Working Paper No. 1321

A Rationalization of the Weak Axiom of Revealed Preference

Published: February 26, 2020Pages: 63Keywords: Consumer choice; Revealed preference; Maximin rationalization; Nonconvex preferences; Reference-dependent utility; Law of demandJEL-codes: C60, D10

A Rationalization of the Weak Axiom of Revealed Preference Victor H. Aguiar, Per Hjertstrand and Roberto Serrano


We offer a rationalization of the weak axiom of revealed preference (WARP) and of the weak generalized axiom of revealed preference (WGARP) for both finite and infinite data sets of consumer choice. We call it maximin rationalization, in which each pairwise choice is associated with a local utility
function.

We develop its associated revealed-preference theory. We show that preference recoverability and welfare analysis à la Varian (1982) may not be informative enough when the weak axiom holds but when consumers are not utility maximizers. In addition, we show that counterfactual analysis may fail with WGARP/WARP. We clarify the reasons for these failures and provide new informative bounds for the consumer’s true preferences, as well as a new way to perform counterfactual analysis.

Finally, by adding the Gorman form and quasilinearity restrictions to the “local” utility functions, we obtain new characterizations of the choices of the Shafer (1974) nontransitive consumer and those choices satisfying the law of demand.


Reference:

Aguiar, Victor H., Per Hjertstrand and Roberto Serrano (2020), "A Rationalization of the Weak Axiom of Revealed Preference". IFN Working Paper No. 1321. Stockholm: Research Institute of Industrial Economics.​

Per Hjertstrand

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Ph: +46 8 665 4557
per.hjertstrand@ifn.se

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