Non-proportional inequality preservation in gains and losses

Yoichi Kasajima; Rodrigo A. Velez

doi:10.1016/j.jmateco.2010.08.009

Non-proportional inequality preservation in gains and losses

Yoichi Kasajima^*, Rodrigo A. Velez

^*Corresponding author for this work

School of Social Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1079-1092
Number of pages	14
Journal	Journal of Mathematical Economics
Volume	46
Issue number	6
DOIs	https://doi.org/10.1016/j.jmateco.2010.08.009
Publication status	Published - 2010 Nov 20

Keywords

Claims problems
Inequality preservation
Lorenz domination
Minimal award functions
Proportional rule

ASJC Scopus subject areas

Economics and Econometrics
Applied Mathematics

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10.1016/j.jmateco.2010.08.009

Cite this

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AU - Velez, Rodrigo A.

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AB - 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.

KW - Claims problems

KW - Inequality preservation

KW - Lorenz domination

KW - Minimal award functions

KW - Proportional rule

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JF - Journal of Mathematical Economics

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ER -

Non-proportional inequality preservation in gains and losses

Abstract

Keywords

ASJC Scopus subject areas

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