A proportionality principle for partitioning problems

Theodore P. Hill
1988 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-1988-0938685-8 fatcat:ptodieamgrev5ckrbpkk7ovgcy