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Games 2015, 6(1), 32-38; doi:10.3390/g6010032

From Bargaining Solutions to Claims Rules: A Proportional Approach

1
Universitat Rovira i Virgili, Departament d'Economia and CREIP, Av. Universitat 1, Reus 43204, Spain
2
Universitat d'Alacant, Departament de Mètodes Quantitatius i Teoria Econòmica, Alacant 03080, Spain
*
Author to whom correspondence should be addressed.
Academic Editor: Bahar Leventoglu
Received: 19 November 2014 / Revised: 30 January 2015 / Accepted: 18 February 2015 / Published: 5 March 2015
(This article belongs to the Special Issue Bargaining Games)
View Full-Text   |   Download PDF [280 KB, uploaded 5 March 2015]

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. View Full-Text
Keywords: bargaining problem; conflicting claims problem; proportionality; bargaining solutions; claims rules bargaining problem; conflicting claims problem; proportionality; bargaining solutions; claims rules
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Giménez-Gómez, J.-M.; Osório, A.; Peris, J.E. From Bargaining Solutions to Claims Rules: A Proportional Approach. Games 2015, 6, 32-38.

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