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The geometry of revealed preference

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  • Deb, Rahul
  • Pai, Mallesh M.

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.

Suggested Citation

  • Deb, Rahul & Pai, Mallesh M., 2014. "The geometry of revealed preference," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 203-207.
    • Handle: RePEc:eee:mateco:v:50:y:2014:i:c:p:203-207
    DOI: 10.1016/j.jmateco.2013.11.005
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    References listed on IDEAS

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    5. James Andreoni & John Miller, 2002. "Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism," Econometrica, Econometric Society, vol. 70(2), pages 737-753, March.
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