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From bargaining solutions to claims rules: A proportional approach

  • Identification data

    Identifier: imarina:5128668
    Authors:
    Giménez-Gómez J, Osório A, Peris J
    Abstract:
    Agents involved in a conflicting claims problem may be concerned with the proportion of their claims that is satisfied, or with the total amount they get. In order to relate both perspectives, we associate to each conflicting claims problem a bargaining-in-proportions set. Then, we obtain a correspondence between classical bargaining solutions and usual claims rules. In particular, we show that the constrained equal losses, the truncated constrained equal losses and the contested garment (Babylonian Talmud) rules can be obtained throughout the Nash bargaining solution. © 2015 by the authors.
  • Others:

    Author, as appears in the article.: Giménez-Gómez J, Osório A, Peris J
    Department: Economia
    URV's Author/s: Giménez Gómez, José Manuel / Osório da Costa, António Miguel
    Keywords: Teoria de jocs Jocs no cooperatius Economía matemática Economia de la informació Claims rules Bargaining problem
    Abstract: Agents involved in a conflicting claims problem may be concerned with the proportion of their claims that is satisfied, or with the total amount they get. In order to relate both perspectives, we associate to each conflicting claims problem a bargaining-in-proportions set. Then, we obtain a correspondence between classical bargaining solutions and usual claims rules. In particular, we show that the constrained equal losses, the truncated constrained equal losses and the contested garment (Babylonian Talmud) rules can be obtained throughout the Nash bargaining solution. © 2015 by the authors.
    Thematic Areas: Statistics, probability and uncertainty Statistics and probability Social sciences, mathematical methods Mathematics, interdisciplinary applications Economics Ciencias sociales Applied mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    ISSN: 20734336
    Author's mail: josemanuel.gimenez@urv.cat antonio.osoriodacosta@urv.cat
    Author identifier: 0000-0003-0202-4623 0000-0003-3376-0164
    Record's date: 2023-04-01
    Papper version: info:eu-repo/semantics/publishedVersion
    Link to the original source: https://www.mdpi.com/2073-4336/6/1/32
    Papper original source: Games. 6 (1): 32-38
    APA: Giménez-Gómez J, Osório A, Peris J (2015). From bargaining solutions to claims rules: A proportional approach. Games, 6(1), 32-38. DOI: 10.3390/g6010032
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Article's DOI: 10.3390/g6010032
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2015
    Publication Type: Journal Publications
  • Keywords:

    Applied Mathematics,Economics,Mathematics, Interdisciplinary Applications,Social Sciences, Mathematical Methods,Statistics and Probability,Statistics, Probability and Uncertainty
    Teoria de jocs
    Jocs no cooperatius
    Economía matemática
    Economia de la informació
    Claims rules
    Bargaining problem
    Statistics, probability and uncertainty
    Statistics and probability
    Social sciences, mathematical methods
    Mathematics, interdisciplinary applications
    Economics
    Ciencias sociales
    Applied mathematics
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