Non-proportional inequality preservation in gains and losses

Abstract We characterize the family of claims-inequality and claims-order preserving continuous rules in the three-agent case for the problem of adjudicating conflicting claims. We show that there are infinitely many of such rules and provide a simple geometric construction that spans the whole family. Additionally, we prove that this family endowed with the partial order of Lorenz domination is a lattice that has maximal and minimal elements.

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Year of publication:	2010
Authors:	Kasajima, Yoichi ; Velez, Rodrigo A.
Published in:	Journal of Mathematical Economics. - Elsevier, ISSN 0304-4068. - Vol. 46.2010, 6, p. 1079-1092
Publisher:	Elsevier
Keywords:	Claims problems Minimal award functions Proportional rule Lorenz domination Inequality preservation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008870900