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Elections and the Representation of Preferences over Infinite Sets

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Author Info
Vicki Knoblauch (Department of Economics, Royal Holloway, University of London)

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Abstract

Voting theory has always focused on mechanism design, but this paper shows that voting theory is also a useful tool in the field of preference representation. Both the lexicographic order on n-dimensional Euclidean space and the threshold of detectable difference relation are pairwise majority voting aggregates of utility functions. Pareto dominance on n-dimensional Euclidean space and the threshold of detectable difference relation are pairwise unanimous voting aggregates of utility functions. Separability conditions are established for voting aggregates, and used to show that the lexicographic order is not a pairwise unanimous voting aggregate of utility functions, and Pareto dominance is not a pairwise majority voting aggregate of utility functions.

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File URL: http://www.rhul.ac.uk/economics/Research/WorkingPapers/pdf/dpe9912.pdf
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Publisher Info
Paper provided by Department of Economics, Royal Holloway University of London in its series Royal Holloway, University of London: Discussion Papers in Economics with number 99/12.

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Length: 15 pages
Date of creation: Sep 1999
Date of revision: Feb 2000
Handle: RePEc:hol:holodi:9912

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Related research
Keywords: preferences; voting; Pareto dominance; lexicographic order;

Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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References listed on IDEAS
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  1. Subiza, Begona & Peris, Josep E., 1997. "Numerical representation for lower quasi-continuous preferences," Mathematical Social Sciences, Elsevier, vol. 33(2), pages 149-156, April. [Downloadable!] (restricted)
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This page was last updated on 2009-11-5.

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