Universität zu Köln

Garcia-Segarra, Jaume and Gines-Vilar, Miguel (2023). Additive adjudication of conflicting claims. Int. J. Game Theory, 52 (1). S. 93 - 117. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1270

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Abstract

In a claims problem (O'Neill 1982), a group of individuals have claims on a resource but its endowment is not sufficient to honour all of the claims. We examine the following question: If a claims problem can be decomposed into smaller claims problems, can the solutions of these smaller problems be added to obtain the solution of the original problem? A natural condition for this decomposition is that the solution to each of the smaller problems is non-degenerate, assigning positive awards to each claimant. We identify the only consistent and endowment monotonic adjudication rules satisfying this property; they are generalizations of the canonical constrained equal losses rule sorting claimants into priority classes and distributing the amount available to each class using a weighted constrained equal losses rule. The constrained equal losses rule is the only symmetric rule in this family of rules.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Garcia-Segarra, Jaume UNSPECIFIED UNSPECIFIED UNSPECIFIED Gines-Vilar, Miguel UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-665239
DOI:	10.1007/s00182-022-00811-6
Journal or Publication Title:	Int. J. Game Theory
Volume:	52
Number:	1
Page Range:	S. 93 - 117
Date:	2023
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1432-1270
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language GAME-THEORETIC ANALYSIS; BANKRUPTCY PROBLEMS; TAXATION PROBLEMS; RULES Multiple languages Economics; Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods; Statistics & Probability Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66523