Determining a Fair Border
NOTE: At the time of publication, the author Theodore P. Hill was not yet affiliated with Cal Poly.
In a general class of measure-partitioning or fair-division problems, the extremal case occurs when the measures are proportional. Applications are given to classical and recent fair-division problems, and to statistical decision theory.
Theodore P. Hill. "Determining a Fair Border" The American Mathematical Monthly 90.7 (1983): 438-442.
Available at: http://works.bepress.com/tphill/58