Non-proportional inequality preservation in gains and losses Academic Article

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. 2010 Elsevier B.V.

authors

• Velez, Rodrigo

published proceedings

• JOURNAL OF MATHEMATICAL ECONOMICS

author list (cited authors)

• Kasajima, Y., & Velez, R. A.

citation count

• 5

complete list of authors

• Kasajima, Yoichi||Velez, Rodrigo A

publication date

• November 2010

publisher

• Elsevier  Publisher

published in

• Journal of Mathematical Economics  Journal

keywords

• Claims Problems
• Inequality Preservation
• Lorenz Domination
• Minimal Award Functions
• Proportional Rule

Digital Object Identifier (DOI)

• 10.1016/j.jmateco.2010.08.009

start page

• 1079

end page

• 1092

volume

• 46

issue

• 6

URL

• http://dx.doi.org/10.1016/j.jmateco.2010.08.009

user-defined tag

• 10 Reduced Inequalities