Optimal partitioning of a measurable space into countably many sets

DOI10.1007/BF01198174zbMath0685.60001OpenAlexW2156063635MaRDI QIDQ1826190

Jerzy Legut, Maciej Wilczyński

Publication date: 1990

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198174

zbMATH Keywords

optimal partitionstatistical decision theorynonatomic probability measures

Mathematics Subject Classification ID

Axioms; other general questions in probability (60A05)

Related Items (2)

How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\) ⋮ On totally balanced games arising from cooperation in fair division

Cites Work

• The problem of fair division for countably many participants
• Fair division of a measurable space
• Direct factorizations of measures
• Relations among certain ranges of vector measures
• Inequalities for α-Optimal Partitioning of a Measurable Space
• Optimal-Partitioning Inequalities for Nonatomic Probability Measures
• Optimal Partitioning of a Measurable Space
• How to Cut A Cake Fairly
• Mathematical methods of game and economic theory
• Quelques théorèmes sur les mesures

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