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Resource allocations with guaranteed awards in claims problems

  • Identification data

    Identifier: imarina:9281097
    Authors:
    Giménez-Gómez, José-ManuelPeris, Josep E.Solís-Baltodano, María-José
    Abstract:
    The notion of lower bound on awards has been introduced in the literature to analyze the establishment of guarantees that ensure a minimum award to each agent involved in situations of conflicting claims, such as the rationing of a resource or the distribution of the assets of a bankrupt firm. Indeed, this concept has a core role in many approaches related to the problem of fair allocation (Thomson in Math Soc Sci 74:41–59, 2015) and a range of such lower bounds have been proposed: the minimal right (Curiel et al. in Z Oper Res 31:A143–A159, 1987), the fair bound (Moulin in Handb Soc Choice Welf 1:289–357, 2002), securement (Moreno-Ternero and Villar in Math Soc Sci 47(2):245–257, 2004) and the $$\min $$ min bound (Dominguez in mimeo, 2006). In this context, the key contribution of the current paper is to show that there is a correspondence between lower bounds and rules; i.e., associated to each particular lower bound, we find a specific way of distributing the resources. In doing so, we provide new characterizations for two well known rules, the constrained equal awards and Ibn Ezra’s rules. A dual analysis, by using upper bounds on awards will provide characterizations of the dual of the previously mentioned rules: the constrained equal losses rule and the dual of Ibn Ezra’s rule.
  • Others:

    Author, as appears in the article.: Giménez-Gómez, José-Manuel; Peris, Josep E.; Solís-Baltodano, María-José
    Department: Economia
    URV's Author/s: Giménez Gómez, José Manuel / SOLÍS BALTODANO, MARÍA JOSÉ
    Keywords: Lower bounds Ibn ezra’s rule Guarantees Game-theoretic analysis Duality Constrained equal awards rule Claims problem taxation problems lower bounds ibn ezra's rule guarantees duality constrained equal awards rule bankruptcy
    Abstract: The notion of lower bound on awards has been introduced in the literature to analyze the establishment of guarantees that ensure a minimum award to each agent involved in situations of conflicting claims, such as the rationing of a resource or the distribution of the assets of a bankrupt firm. Indeed, this concept has a core role in many approaches related to the problem of fair allocation (Thomson in Math Soc Sci 74:41–59, 2015) and a range of such lower bounds have been proposed: the minimal right (Curiel et al. in Z Oper Res 31:A143–A159, 1987), the fair bound (Moulin in Handb Soc Choice Welf 1:289–357, 2002), securement (Moreno-Ternero and Villar in Math Soc Sci 47(2):245–257, 2004) and the $$\min $$ min bound (Dominguez in mimeo, 2006). In this context, the key contribution of the current paper is to show that there is a correspondence between lower bounds and rules; i.e., associated to each particular lower bound, we find a specific way of distributing the resources. In doing so, we provide new characterizations for two well known rules, the constrained equal awards and Ibn Ezra’s rules. A dual analysis, by using upper bounds on awards will provide characterizations of the dual of the previously mentioned rules: the constrained equal losses rule and the dual of Ibn Ezra’s rule.
    Thematic Areas: General economics,econometrics and finance Economics, econometrics and finance (miscellaneous) Economics, econometrics and finance (all) Economics Ciencias sociales
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: josemanuel.gimenez@urv.cat
    Author identifier: 0000-0003-0202-4623
    Record's date: 2024-08-03
    Papper version: info:eu-repo/semantics/publishedVersion
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Papper original source: Review Of Economic Design. 27 (3): 1-22
    APA: Giménez-Gómez, José-Manuel; Peris, Josep E.; Solís-Baltodano, María-José (2023). Resource allocations with guaranteed awards in claims problems. Review Of Economic Design, 27(3), 1-22. DOI: 10.1007/s10058-022-00310-w
    Article's DOI: 10.1007/s10058-022-00310-w
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2023
    Publication Type: Journal Publications
  • Keywords:

    Economics,Economics, Econometrics and Finance (Miscellaneous)
    Lower bounds
    Ibn ezra’s rule
    Guarantees
    Game-theoretic analysis
    Duality
    Constrained equal awards rule
    Claims problem
    taxation problems
    lower bounds
    ibn ezra's rule
    guarantees
    duality
    constrained equal awards rule
    bankruptcy
    General economics,econometrics and finance
    Economics, econometrics and finance (miscellaneous)
    Economics, econometrics and finance (all)
    Economics
    Ciencias sociales
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