How to obtain a range of a nonatomic vector measure in R2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Legut, Jerzy¹  Wilczynski, Maciej¹ 

[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

关键词: Range of vector measure;    Lyapounov convexity theorem;    Neyman-Pearson lemma;    Cake cutting problem;    Fair division;    Optimal partitioning;    Pareto principle;   

DOI  :  10.1016/j.jmaa.2012.04.062

来源: Elsevier

【 摘 要 】

Using the Neyman-Pearson lemma we give a method for effecting a range of two nonatomic probability measures. We use this result to find an optimal partition in the cake division problem. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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