cooperative multicriteria games is introduced which takes into account two different types of criteria: private criteria, which correspond to divisible and excludable goods, and public criteria, which in an allocation take the same value for each coalition member. The different criteria are not condensed by means of a utility function, but left in their own right. Moreover, the games considered are not single-valued, but each coalition can realize a set of vectors representing the outcomes of each of the criteria depending on several alternatives. Two core concepts are defined: the core and the dominance outcome core. The relation between the two concepts is studied and the core is axiomatized by means of consistency properties.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Voorneveld, M. & van den Nouweland, C.G.A.M., 1998. "Cooperative Multicriteria Games with Public and Private Criteria : An Investigation of Core Concepts," Discussion Paper 1998-62, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:8c732445-5aa9-445f-9564-4d4d2c13bb6c
    as

    Download full text from publisher

    File URL: https://repository.tilburguniversity.edu/bitstreams/1e63ff53-46f5-49d4-8e03-f264a0b01a6c/download
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    2. Peleg, Bezalel, 1985. "An axiomatization of the core of cooperative games without side payments," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 203-214, April.
    3. Norde, Henk & Potters, Jos & Reijnierse, Hans & Vermeulen, Dries, 1996. "Equilibrium Selection and Consistency," Games and Economic Behavior, Elsevier, vol. 12(2), pages 219-225, February.
    4. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    5. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    6. Peleg, B, 1987. "On the Reduced Game Property and Its Converse: A Correction," International Journal of Game Theory, Springer;Game Theory Society, vol. 16(4), pages 290-290.
    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. Hinojosa, M. A. & Marmol, A. M. & Thomas, L. C., 2005. "Core, least core and nucleolus for multiple scenario cooperative games," European Journal of Operational Research, Elsevier, vol. 164(1), pages 225-238, July.

    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. Voorneveld, M. & van den Nouweland, C.G.A.M., 1998. "Cooperative Multicriteria Games with Public and Private Criteria : An Investigation of Core Concepts," Other publications TiSEM 8c732445-5aa9-445f-9564-4, Tilburg University, School of Economics and Management.
    2. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    3. Gonzalez, Stéphane & Lardon, Aymeric, 2021. "Axiomatic foundations of the core for games in effectiveness form," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 28-38.
    4. Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
    5. Anne van den Nouweland & Myrna H. Wooders & S. Tijs, 2002. "Axiomatization of ratio equilibria in public good economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 627-636.
    6. Serrano, Roberto & Volij, Oscar, 1998. "Axiomatizations of neoclassical concepts for economies," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 87-108, August.
    7. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    8. Dequiedt, Vianney & Zenou, Yves, 2017. "Local and consistent centrality measures in parameterized networks," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 28-36.
    9. Peleg, Bezalel & Sudholter, Peter, 1997. "An Axiomatization of Nash Equilibria in Economic Situations," Games and Economic Behavior, Elsevier, vol. 18(2), pages 277-285, February.
    10. Voorneveld, Mark, 2004. "Preparation," Games and Economic Behavior, Elsevier, vol. 48(2), pages 403-414, August.
    11. Stéphane Gonzalez & Aymeric Lardon, 2018. "Axiomatic Foundations of a Unifying Concept of the Core of Games in Effectiveness Form," GREDEG Working Papers 2018-15, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    12. Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
    13. Voorneveld, Mark, 2019. "An axiomatization of the Nash equilibrium concept," Games and Economic Behavior, Elsevier, vol. 117(C), pages 316-321.
    14. Stéphane Gonzalez & Aymeric Lardon, 2018. "Axiomatic Foundations of a Unifying Core," Working Papers 1817, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    15. Stéphane Gonzalez & Aymeric Lardon, 2021. "Axiomatic foundations of the core for games in effectiveness form," Post-Print hal-04797842, HAL.
    16. Suijs, J.P.M. & Hamers, H.J.M. & Tijs, S.H., 1995. "On consistency of reward allocation rules in sequencing situations," Other publications TiSEM f4745bac-fd51-4006-9321-d, Tilburg University, School of Economics and Management.
    17. Lee, Darin & Volij, Oscar, 2002. "The core of economies with asymmetric information: an axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 43-63, September.
    18. Florian Brandl & Felix Brandt, 2023. "A Robust Characterization of Nash Equilibrium," Papers 2307.03079, arXiv.org, revised Jun 2024.
    19. Werner Güth, 2002. "On the Inconsistency of Equilibrium Refinement," Theory and Decision, Springer, vol. 53(4), pages 371-392, December.
    20. Zenou, Yves & ,, 2014. "Local and Consistent Centrality Measures in Networks," CEPR Discussion Papers 10031, C.E.P.R. Discussion Papers.

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:8c732445-5aa9-445f-9564-4d4d2c13bb6c. 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.