How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\) (Q439239)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\) |
scientific article; zbMATH DE number 6062804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\) |
scientific article; zbMATH DE number 6062804 |
Statements
How to obtain a range of a nonatomic vector measure in \(\mathbb R^2\) (English)
0 references
1 August 2012
0 references
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.
0 references
range of vector measure
0 references
Lyapunov convexity theorem
0 references
Neyman-Pearson lemma
0 references
cake cutting problem
0 references
fair division
0 references
optimal partitioning
0 references
Pareto principle
0 references
0 references
0.8516462
0 references
0 references
0 references
0.8307335
0 references
0.82319534
0 references
