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Nonparametric Welfare Analysis for Discrete Choice: Levels and Differences of Individual and Social Welfare

Author

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  • Bart Capéau
  • Liebrecht De Sadeleer
  • Sebastiaan Maes
  • André M.J. Decoster

Abstract

Empirical welfare analyses often impose stringent parametric assumptions on individuals’ preferences and neglect unobserved preference heterogeneity. In this paper, we develop a framework to conduct individual and social welfare analysis for discrete choice that does not suffer from these drawbacks. We first adapt the broad class of individual welfare measures introduced by Fleurbaey (2009) to settings where individual choice is discrete. Allowing for unrestricted, unobserved preference heterogeneity, these measures become random variables. We then show that the distribution of these objects can be derived from choice probabilities, which can be estimated nonparametrically from cross-sectional data. In addition, we derive nonparametric results for the joint distribution of welfare and welfare differences, as well as for social welfare. The former is an important tool in determining whether those who benefit from a price change belong disproportionately to those who were initially well-off. An empirical application illustrates the methods.

Suggested Citation

  • Bart Capéau & Liebrecht De Sadeleer & Sebastiaan Maes & André M.J. Decoster, 2021. "Nonparametric Welfare Analysis for Discrete Choice: Levels and Differences of Individual and Social Welfare," CESifo Working Paper Series 9071, CESifo.
    • Handle: RePEc:ces:ceswps:_9071
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    References listed on IDEAS

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    1. Koen Decancq & Marc Fleurbaey & Erik Schokkaert, 2015. "Happiness, Equivalent Incomes and Respect for Individual Preferences," Economica, London School of Economics and Political Science, vol. 82, pages 1082-1106, December.
    2. Dette, Holger & Hoderlein, Stefan & Neumeyer, Natalie, 2016. "Testing multivariate economic restrictions using quantiles: The example of Slutsky negative semidefiniteness," Journal of Econometrics, Elsevier, vol. 191(1), pages 129-144.
    3. Dixit, Avinash, 1975. "Welfare effects of tax and price changes," Journal of Public Economics, Elsevier, vol. 4(2), pages 103-123, February.
    4. Ian Walker & Ian Preston, 1999. "Welfare measurement in labour supply models with nonlinear budget constraints," Journal of Population Economics, Springer;European Society for Population Economics, vol. 12(3), pages 343-361.
    5. Jean-François Carpantier & Christelle Sapata, 2016. "Empirical welfare analysis: when preferences matter," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 521-542, March.
    6. Fleurbaey, Marc & Maniquet, François, 2017. "Fairness and well-being measurement," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 119-126.
    7. Matzkin, Rosa L, 1991. "Semiparametric Estimation of Monotone and Concave Utility Functions for Polychotomous Choice Models," Econometrica, Econometric Society, vol. 59(5), pages 1315-1327, September.
    8. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, January.
    9. Richard Blundell & Joel Horowitz & Matthias Parey, 2017. "Nonparametric Estimation of a Nonseparable Demand Function under the Slutsky Inequality Restriction," The Review of Economics and Statistics, MIT Press, vol. 99(2), pages 291-304, May.
    10. Pencavel, John H, 1977. "Constant-Utility Index Numbers of Real Wages," American Economic Review, American Economic Association, vol. 67(2), pages 91-100, March.
    11. Marc Fleurbaey & Guillaume Gaulier, 2009. "International Comparisons of Living Standards by Equivalent Incomes," Scandinavian Journal of Economics, Wiley Blackwell, vol. 111(3), pages 597-624, September.
    12. Marc Fleurbaey, 2009. "Beyond GDP: The Quest for a Measure of Social Welfare," Journal of Economic Literature, American Economic Association, vol. 47(4), pages 1029-1075, December.
    13. André Palma & Karim Kilani, 2011. "Transition choice probabilities and welfare analysis in additive random utility models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(3), pages 427-454, April.
    14. Jerry A. Hausman & Whitney K. Newey, 2016. "Individual Heterogeneity and Average Welfare," Econometrica, Econometric Society, vol. 84, pages 1225-1248, May.
    15. Delle Site, Paolo & Salucci, Marco Valerio, 2013. "Transition choice probabilities and welfare analysis in random utility models with imperfect before–after correlation," Transportation Research Part B: Methodological, Elsevier, vol. 58(C), pages 215-242.
    16. Debopam Bhattacharya, 2015. "Nonparametric Welfare Analysis for Discrete Choice," Econometrica, Econometric Society, vol. 83, pages 617-649, March.
    17. John K. Dagsvik, 2002. "Discrete Choice in Continuous Time: Implications of an Intertemporal Version of the Iia Property," Econometrica, Econometric Society, vol. 70(2), pages 817-831, March.
    18. Sam Cosaert & Thomas Demuynck, 2018. "Nonparametric Welfare and Demand Analysis with Unobserved Individual Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 100(2), pages 349-361, May.
    19. John K. Dagsvik & Anders Karlström, 2005. "Compensating Variation and Hicksian Choice Probabilities in Random Utility Models that are Nonlinear in Income," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 57-76.
    20. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
    21. Roberts, Kevin, 1980. "Price-Independent Welfare Prescriptions," Empirical Economics, Springer, vol. 13(3), pages 277-297, June.
    22. André Decoster & Peter Haan, 2015. "Empirical welfare analysis with preference heterogeneity," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(2), pages 224-251, April.
    23. Fleurbaey, Marc, 2007. "Two criteria for social decisions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 421-447, May.
    24. Debopam Bhattacharya, 2018. "Empirical welfare analysis for discrete choice: Some general results," Quantitative Economics, Econometric Society, vol. 9(2), pages 571-615, July.
    25. Klein, Roger W & Spady, Richard H, 1993. "An Efficient Semiparametric Estimator for Binary Response Models," Econometrica, Econometric Society, vol. 61(2), pages 387-421, March.
    26. Edward R. Morey & Robert D. Rowe & Michael Watson, 1993. "A Repeated Nested-Logit Model of Atlantic Salmon Fishing," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(3), pages 578-592.
    27. 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.
    28. Manski, Charles F., 1975. "Maximum score estimation of the stochastic utility model of choice," Journal of Econometrics, Elsevier, vol. 3(3), pages 205-228, August.
    29. Daniel McFadden, 2005. "Revealed stochastic preference: a synthesis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 245-264, August.
    30. King, Mervyn A., 1983. "Welfare analysis of tax reforms using household data," Journal of Public Economics, Elsevier, vol. 21(2), pages 183-214, July.
    31. Samuelson, Paul A, 1974. "Complementarity-An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1255-1289, December.
    32. Briesch, Richard A. & Chintagunta, Pradeep K. & Matzkin, Rosa L., 2010. "Nonparametric Discrete Choice Models With Unobserved Heterogeneity," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(2), pages 291-307.
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    More about this item

    Keywords

    discrete choice; nonparametric welfare analysis; individual welfare; social welfare; money metric utility; compensating variation; equivalent variation;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H22 - Public Economics - - Taxation, Subsidies, and Revenue - - - Incidence
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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