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Inference on a Generalized Roy Model, with an Application to Schooling Decisions in France

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  • Xavier d'Haultfoeuille

    (Crest)

  • Arnaud Maurel

    (Crest)

Abstract

This paper considers the identification and estimation of an extension of Roy's model (1951) of occupational choice, which includes a non-pecuniary component in the decision equation and allows for uncertainty on the potential outcomes. This framework is well suited to various economic contexts, including educational and sectoral choices, or migration decisions. We focus in particular on the identification of the non-pecuniary component under the condition that at least one variable affects the selection probability only through potential earnings, that is under the opposite of the usual exclusion restrictions used to identify switching regressions models and treatment effects. Point identification is achieved if such variables are continuous, while bounds are obtained otherwise. As a result, the distribution of the ex ante treatment effects can be point or set identified without any usual instruments. We propose a three-stages semiparametric estimation procedure for this model, which yields root-n consistent and asymptotically normal estimators. We apply our results to the educational context, by providing new evidence from French data that non-pecuniary factors are a key determinant of higher education attendance decisions.

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Bibliographic Info

Paper provided by Centre de Recherche en Economie et Statistique in its series Working Papers with number 2010-11.

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Length: 51
Date of creation: 2010
Date of revision:
Handle: RePEc:crs:wpaper:2010-11

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  1. J. P. Florens & J. J. Heckman & C. Meghir & E. Vytlacil, 2008. "Identification of Treatment Effects Using Control Functions in Models With Continuous, Endogenous Treatment and Heterogeneous Effects," Econometrica, Econometric Society, vol. 76(5), pages 1191-1206, 09.
  2. Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-49, September.
  3. Dolton, P J & Makepeace, G H & Van Der Klaauw, W, 1989. "Occupational Choice and Earnings Determination: The Role of Sample Selection and Non-pecuniary Factors," Oxford Economic Papers, Oxford University Press, vol. 41(3), pages 573-94, July.
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  9. Lalive, Rafael & Cattaneo, Maria Alejandra, 2006. "Social Interactions and Schooling Decisions," IZA Discussion Papers 2250, Institute for the Study of Labor (IZA).
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  15. Xavier d'Haultfoeuille & Arnaud Maurel, 2010. "Another Look at the Identification at Infinity of Sample Section Models," Working Papers 2010-10, Centre de Recherche en Economie et Statistique.
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  23. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-94, July.
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  25. Patrick Bayer & Shakeeb Khan & Christopher Timmins, 2008. "Nonparametric Identification and Estimation in a Generalized Roy Model," NBER Working Papers 13949, National Bureau of Economic Research, Inc.
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Cited by:
  1. Rainer, Helmut & Smith, Ian, 2012. "Education, Communication and Wellbeing: An Application to Sexual Satisfaction," Munich Reprints in Economics 19754, University of Munich, Department of Economics.

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