Decomposing bivariate dominance for social welfare comparisons

Tina Gottschalk Marling, Troels Martin Range, Peter Sudhölter*, Lars Peter Østerdal

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The principal dominance concept for inequality-averse multidimensional social welfare comparisons, commonly known as lower orthant dominance, entails less or equal mass on all lower hyperrectangles of outcomes. Recently, it was shown that bivariate lower orthant dominance can be characterized in terms of two elementary mass transfer operations: diminishing mass transfer (reducing welfare) and correlation-increasing switches (increasing inequality). In this paper we provide a constructive algorithm, which decomposes the mass transfers into such welfare reductions and inequality increases.

Original languageEnglish
JournalMathematical Social Sciences
Volume95
Pages (from-to)1-8
ISSN0165-4896
DOIs
Publication statusPublished - 2018

Fingerprint

Mass Transfer
Welfare
social welfare
welfare
Diminishing
Switch
Decompose
Social welfare
Welfare comparisons

Cite this

@article{dbabac59bc384828817cdc1671dd4126,
title = "Decomposing bivariate dominance for social welfare comparisons",
abstract = "The principal dominance concept for inequality-averse multidimensional social welfare comparisons, commonly known as lower orthant dominance, entails less or equal mass on all lower hyperrectangles of outcomes. Recently, it was shown that bivariate lower orthant dominance can be characterized in terms of two elementary mass transfer operations: diminishing mass transfer (reducing welfare) and correlation-increasing switches (increasing inequality). In this paper we provide a constructive algorithm, which decomposes the mass transfers into such welfare reductions and inequality increases.",
author = "Marling, {Tina Gottschalk} and Range, {Troels Martin} and Peter Sudh{\"o}lter and {\O}sterdal, {Lars Peter}",
year = "2018",
doi = "10.1016/j.mathsocsci.2018.06.005",
language = "English",
volume = "95",
pages = "1--8",
journal = "Mathematical Social Sciences",
issn = "0165-4896",
publisher = "Heinemann",

}

Decomposing bivariate dominance for social welfare comparisons. / Marling, Tina Gottschalk; Range, Troels Martin; Sudhölter, Peter; Østerdal, Lars Peter.

In: Mathematical Social Sciences, Vol. 95, 2018, p. 1-8.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Decomposing bivariate dominance for social welfare comparisons

AU - Marling, Tina Gottschalk

AU - Range, Troels Martin

AU - Sudhölter, Peter

AU - Østerdal, Lars Peter

PY - 2018

Y1 - 2018

N2 - The principal dominance concept for inequality-averse multidimensional social welfare comparisons, commonly known as lower orthant dominance, entails less or equal mass on all lower hyperrectangles of outcomes. Recently, it was shown that bivariate lower orthant dominance can be characterized in terms of two elementary mass transfer operations: diminishing mass transfer (reducing welfare) and correlation-increasing switches (increasing inequality). In this paper we provide a constructive algorithm, which decomposes the mass transfers into such welfare reductions and inequality increases.

AB - The principal dominance concept for inequality-averse multidimensional social welfare comparisons, commonly known as lower orthant dominance, entails less or equal mass on all lower hyperrectangles of outcomes. Recently, it was shown that bivariate lower orthant dominance can be characterized in terms of two elementary mass transfer operations: diminishing mass transfer (reducing welfare) and correlation-increasing switches (increasing inequality). In this paper we provide a constructive algorithm, which decomposes the mass transfers into such welfare reductions and inequality increases.

U2 - 10.1016/j.mathsocsci.2018.06.005

DO - 10.1016/j.mathsocsci.2018.06.005

M3 - Journal article

VL - 95

SP - 1

EP - 8

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

ER -