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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A proportionality principle for partitioning problems


Author: Theodore P. Hill
Journal: Proc. Amer. Math. Soc. 103 (1988), 288-293
MSC: Primary 60E15; Secondary 05A17, 60A10
MathSciNet review: 938685
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0938685-8
PII: S 0002-9939(1988)0938685-8
Keywords: Cake-cutting inequalities, fair-division problems, partitioning problems, proportionality principle, convexity theorem
Article copyright: © Copyright 1988 American Mathematical Society