Sharp for SARP: Nonparametric Bounds on the Behavioural and Welfare Effects of Price Changes
Author(s) -
Richard Blundell,
Martin Browning,
Laurens Cherchye,
Ian Crawford,
Bram De Rock,
Frédéric Vermeulen
Publication year - 2012
Publication title -
ssrn electronic journal
Language(s) - English
Resource type - Journals
ISSN - 1556-5068
DOI - 10.2139/ssrn.2136861
Subject(s) - nonparametric statistics , welfare , economics , econometrics , mathematics , mathematical economics , market economy
Sharp nonparametric bounds are derived for Hicksian compensating and equivalent variations. These 'i-bounds' generalize earlier results of Blundell, Browning and Crawford (2008). We show that their e-bounds are sharp under the Weak Axiom of Revealed Preference (WARP). They do not require transitivity. The new i-bounds are sharp under the Strong Axiom of Revealed Preference (SARP). By requiring transitivity they can be used to bound welfare measures. The new bounds on welfare measures are shown to be operationalized through algorithms that are easy to implement.
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