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Preference Representation via Pareto Dominance

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

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Abstract

Necessary and sufficient conditions are given for the existence of an Order isomorphism from a given preference relation to Euclidean n-dimensional space ordered by Pareto dominance. This result provides representation for some preference relations not representable by utility functions. It also helps categorize preference relations; for each n it partitions the set of preference relations into a representable class and a non-representable class.

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File URL: http://www.rhul.ac.uk/economics/Research/WorkingPapers/pdf/dpe9803.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 98/3.

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Length: 11 pages
Date of creation: Jan 1998
Date of revision: Jan 1998
Handle: RePEc:hol:holodi:9803

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Related research
Keywords: Pareto dominance; order isomorphism; preferences;

Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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