How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\)
type: Item
instance of: scholarly article
title: How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\)
zbMATH Open document ID: 1254.60008
author: Jerzy Legut
author: Maciej Wilczyński
published in: Journal of Mathematical Analysis and Applications
publication date: 2012-08-01T00:00:00Z
review text: The authors use the Neyman-Pearson lemma to find an explicit relationship for the boundary of a two dimensional Lyapunov set and give a method for finding a range of two nonatomic probability measures. They use this result to find an optimal partition in the cake division problem.
reviewed by: Kun Soo Chang
Mathematics Subject Classification ID: 60A10
Mathematics Subject Classification ID: 60A99
zbMATH DE Number: 6062804
zbMATH Keywords: range of vector measure
zbMATH Keywords: Lyapunov convexity theorem
zbMATH Keywords: Neyman-Pearson lemma
zbMATH Keywords: cake cutting problem
zbMATH Keywords: fair division
zbMATH Keywords: optimal partitioning
zbMATH Keywords: Pareto principle
MaRDI profile type: Publication
full work available at URL: j.jmaa.2012.04.062
OpenAlex ID: W1988555684
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DOI: 10.1016/J.JMAA.2012.04.062
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description: scientific article; zbMATH DE number 6062804