A characterization of [alpha]-maximin solutions of fair division problems

Nobusumi Sagara

Mathematical Social Sciences, 2008, vol. 55, issue 3, 273-280

Abstract: This paper investigates the problem of fair division of a measurable space among a finite number of individuals and characterizes some equity concepts when preferences of each individual are represented by a nonadditive set function on a [sigma]-algebra. We show that if utility functions of individuals satisfy continuity from below and strict monotonicity, then positive Pareto optimality is equivalent to [alpha]-maximin optimality for some [alpha] in the unit simplex and Pareto-optimal [alpha]-equitability is equivalent to [alpha]-maximin optimality. These characterizations are novel in the literature.

Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0165-4896(07)00098-4
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:55:y:2008:i:3:p:273-280

Access Statistics for this article

Mathematical Social Sciences is currently edited by J.-F. Laslier

More articles in Mathematical Social Sciences from Elsevier
Bibliographic data for series maintained by Catherine Liu ().