Title of article :
How to obtain a range of a nonatomic vector measure in
Author/Authors :
Legut، نويسنده , , Jerzy and Wilczy?ski، نويسنده , , Maciej، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Abstract :
Using the Neyman–Pearson lemma we give a method for effecting a range of two nonatomic probability measures. We use this result to find an optimal partition in the cake division problem.
Keywords :
Neyman–Pearson lemma , Cake cutting problem , Lyapounov convexity theorem , Pareto principle , Fair Division , Optimal partitioning , Range of vector measure
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications