A characterization of \(\alpha \)-maximin solutions of fair division problems

DOI10.1016/j.mathsocsci.2007.09.007zbMath1152.91434OpenAlexW2080914712MaRDI QIDQ930002

Nobusumi Sagara

Publication date: 19 June 2008

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mathsocsci.2007.09.007

zbMATH Keywords

Pareto optimalityfair divisionnonatomic probability space\(\alpha \)-equitability\(\alpha \)-maximin optimalitynonadditive set function

Mathematics Subject Classification ID

Utility theory (91B16)

Related Items (5)

Continuity of Choquet Integrals of Supermodular Capacities ⋮ A new class of convex games on \(\sigma\)-algebras and the optimal partitioning of measurable spaces ⋮ How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\) ⋮ Existence of efficient envy-free allocations of a heterogeneous divisible commodity with nonadditive utilities ⋮ Representation of preference relations on \(\sigma \)-algebras of nonatomic measure spaces: convexity and continuity

Cites Work

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• Children crying at birthday parties. Why?
• Fair division of a measurable space
• An equilibrium existence theorem
• On the fair division of a heterogeneous commodity
• Maximin share and minimax envy in fair-division problems.
• Super envy-free cake division and independence of measures
• Relations among certain ranges of vector measures
• The Price Equilibrium Existence Problem in Topological Vector Lattices
• Optimal Partitioning of a Measurable Space
• How to Cut A Cake Fairly
• The Dubins-Spanier optimization problem in fair division theory

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