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Non-proportional inequality preservation in gains and losses

  • Kasajima, Yoichi
  • Velez, Rodrigo A.

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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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 46 (2010)
Issue (Month): 6 (November)
Pages: 1079-1092

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Handle: RePEc:eee:mateco:v:46:y:2010:i:6:p:1079-1092
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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