Recognizing One-Dimensional Euclidean Preference Profiles
AbstractA 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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Bibliographic InfoPaper provided by University of Connecticut, Department of Economics in its series Working papers with number 2008-52.
Length: 14 pages
Date of creation: 2008
Date of revision:
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More information through EDIRC
spatial elections; preference representation; mechanism design;
Other versions of this item:
- Knoblauch, Vicki, 2010. "Recognizing one-dimensional Euclidean preference profiles," Journal of Mathematical Economics, Elsevier, vol. 46(1), pages 1-5, January.
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Anna Bogomolnaïa & Jean-François Laslier, 2004.
- Miguel Angel Ballester & Guillaume Haeringer, 2006.
"A Characterization of Single-Peaked Preferences,"
UFAE and IAE Working Papers
656.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Laslier, J.F., 1995. "Multivariate Analysis of Comparison Matrices," Papers 9504, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- Jean-François Laslier, 2003. "Analysing a preference and approval profile," Social Choice and Welfare, Springer, vol. 20(2), pages 229-242, March.
- Jon Eguia, 2013. "On the spatial representation of preference profiles," Economic Theory, Springer, vol. 52(1), pages 103-128, January.
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