Finite Characterizations and Paretian Preferences
A characterization of a property of binary relations is of finite type if it is stated in terms of ordered T-tuples of alternatives for some positive integer T. A characterization of finite type can be used to determine in polynomial time whether a binary relation over a finite set has the property characterized. Unfortunately, Pareto representability in R2 has no characterization of finite type (Knoblauch, 2002). This result is generalized below Rl, l larger than 2. The method of proof is applied to other properties of binary relations.
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- Vicki Knoblauch, 2005.
"Characterizing Paretian preferences,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 25(1), pages 179-186, October.
- Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
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