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Sharp for SARP: Nonparametric bounds on counterfactual demands

Author

Listed:
  • Richard Blundell
  • Martin Browning
  • Laurens Cherchye
  • Ian Crawford
  • Bram De Rock
  • Frederic Vermeulen

Abstract

Sharp nonparametric bounds are derived for counterfactual demands and Hicksian compensating and equivalent variations. These "i-bounds" refine and extend earlier results of Blundell, Browning, and Crawford (2008). We show that their bounds are sharp underthe Weak Axiom of Revealed Preference (WARP) since they do not require transitivity. The new 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.

Suggested Citation

  • Richard Blundell & Martin Browning & Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2015. "Sharp for SARP: Nonparametric bounds on counterfactual demands," ULB Institutional Repository 2013/237105, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:ulb:ulbeco:2013/237105
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    References listed on IDEAS

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    1. Richard Blundell & Martin Browning & Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2015. "Sharp for SARP: Nonparametric Bounds on Counterfactual Demands," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 43-60, February.
    2. Richard Blundell, 2005. "Presidential Address: How Revealing Is Revealed Preference?," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 211-235, 04/05.
    3. Blundell, Richard & Kristensen, Dennis & Matzkin, Rosa, 2014. "Bounding quantile demand functions using revealed preference inequalities," Journal of Econometrics, Elsevier, vol. 179(2), pages 112-127.
    4. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
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    Citations

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    Cited by:

    1. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Khushboo Surana, 2020. "Revealed Preference Analysis with Normal Goods: Application to Cost-of-Living Indices," American Economic Journal: Microeconomics, American Economic Association, vol. 12(3), pages 165-188, August.
    2. Takashi Kunimoto & Roberto Serrano, 2020. "Rationalizable Incentives: Interim Implementation of Sets in Rationalizable Strategies," Working Papers 2020-15, Brown University, Department of Economics.
    3. Yuichi Kitamura & Jörg Stoye, 2018. "Nonparametric Analysis of Random Utility Models," Econometrica, Econometric Society, vol. 86(6), pages 1883-1909, November.
    4. Laurens Cherchye & Thomas Demuynck & Bram De Rock & Frederic Vermeulen, 2017. "Household Consumption When the Marriage Is Stable," American Economic Review, American Economic Association, vol. 107(6), pages 1507-1534, June.
    5. Laurens CHERCHYE & Ian CRAWFORD & Bram DE ROCK & Frederic VERMEULEN, 2013. "Gorman revisited: nonparametric conditions for exact linear aggregation," Working Papers of Department of Economics, Leuven ces13.05, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    6. Heufer, Jan & Hjertstrand, Per, 2019. "Homothetic preferences revealed," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 602-614.
    7. Adams, Abigail, 2019. "Mutually Consistent Revealed Preference Demand Predictions," CEPR Discussion Papers 13580, C.E.P.R. Discussion Papers.
    8. Richard Blundell & Martin Browning & Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2015. "Sharp for SARP: Nonparametric Bounds on Counterfactual Demands," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 43-60, February.
    9. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Transitivity of preferences: when does it matter?," Theoretical Economics, Econometric Society, vol. 13(3), September.
    10. Laurens Cherchye & Pierre-André Chiappori & Bram De Rock & Charlotte Ringdal & Frederic Vermeulen, 2021. "Feed the children," Working Papers of Department of Economics, Leuven 679644, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
      • Cherchye, Laurens & Chiappori, Pierre-André & De Rock, Bram & Ringdal, Charlotte & Vermeulen, Frederic, 2021. "Feed the children," CEPR Discussion Papers 16482, C.E.P.R. Discussion Papers.
      • Cherchye, Laurens & Chiappori, Pierre-André & De Rock, Bram & Ringdal, Charlotte & Vermeulen, Frederic, 2021. "Feed the Children," IZA Discussion Papers 14687, Institute of Labor Economics (IZA).
      • Laurens Cherchye & Pierre-André Chiappori & Bram De Rock & Charlotte Ringdal & Frederic Vermeulen, 2021. "Feed the Children," Working Papers ECARES 2021-16, ULB -- Universite Libre de Bruxelles.
    11. Laurens Cherchye & Ian Crawford & Bram Rock & Frederic Vermeulen, 2016. "Gorman revisited: nonparametric conditions for exact linear aggregation," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 7(2), pages 203-220, June.
    12. Abi Adams & Richard Blundell & Martin Browning & Ian Crawford, 2015. "Prices versus preferences: taste change and revealed preference," IFS Working Papers W15/11, Institute for Fiscal Studies.
    13. Cherchye, Laurens & Demuynck, Thomas & Rock, Bram De, 2019. "Bounding counterfactual demand with unobserved heterogeneity and endogenous expenditures," Journal of Econometrics, Elsevier, vol. 211(2), pages 483-506.
    14. Aguiar, Victor H. & Hjertstrand, Per & Serrano, Roberto, 2020. "A Rationalization of the Weak Axiom of Revealed Preference," Working Paper Series 1321, Research Institute of Industrial Economics.
    15. Jan (J.P.M.) Heufer & Per Hjertstrand, 2017. "Homothetic Preferences Revealed," Tinbergen Institute Discussion Papers 17-103/I, Tinbergen Institute.
    16. Ian Crawford & Matthew Polisson, 2015. "Demand Analysis with Partially Observed Prices," Discussion Papers in Economics 15/12, Division of Economics, School of Business, University of Leicester, revised Dec 2016.
    17. Laurens Cherchye & Ian Crawford & Bram De Rock & Frederic Vermeulen, 2015. "Revealed Preference and Aggregation," Working Papers ECARES ECARES 2015-08, ULB -- Universite Libre de Bruxelles.

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    More about this item

    JEL classification:

    • D04 - Microeconomics - - General - - - Microeconomic Policy: Formulation; Implementation; Evaluation
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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