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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
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:
Contact details of provider:
Postal: University of Connecticut 341 Mansfield Road, Unit 1063 Storrs, CT 06269-1063
Phone: (860) 486-4889
Fax: (860) 486-4463
Web page: http://www.econ.uconn.edu/
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.:
- Laslier, J.F., 1995. "Multivariate Analysis of Comparison Matrices," Papers 9504, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- Miguel Ángel Ballester & Guillaume Haeringer, 2006.
"A Characterization of Single-Peaked Preferences,"
273, Barcelona Graduate School of Economics.
- Anna Bogomolnaïa & Jean-François Laslier, 2004.
- Jean-François Laslier, 2003. "Analysing a preference and approval profile," Social Choice and Welfare, Springer, vol. 20(2), pages 229-242, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Kasey Kniffin).
If references are entirely missing, you can add them using this form.