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Finite Characterizations and Paretian Preferences

  • Vicki Knoblauch

    (University of Connecticut)

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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Paper provided by University of Connecticut, Department of Economics in its series Working papers with number 2005-02.

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Length: 15 pages
Date of creation: Jan 2005
Date of revision:
Handle: RePEc:uct:uconnp:2005-02
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  1. Vicki Knoblauch, 2003. "Characterizing Paretian Preferences," Working papers 2003-30, University of Connecticut, Department of Economics.
  2. 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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