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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.
Authors
![Richard Blundell](/sites/default/files/styles/square_desktop/public/2024-03/Richard%20Blundell%20Head.jpg?itok=ow7e9OkA)
CPP Co-Director
Richard is Co-Director of the Centre for the Microeconomic Analysis of Public Policy (CPP) and Senior Research Fellow at IFS.
![Martin Browning](/sites/default/files/styles/square_desktop/public/2022-07/Martin%20Browning.jpg?itok=15ISWZWp)
Research Associate University of Copenhagen
Martin is an IFS Research Associate, a Nuffield Senior Research Fellow and a Professor of Economics at the University of Oxford.
![Person graphic](/sites/default/files/styles/square_desktop/public/2022-06/IFS-person-graphic.png?itok=hWCtTSrz)
Ian Crawford
![Laurens Cherchye](/sites/default/files/styles/square_desktop/public/2022-07/Laurens%20Cherchye.jpg?itok=Xrj5FIn5)
Research Associate Katholieke Universiteit Leuven
Laurens is a Research Associate of the IFS and a Professor in the Department of Economics, KU Leuven.
![Bram de Rock](/sites/default/files/styles/square_desktop/public/2022-07/Bram%20de%20Rock.jpg?itok=5RSG8IvM)
Research Associate Université libre de Bruxelles
Bram is a Research Associate of the IFS, a Professor of Economics at ULB and a Professor of Mathematics and Statistics at KU Leuven.
![Frederic Vermeulen](/sites/default/files/styles/square_desktop/public/2022-07/Frederic%20Vermeulen.jpg?itok=e-Kq_Km4)
Research Associate University of Leuven
Frederic is a Research Associate of the IFS, a Professor of Economics at the University of Leuven and a Research Fellow at the CEPR.
Working Paper details
- DOI
- 10.1920/wp.ifs.2012.1214
- Publisher
- IFS
Suggested citation
Blundell, R et al. (2012). Sharp for SARP: Nonparametric bounds on the behavioural and welfare effects of price changes. London: IFS. Available at: https://ifs.org.uk/publications/sharp-sarp-nonparametric-bounds-behavioural-and-welfare-effects-price-changes (accessed: 30 June 2024).
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