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Preference Representation via Pareto Dominance

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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.

Suggested Citation

  • Vicki Knoblauch, 1998. "Preference Representation via Pareto Dominance," Royal Holloway, University of London: Discussion Papers in Economics 98/3, Department of Economics, Royal Holloway University of London, revised Jan 1998.
    • Handle: RePEc:hol:holodi:9803
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    Keywords

    Pareto dominance; order isomorphism; preferences;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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