{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:22:49Z","timestamp":1760242969982,"version":"build-2065373602"},"reference-count":16,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2015,3,5]],"date-time":"2015-03-05T00:00:00Z","timestamp":1425513600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Games"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/g6010032","type":"journal-article","created":{"date-parts":[[2015,3,5]],"date-time":"2015-03-05T10:43:07Z","timestamp":1425552187000},"page":"32-38","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["From Bargaining Solutions to Claims Rules: A Proportional Approach"],"prefix":"10.3390","volume":"6","author":[{"given":"Jos\u00e9-Manuel","family":"Gim\u00e9nez-G\u00f3mez","sequence":"first","affiliation":[{"name":"Universitat Rovira i Virgili, Departament d'Economia and CREIP, Av. Universitat 1, Reus 43204, Spain"}]},{"given":"Ant\u00f3nio","family":"Os\u00f3rio","sequence":"additional","affiliation":[{"name":"Universitat Rovira i Virgili, Departament d'Economia and CREIP, Av. Universitat 1, Reus 43204, Spain"}]},{"given":"Josep","family":"Peris","sequence":"additional","affiliation":[{"name":"Universitat d'Alacant, Departament de M\u00e8todes Quantitatius i Teoria Econ\u00f2mica, Alacant 03080, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2015,3,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/0165-4896(88)90009-1","article-title":"The proportional solution for rights problem","volume":"15","author":"Chun","year":"1988","journal-title":"Math. Soc. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/S0165-4896(02)00070-7","article-title":"Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: A survey","volume":"45","author":"Thomson","year":"2003","journal-title":"Math. Soc. Sci."},{"key":"ref_3","unstructured":"Young, P. (1994). Equity in Theory and Practice, Princeton University Press."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/0165-4896(82)90029-4","article-title":"A problem of rights arbitration from the Talmud","volume":"2","year":"1982","journal-title":"Math. Soc. Sci."},{"key":"ref_5","unstructured":"Malkevitch, J. (2012). Resolving Bankruptcy Claims. Feature Column from the AMS."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"155","DOI":"10.2307\/1907266","article-title":"The bargaining problem","volume":"18","author":"Nash","year":"1950","journal-title":"Econometrica"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/0165-4896(93)90024-D","article-title":"The bankruptcy problem: A cooperative bargaining approach","volume":"26","author":"Dagan","year":"1993","journal-title":"Math. Soc. 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