Abstract
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.
Recommended Citation
Knoblauch, Vicki, "Finite Characterizations and Paretian Preferences" (2005). Economics Working Papers. Paper 200502.
http://digitalcommons.uconn.edu/econ_wpapers/200502
