Working Paper No. 1274

Samuelson's Approach to Revealed Preference Theory: Some Recent Advances

Published: April 23, 2019Pages: 26Keywords: Afriat's theorem; Collective household model; GARP; Mixed integer linear programing; Revealed preference; Varian inequalities; Weak separabilityJEL-codes: C60; C63; D01; D11

Samuelson's Approach to Revealed Preference Theory: Some Recent Advances Thomas Demuynck and Per Hjertstrand


Since Paul Samuelson introduced the theory of revealed preference, it has become one of the most important concepts in economics. This chapter surveys some recent contributions in the revealed preference literature. We depart from Afriat's theorem, which provides the conditions for a data set to be consistent with the utility maximization hypothesis.

We provide and motivate a new condition, which we call the Varian inequalities. The advantage of the Varian inequalities is that they can be formulated as a set of mixed integer linear inequalities, which are linear in the quantity and price data.

We show how the Varian inequalities can be used to derive revealed preference tests for weak separability, and show how it can be used to formulate tests of the collective household model. Finally, we discuss measurement errors in the observed data and measures of goodness-of-fit, power and predictive success.

 

Per Hjertstrand

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