"A Proportionality Principle for Partitioning Problems" by Theodore P. Hill
 

Abstract

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, mathematical physics, Banach space theory, and inequalities for continuous random variables.

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URL: https://digitalcommons.calpoly.edu/rgp_rsr/45