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

Reprint No. 2020:16

Author(s): Thomas Demuynck and Per HjertstrandYear: 2020 Title: Paul Samuelson: Master of Modern Economics Chapter: 9Editor(s): R.G. Anderson, W.A. Barnett och R.A. CordPublisher: Palgrave MacmillanCity: London Pages: 193–227
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Preliminary version

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- t, power and predictive success.

Demuynck, Thomas and Per Hjertstrand (2020), "Samuelson's Approach to Revealed Preference Theory: Some Recent Advances". Chapter 9, pp. 193–227 in R.G. Anderson, W.A. Barnett och R.A. Cord, eds., Paul Samuelson: Master of Modern Economics. London: Palgrave Macmillan.

Per Hjertstrand


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