The geometry of revealed preference

C-Tier
Journal: Journal of Mathematical Economics
Year: 2014
Volume: 50
Issue: C
Pages: 203-207

Authors (2)

Deb, Rahul (University of Toronto) Pai, Mallesh M. (not in RePEc)

Score contribution per author:

0.505 = (α=2.02 / 2 authors) × 0.5x C-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

In this paper, we examine how the geometry underlying revealed preference determines the set of preferences that can be revealed by choices. Specifically, given an arbitrary binary relation defined on a finite set, we ask if and when there exists a data set which can generate the given relation through revealed preference. We show that the dimension of the consumption space affects the set of revealed preference relations. If the consumption space has more goods than observations, any revealed preference relation can arise. Conversely, if the consumption space has low dimension relative to the number of observations, then there exist both rational and irrational preference relations that can never be revealed by choices.

Technical Details

RePEc Handle
repec:eee:mateco:v:50:y:2014:i:c:p:203-207
Journal Field
Theory
Author Count
2
Added to Database
2026-01-25