A characterization of α-maximin solutions of fair division problems

✍ Scribed by Nobusumi Sagara

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 224 KB
• Volume: 55
• Category: Article
• ISSN: 0165-4896
• DOI: 10.1016/j.mathsocsci.2007.09.007

✦ Synopsis

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 σ-algebra. We show that if utility functions of individuals satisfy continuity from below and strict monotonicity, then positive Pareto optimality is equivalent to α-maximin optimality for some α in the unit simplex and Pareto-optimal α-equitability is equivalent to α-maximin optimality. These characterizations are novel in the literature.