Optimal partitioning of a measurable space

Legut, Jerzy; Wilczyński, Maciej

doi:10.1090/S0002-9939-1988-0958079-9

Optimal partitioning of a measurable space
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by Jerzy Legut and Maciej Wilczyński PDF

Proc. Amer. Math. Soc. 104 (1988), 262-264 Request permission

Abstract:

An $\alpha$-optimal partition of a measurable space according to $n$ nonatomic probability measures is defined. A minmax theorem is used to find a method of obtaining the $\alpha$-optimal partition. An application to a problem of fair division is given.

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Sur le probleme du partage pragmatique de H. Steinhaus

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Optimal partitioning inequalities for nonatomic finite measures