Optimal Partitioning of a Measurable Space

DOI10.2307/2047498zbMath0656.90108OpenAlexW4252956390MaRDI QIDQ3804485

Maciej Wilczyński, Jerzy Legut

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047498

zbMATH Keywords

minimax theoremfair divisionnonatomic probability measures\(\alpha\)-optimal partition of a measurable space

Mathematics Subject Classification ID

Minimax procedures in statistical decision theory (62C20) Vector-valued set functions, measures and integrals (28B05) Decision theory for games (91A35)

Related Items (11)

Maximin share and minimax envy in fair-division problems. ⋮ How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\) ⋮ A characterization of \(\alpha \)-maximin solutions of fair division problems ⋮ On totally balanced games arising from cooperation in fair division ⋮ Finding maxmin allocations in cooperative and competitive fair division ⋮ The Dubins-Spanier optimization problem in fair division theory ⋮ Bounds for \(\alpha\)-optimal partitioning of a measurable space based on several efficient partitions ⋮ How to obtain an equitable optimal fair division ⋮ Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues ⋮ Optimal Fair Division for Measures with Piecewise Linear Density Functions ⋮ Optimal partitioning of a measurable space into countably many sets

Cites Work

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

This page was built for publication: Optimal Partitioning of a Measurable Space