IDEAS home Printed from https://ideas.repec.org/a/wsi/igtrxx/v09y2007i01ns0219198907001266.html
   My bibliography  Save this article

Egalitarian Distributions In Coalitional Models

Author

Listed:
  • J. ARIN

    (Departamento de Fundamentos del Análisis Económico I, University of The Basque Country, Bilbao)

Abstract

The paper presents a framework in which the most important single-valued solutions in the literature of TU games are jointly analyzed. None of the main results is original.

Suggested Citation

  • J. Arin, 2007. "Egalitarian Distributions In Coalitional Models," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 47-57.
  • Handle: RePEc:wsi:igtrxx:v:09:y:2007:i:01:n:s0219198907001266
    DOI: 10.1142/S0219198907001266
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219198907001266
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0219198907001266?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Javier Arin & Jeroen Kuipers & Dries Vermeulen, 2008. "An axiomatic approach to egalitarianism in TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 565-580, December.
    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. Schwarz Mordechai E., 2019. "From Jungle to Civilized Economy: The Power Foundation of Exchange Economy Equilibrium," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 19(2), pages 1-14, June.
    2. José-Manuel Giménez-Gómez, 2014. "A Way to Play Claims Problems," Group Decision and Negotiation, Springer, vol. 23(3), pages 617-627, May.
    3. Giménez-Gómez, José Manuel, 2011. "A way to play bankruptcy problems," Working Papers 2072/169781, Universitat Rovira i Virgili, Department of Economics.
    4. José M. Jiménez Gómez, 2010. "Why people reach intermediate agreements? Axiomatic and strategic justifications," Working Papers. Serie AD 2010-29, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    5. Giménez-Gómez, José-Manuel & Osório, Antonio, 2015. "Why and how to differentiate in claims problems? An axiomatic approach," European Journal of Operational Research, Elsevier, vol. 241(3), pages 842-850.
    6. Pedro Gadea-Blanco & José-Manuel Giménez-Gómez & M. Carmen Marco-Gil, 2016. "Compromising in bifocal distribution games: the average value," Theory and Decision, Springer, vol. 81(3), pages 449-465, September.
    7. Lipschütz Itay & Schwarz Mordechai E., 2020. "Fairness Vs. Economic Efficiency: Lessons from an Interdisciplinary Analysis of Talmudic Bankruptcy Law," Review of Law & Economics, De Gruyter, vol. 16(3), pages 1-38, November.

    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. Hougaard, Jens Leth & Smilgins, Aleksandrs, 2016. "Risk capital allocation with autonomous subunits: The Lorenz set," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 151-157.
    2. Francesc Llerena & Cori Vilella, 2015. "The equity core and the Lorenz-maximal allocations in the equal division core," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 81(2), pages 235-244, April.
    3. Flip Klijn & Dries Vermeulen & Herbert Hamers & Tamás Solymosi & Stef Tijs & Joan Pere Villar, 2003. "Neighbor games and the leximax solution," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 58(2), pages 191-208, November.
    4. Bas Dietzenbacher & Elena Yanovskaya, 2021. "Consistency of the equal split-off set," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 1-22, March.
    5. Dietzenbacher, Bas, 2019. "The Procedural Egalitarian Solution and Egalitarian Stable Games," Other publications TiSEM 6caea8c0-1dcd-4038-88da-b, Tilburg University, School of Economics and Management.
    6. Lee, Joosung & Driessen, Theo S.H., 2012. "Sequentially two-leveled egalitarianism for TU games: Characterization and application," European Journal of Operational Research, Elsevier, vol. 220(3), pages 736-743.
    7. Dietzenbacher, Bas, 2020. "Monotonicity and Egalitarianism (revision of CentER DP 2019-007)," Other publications TiSEM 295f156e-91ad-4177-b61a-1, Tilburg University, School of Economics and Management.
    8. Takanashi, Seiji, 2024. "Analysis of the core under inequality-averse utility functions," Mathematical Social Sciences, Elsevier, vol. 129(C), pages 52-60.
    9. Dietzenbacher, Bas & Yanovskaya, Elena, 2020. "Antiduality in exact partition games," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 116-121.
    10. Takafumi Otsuka, 2020. "Egalitarian solution for games with discrete side payment," Papers 2003.10059, arXiv.org.
    11. Francesc Llerena & Llúcia Mauri, 2016. "Reduced games and egalitarian solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(4), pages 1053-1069, November.
    12. Koster, M.A.L., 1999. "Weighted Constrained Egalitarianism in TU-Games," Other publications TiSEM 783f5a2d-0367-4dd9-b4d6-a, Tilburg University, School of Economics and Management.
    13. Arin Aguirre, Francisco Javier, 2003. "Egalitarian distributions in coalitional models: The Lorenz criterion," IKERLANAK 6503, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    14. Arin, Javier & Kuipers, Jeroen & Vermeulen, Dries, 2003. "Some characterizations of egalitarian solutions on classes of TU-games," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 327-345, December.
    15. Hougaard, Jens Leth & Østerdal, Lars Peter, 2010. "Monotonicity of social welfare optima," Games and Economic Behavior, Elsevier, vol. 70(2), pages 392-402, November.
    16. Llerena Garrés, Francesc & Mauri Masdeu, Llúcia, 2014. "On reduced games and the lexmax solution," Working Papers 2072/237591, Universitat Rovira i Virgili, Department of Economics.
    17. Koster, M.A.L., 1999. "Weighted Constrained Egalitarianism in TU-Games," Discussion Paper 1999-107, Tilburg University, Center for Economic Research.
    18. Dietzenbacher, Bas, 2021. "Monotonicity and egalitarianism," Games and Economic Behavior, Elsevier, vol. 127(C), pages 194-205.
    19. Jens Leth Hougaard & Aleksandrs Smilgins, 2014. "Risk Capital Allocation: The Lorenz Set," MSAP Working Paper Series 03_2014, University of Copenhagen, Department of Food and Resource Economics.

    More about this item

    Keywords

    Coalitional games; egalitarian criteria; prenucleolus; Shapley value; JEL Classification: C71;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

    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:wsi:igtrxx:v:09:y:2007:i:01:n:s0219198907001266. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/igtr/igtr.shtml .

    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.