Preference Representation via Pareto Dominance

Vicki Knoblauch (vicki.knoblauch@uconn.edu)

No 98/3, Royal Holloway, University of London: Discussion Papers in Economics from Department of Economics, Royal Holloway University of London

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.

Keywords: Pareto dominance; order isomorphism; preferences (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
Pages: 11 pages
Date: 1998-01, Revised 1998-01
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