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Recognizing One-Dimensional Euclidean Preference Profiles

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Author Info
Vicki Knoblauch (University of Connecticut)

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Abstract

A preference profile has a one-dimensional Euclidean representation if it can be derived from an arrangement of individuals and alternatives on a line, with each individual preferring the nearer of each pair of alternatives. We provide a polynomial-time algorithm that determines whether a given preference profile has a one-dimensional Euclidean representation and, if so, constructs one. This result has electoral and mechanism design applications.

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File URL: http://www.econ.uconn.edu/working/2008-52.pdf
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Publisher Info
Paper provided by University of Connecticut, Department of Economics in its series Working papers with number 2008-52.

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Length: 14 pages
Date of creation: 2008
Date of revision:
Handle: RePEc:uct:uconnp:2008-52

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Postal: University of Connecticut 341 Mansfield Road, Unit 1063 Storrs, CT 06269-1063
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Web page: http://www.econ.uconn.edu/
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Related research
Keywords: spatial elections; preference representation; mechanism design;

Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior

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This page was last updated on 2009-12-2.

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