From Bargaining Solutions to Claims Rules: A Proportional Approach

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Title: From Bargaining Solutions to Claims Rules: A Proportional Approach
Authors: Giménez Gómez, José Manuel | Osório, António | Peris, Josep E.
Research Group/s: Métodos Cuantitativos para la Economía
Center, Department or Service: Universidad de Alicante. Departamento de Métodos Cuantitativos y Teoría Económica
Keywords: Bargaining problem | Conflicting claims problem | Proportionality | Bargaining solutions | Claims rules
Knowledge Area: Fundamentos del Análisis Económico
Issue Date: 5-Mar-2015
Publisher: MDPI
Citation: Giménez-Gómez J-M, Osório A, Peris JE. From Bargaining Solutions to Claims Rules: A Proportional Approach. Games. 2015, 6(1): 32-38. doi:10.3390/g6010032
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.
Sponsor: Financial support from Universitat Rovira i Virgili, Banco Santander and Generalitat de Catalunya under project 2011LINE-06, Ministerio de Ciencia e Innovación under project ECO2011-24200 and from the Spanish Ministry of Economy and Competitiveness under project ECO2013-43119 are gratefully acknowledged.
ISSN: 2073-4336
DOI: 10.3390/g6010032
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2015 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (
Peer Review: si
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