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The roots of inequality: estimating inequality of opportunity from regression trees and forests

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  • Paolo Brunori
  • Paul Hufe
  • Daniel Mahler

Abstract

We propose the use of machine learning methods to estimate inequality of opportunity and to illustrate that regression trees and forests represent a substantial improvement over existing approaches: they reduce the risk of ad hoc model selection and trade off upward and downward bias in inequality of opportunity estimates. The advantages of regression trees and forests are illustrated by an empirical application for a cross‐section of 31 European countries. We show that arbitrary model selection might lead to significant biases in inequality of opportunity estimates relative to our preferred method. These biases are reflected in both point estimates and country rankings.

Suggested Citation

  • Paolo Brunori & Paul Hufe & Daniel Mahler, 2023. "The roots of inequality: estimating inequality of opportunity from regression trees and forests," Scandinavian Journal of Economics, Wiley Blackwell, vol. 125(4), pages 900-932, October.
  • Handle: RePEc:bla:scandj:v:125:y:2023:i:4:p:900-932
    DOI: 10.1111/sjoe.12530
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    References listed on IDEAS

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    1. Paolo Brunori & Vito Peragine & Laura Serlenga, 2019. "Upward and downward bias when measuring inequality of opportunity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 635-661, April.
    2. Gordon B. Dahl & Lance Lochner, 2012. "The Impact of Family Income on Child Achievement: Evidence from the Earned Income Tax Credit," American Economic Review, American Economic Association, vol. 102(5), pages 1927-1956, August.
    3. Raj Chetty & Nathaniel Hendren & Frina Lin & Jeremy Majerovitz & Benjamin Scuderi, 2016. "Childhood Environment and Gender Gaps in Adulthood," American Economic Review, American Economic Association, vol. 106(5), pages 282-288, May.
    4. Paolo Brunori & Guido Neidhöfer, 2021. "The Evolution of Inequality of Opportunity in Germany: A Machine Learning Approach," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 67(4), pages 900-927, December.
    5. Espen Bratberg & Jonathan Davis & Bhashkar Mazumder & Martin Nybom & Daniel D. Schnitzlein & Kjell Vaage, 2017. "A Comparison of Intergenerational Mobility Curves in Germany, Norway, Sweden, and the US," Scandinavian Journal of Economics, Wiley Blackwell, vol. 119(1), pages 72-101, January.
    6. Juan C. Palomino & Gustavo A. Marrero & Juan G. Rodríguez, 2019. "Channels of Inequality of Opportunity: The Role of Education and Occupation in Europe," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 143(3), pages 1045-1074, June.
    7. Francisco H. G. Ferreira & Jérémie Gignoux, 2011. "The Measurement Of Inequality Of Opportunity: Theory And An Application To Latin America," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 57(4), pages 622-657, December.
    8. Nicolas Pistolesi, 2009. "Inequality of opportunity in the land of opportunities, 1968–2001," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(4), pages 411-433, December.
    9. Paul Hufe & Andreas Peichl & John Roemer & Martin Ungerer, 2017. "Inequality of income acquisition: the role of childhood circumstances," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(3), pages 499-544, December.
    10. Blackburn, McKinley L., 2007. "Estimating wage differentials without logarithms," Labour Economics, Elsevier, vol. 14(1), pages 73-98, January.
    11. Daniele Checchi & Vito Peragine, 2010. "Inequality of opportunity in Italy," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 429-450, December.
    12. Lefranc, Arnaud & Pistolesi, Nicolas & Trannoy, Alain, 2009. "Equality of opportunity and luck: Definitions and testable conditions, with an application to income in France," Journal of Public Economics, Elsevier, vol. 93(11-12), pages 1189-1207, December.
    13. Sendhil Mullainathan & Jann Spiess, 2017. "Machine Learning: An Applied Econometric Approach," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 87-106, Spring.
    14. repec:dau:papers:123456789/1552 is not listed on IDEAS
    15. Francine D. Blau & Lawrence M. Kahn, 2017. "The Gender Wage Gap: Extent, Trends, and Explanations," Journal of Economic Literature, American Economic Association, vol. 55(3), pages 789-865, September.
    16. Michal Brzezinski, 2020. "The evolution of inequality of opportunity in Europe," Applied Economics Letters, Taylor & Francis Journals, vol. 27(4), pages 262-266, February.
    17. Alexander W. Cappelen & Astri Drange Hole & Erik Ø Sørensen & Bertil Tungodden, 2007. "The Pluralism of Fairness Ideals: An Experimental Approach," American Economic Review, American Economic Association, vol. 97(3), pages 818-827, June.
    18. Cowell, Frank A & Victoria-Feser, Maria-Pia, 1996. "Robustness Properties of Inequality Measures," Econometrica, Econometric Society, vol. 64(1), pages 77-101, January.
    19. Ana Suárez Álvarez & Ana Jesús López Menéndez, 2021. "Dynamics of inequality and opportunities within European countries," Bulletin of Economic Research, Wiley Blackwell, vol. 73(4), pages 555-579, October.
    20. Rafael Carranza, 2023. "Upper and Lower Bound Estimates of Inequality of Opportunity: A Cross‐National Comparison for Europe," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 69(4), pages 838-860, December.
    21. Miles Corak, 2013. "Income Inequality, Equality of Opportunity, and Intergenerational Mobility," Journal of Economic Perspectives, American Economic Association, vol. 27(3), pages 79-102, Summer.
    22. Alberto Alesina & Stefanie Stantcheva & Edoardo Teso, 2018. "Intergenerational Mobility and Preferences for Redistribution," American Economic Review, American Economic Association, vol. 108(2), pages 521-554, February.
    23. Francisco H.G. Ferreira & Jérémie Gignoux, 2011. "The Measurement of Inequality of Inequality of Opportunity: Theory and an Application to Latin America," Post-Print halshs-00754503, HAL.
    24. Richard Arneson, 2018. "Four Conceptions of Equal Opportunity," Economic Journal, Royal Economic Society, vol. 128(612), pages 152-173.
    25. Carmichael, Fiona & Darko, Christian K. & Ercolani, Marco G. & Ozgen, Ceren & Siebert, W. Stanley, 2020. "Evidence on intergenerational income transmission using complete Dutch population data," Economics Letters, Elsevier, vol. 189(C).
    26. Gérard Biau & Erwan Scornet, 2016. "Rejoinder on: A random forest guided tour," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 264-268, June.
    27. Raj Chetty & Nathaniel Hendren & Patrick Kline & Emmanuel Saez & Nicholas Turner, 2014. "Is the United States Still a Land of Opportunity? Recent Trends in Intergenerational Mobility," American Economic Review, American Economic Association, vol. 104(5), pages 141-147, May.
    28. Daniel Kreisman & Marcos A. Rangel, 2015. "On the Blurring of the Color Line: Wages and Employment for Black Males of Different Skin Tones," The Review of Economics and Statistics, MIT Press, vol. 97(1), pages 1-13, March.
    29. François Bourguignon & Francisco H. G. Ferreira & Marta Menéndez, 2007. "Inequality Of Opportunity In Brazil," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 53(4), pages 585-618, December.
    30. Gérard Biau & Erwan Scornet, 2016. "A random forest guided tour," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 197-227, June.
    31. Hal R. Varian, 2014. "Big Data: New Tricks for Econometrics," Journal of Economic Perspectives, American Economic Association, vol. 28(2), pages 3-28, Spring.
    32. Richard Arneson, 2018. "Four Conceptions of Equal Opportunity," Economic Journal, Royal Economic Society, vol. 128(612), pages 152-173, July.
    33. Raj Chetty & Nathaniel Hendren & Patrick Kline & Emmanuel Saez, 2014. "Where is the land of Opportunity? The Geography of Intergenerational Mobility in the United States," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1553-1623.
    34. Branko Milanovic, 2015. "Global Inequality of Opportunity: How Much of Our Income Is Determined by Where We Live?," The Review of Economics and Statistics, MIT Press, vol. 97(2), pages 452-460, May.
    35. Susan Athey, 2018. "The Impact of Machine Learning on Economics," NBER Chapters, in: The Economics of Artificial Intelligence: An Agenda, pages 507-547, National Bureau of Economic Research, Inc.
    36. Paolo Li Donni & Juan Rodríguez & Pedro Rosa Dias, 2015. "Empirical definition of social types in the analysis of inequality of opportunity: a latent classes approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 673-701, March.
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    Cited by:

    1. Desai, Aman, 2024. "Measuring Income Inequality of Opportunity: Accounting for Dynamic Complementarity," SocArXiv ud42t_v1, Center for Open Science.
    2. Paolo Brunori & Francisco H.G. Ferreira & Pedro Salas-Rojo, "undated". "Inherited inequality: a general framework and an application to South Africa," Working Papers 658, ECINEQ, Society for the Study of Economic Inequality.

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