A ham sandwich theorem for general measures
type: Item
instance of: scholarly article
title: A ham sandwich theorem for general measures
zbMATH Open document ID: 0555.28001
DOI: 10.1007/BF00297061
author: D. Kharzeev
published in: Social Choice and Welfare
publication date: 1984-01-01T00:00:00Z
review text: The ''ham sandwich'' theorem has been proven only for measures that are absolutely continuous with respect to Lebesgue measure. After noting some uses of the ham sandwich approach in the study of majority rule voting, we prove a generalized version of the ham sandwich theorem which is applicable to arbitrary finite measures, and give some sufficient conditions for uniqueness of the hyperplane identified by the theorem.
Mathematics Subject Classification ID: 28A12
Mathematics Subject Classification ID: 91B14
Mathematics Subject Classification ID: 28A15
zbMATH DE Number: 3884413
zbMATH Keywords: social choice
zbMATH Keywords: voting
zbMATH Keywords: absolutely continuous with respect to Lebesgue measure
zbMATH Keywords: ham sandwich theorem
zbMATH Keywords: arbitrary finite measures
MaRDI profile type: Publication
cites work: Q3931648
cites work: How to Cut A Cake Fairly
cites work: Intermediate Preferences and the Majority Rule
cites work: A Note about the "Nowhere Denseness" of Societies Having an Equilibrium under Majority Rule
cites work: Generic Instability of Majority Rule
cites work: Generic properties of simple Bergson-Samuelson welfare functions
cites work: Sur la division des ensembles de l'espace par les plans et des ensembles plans par les cercles
cites work: Generalized ''sandwich'' theorems
description: scientific article; zbMATH DE number 3884413