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: 2023-08-05
Papper version: info:eu-repo/semantics/publishedVersion
Licence document URL: http://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
Repositori URV