On Two New Social Choice Correspondences

P.E.M. Borm; J.R. van den Brink; R. Levinsky; M. Slikker

On Two New Social Choice Correspondences

P.E.M. Borm, J.R. van den Brink, R. Levinsky, M. Slikker

Research output: Working paper › Discussion paper › Other research output

Abstract

Preferences of a set of n individuals over a set of alternatives can be represented by a preference profile being an n-tuple of preference relations over these alternatives.A social choice correspondence assigns to every preference profile a subset of alternatives that can be viewed as the `most prefered' alternatives by the society consisting of all individuals.Two new social choice correspondences are introduced and analyzed.Both are Pareto optimal and are refinements of the well known Top cycle correspondence in case the corresponding simple majority win digraph is a tournament.One of them even is such a refinement for arbitrary preference profiles.

Original language	English
Place of Publication	Tilburg
Publisher	Microeconomics
Number of pages	27
Volume	2000-125
Publication status	Published - 2000

Publication series

Name	CentER Discussion Paper
Volume	2000-125

Keywords

preferences
public choice

Access to Document

125

Cite this

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title = "On Two New Social Choice Correspondences",

abstract = "Preferences of a set of n individuals over a set of alternatives can be represented by a preference profile being an n-tuple of preference relations over these alternatives.A social choice correspondence assigns to every preference profile a subset of alternatives that can be viewed as the `most prefered' alternatives by the society consisting of all individuals.Two new social choice correspondences are introduced and analyzed.Both are Pareto optimal and are refinements of the well known Top cycle correspondence in case the corresponding simple majority win digraph is a tournament.One of them even is such a refinement for arbitrary preference profiles.",

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AU - Borm, P.E.M.

AU - van den Brink, J.R.

AU - Levinsky, R.

AU - Slikker, M.

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PY - 2000

Y1 - 2000

N2 - Preferences of a set of n individuals over a set of alternatives can be represented by a preference profile being an n-tuple of preference relations over these alternatives.A social choice correspondence assigns to every preference profile a subset of alternatives that can be viewed as the `most prefered' alternatives by the society consisting of all individuals.Two new social choice correspondences are introduced and analyzed.Both are Pareto optimal and are refinements of the well known Top cycle correspondence in case the corresponding simple majority win digraph is a tournament.One of them even is such a refinement for arbitrary preference profiles.

AB - Preferences of a set of n individuals over a set of alternatives can be represented by a preference profile being an n-tuple of preference relations over these alternatives.A social choice correspondence assigns to every preference profile a subset of alternatives that can be viewed as the `most prefered' alternatives by the society consisting of all individuals.Two new social choice correspondences are introduced and analyzed.Both are Pareto optimal and are refinements of the well known Top cycle correspondence in case the corresponding simple majority win digraph is a tournament.One of them even is such a refinement for arbitrary preference profiles.

KW - preferences

KW - public choice

M3 - Discussion paper

VL - 2000-125

T3 - CentER Discussion Paper

BT - On Two New Social Choice Correspondences

PB - Microeconomics

CY - Tilburg

ER -