A Proportionality Principle for Partitioning ProblemsProceedings of the American Mathematical Society
AbstractIn 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, mathematical physics, Banach space theory, and inequalities for continuous random variables.
Citation InformationTheodore P. Hill. "A Proportionality Principle for Partitioning Problems" Proceedings of the American Mathematical Society Vol. 108 Iss. 1 (1988) p. 288 - 293
Available at: http://works.bepress.com/tphill/36/