Non-proportional inequality preservation in gains and losses

Yoichi Kasajima and Rodrigo Velez

Journal of Mathematical Economics, 2010, vol. 46, issue 6, 1079-1092

Abstract: 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.

Keywords: Claims; problems; Minimal; award; functions; Proportional; rule; Lorenz; domination; Inequality; preservation (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:46:y:2010:i:6:p:1079-1092

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