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Schooling Choice, Labour Market Matching, and Wages

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  • Jacob Schwartz

Abstract

We develop inference for a two-sided matching model where the characteristics of agents on one side of the market are endogenous due to pre-matching investments. The model can be used to measure the impact of frictions in labour markets using a single cross-section of matched employer-employee data. The observed matching of workers to firms is the outcome of a discrete, two-sided matching process where firms with heterogeneous preferences over education sequentially choose workers according to an index correlated with worker preferences over firms. The distribution of education arises in equilibrium from a Bayesian game: workers, knowing the distribution of worker and firm types, invest in education prior to the matching process. Although the observed matching exhibits strong cross-sectional dependence due to the matching process, we propose an asymptotically valid inference procedure that combines discrete choice methods with simulation.

Suggested Citation

  • Jacob Schwartz, 2018. "Schooling Choice, Labour Market Matching, and Wages," Papers 1803.09020, arXiv.org, revised Aug 2019.
    • Handle: RePEc:arx:papers:1803.09020
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    1. Dostie Benoit & Jayaraman Rajshri, 2012. "Organizational Redesign, Information Technologies and Workplace Productivity," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 12(1), pages 1-41, February.
    2. Jan Eeckhout & Philipp Kircher, 2011. "Identifying Sorting--In Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 872-906.
    3. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
    4. David A. Green & Benjamin M. Sand, 2015. "Has the Canadian labour market polarized?," Canadian Journal of Economics, Canadian Economics Association, vol. 48(2), pages 612-646, May.
    5. Pieter A. Gautier & Coen N. Teulings, 2006. "How Large are Search Frictions?," Journal of the European Economic Association, MIT Press, vol. 4(6), pages 1193-1225, December.
    6. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November.
    7. David Card & Jörg Heining & Patrick Kline, 2013. "Workplace Heterogeneity and the Rise of West German Wage Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(3), pages 967-1015.
    8. Pendakur, Krishna & Woodcock, Simon, 2010. "Glass Ceilings or Glass Doors? Wage Disparity Within and Between Firms," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 181-189.
    9. Jeremy T. Fox & Patrick Bajari, 2013. "Measuring the Efficiency of an FCC Spectrum Auction," American Economic Journal: Microeconomics, American Economic Association, vol. 5(1), pages 100-146, February.
    10. Thomas Lemieux, 2008. "The changing nature of wage inequality," Journal of Population Economics, Springer;European Society for Population Economics, vol. 21(1), pages 21-48, January.
    11. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting and Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 63-87, January.
    12. Hiroyuki Kasahara & Katsumi Shimotsu, 2012. "Sequential Estimation of Structural Models With a Fixed Point Constraint," Econometrica, Econometric Society, vol. 80(5), pages 2303-2319, September.
    13. David Card & Thomas Lemieux, 2001. "Can Falling Supply Explain the Rising Return to College for Younger Men? A Cohort-Based Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 705-746.
    14. Victor Aguirregabiria & Pedro Mira, 2013. "Identification of Games of Incomplete Information with Multiple Equilibria and Common Unobserved Heterogeneity," Working Papers tecipa-474, University of Toronto, Department of Economics.
    15. Hector Chade & Jan Eeckhout & Lones Smith, 2017. "Sorting through Search and Matching Models in Economics," Journal of Economic Literature, American Economic Association, vol. 55(2), pages 493-544, June.
    16. Rasmus Lentz & Jesper Bagger, 2009. "An Empirical Model of Wage Dispersion with Sorting," 2009 Meeting Papers 964, Society for Economic Dynamics.
    17. Konrad Menzel, 2015. "Large Matching Markets as Two‐Sided Demand Systems," Econometrica, Econometric Society, vol. 83(3), pages 897-941, May.
    18. Michael R. Veall, 2012. "Top income shares in Canada: recent trends and policy implications," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 45(4), pages 1247-1272, November.
    19. Pierre-André Chiappori & Bernard Salanié, 2016. "The Econometrics of Matching Models," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 832-861, September.
    20. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    21. Rafael Lopes de Melo, 2018. "Firm Wage Differentials and Labor Market Sorting: Reconciling Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 313-346.
    22. Stéphane Bonhomme & Thibaut Lamadon & Elena Manresa, 2019. "A Distributional Framework for Matched Employer Employee Data," Econometrica, Econometric Society, vol. 87(3), pages 699-739, May.
    23. Cardoso, Ana Rute & Loviglio, Annalisa & Piemontese, Lavinia, 2015. "Information Frictions and Labor Market Outcomes," IZA Discussion Papers 9070, Institute of Labor Economics (IZA).
    24. repec:hal:spmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    25. Georges Dionne & Benoit Dostie, 2007. "New Evidence on the Determinants of Absenteeism Using Linked Employer-Employee Data," ILR Review, Cornell University, ILR School, vol. 61(1), pages 108-120, October.
    26. Brahim Boudarbat & Thomas Lemieux & W. Craig Riddell, 2010. "The Evolution of the Returns to Human Capital in Canada, 1980-2005," Canadian Public Policy, University of Toronto Press, vol. 36(1), pages 63-89, March.
    27. John M. Abowd & Francis Kramarz & David N. Margolis, 1999. "High Wage Workers and High Wage Firms," Econometrica, Econometric Society, vol. 67(2), pages 251-334, March.
    28. Marcus Hagedorn & Tzuo Hann Law & Iourii Manovskii, 2017. "Identifying Equilibrium Models of Labor Market Sorting," Econometrica, Econometric Society, vol. 85, pages 29-65, January.
    29. Bresnahan, Timothy F & Reiss, Peter C, 1991. "Entry and Competition in Concentrated Markets," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 977-1009, October.
    30. Cristian Bartolucci & Francesco Devicienti, 2012. "Better Workers Move to Better Firms: A Simple Test to Identify Sorting," Carlo Alberto Notebooks 259, Collegio Carlo Alberto.
    31. Nikhil Agarwal & William Diamond, 2013. "Identification and Estimation in Two-Sided Matching Markets," Cowles Foundation Discussion Papers 1905, Cowles Foundation for Research in Economics, Yale University, revised Feb 2014.
    32. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    33. Berry, Steven T, 1992. "Estimation of a Model of Entry in the Airline Industry," Econometrica, Econometric Society, vol. 60(4), pages 889-917, July.
    34. Konrad Menzel, 2016. "Inference for Games with Many Players," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(1), pages 306-337.
    35. Alexander Konovalov & Zsolt Sándor, 2010. "On price equilibrium with multi-product firms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(2), pages 271-292, August.
    36. Victor Aguirregabiria & Pedro Mira, 2019. "Identification of games of incomplete information with multiple equilibria and unobserved heterogeneity," Quantitative Economics, Econometric Society, vol. 10(4), pages 1659-1701, November.
    37. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    38. Emmanuel Saez & Michael R. Veall, 2005. "The Evolution of High Incomes in Northern America: Lessons from Canadian Evidence," American Economic Review, American Economic Association, vol. 95(3), pages 831-849, June.
    39. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    40. Jesper Bagger & Rasmus Lentz, 2014. "An Empirical Model of Wage Dispersion with Sorting," Economics Working Papers 2014-11, Department of Economics and Business Economics, Aarhus University.
    41. Kory Kantenga, 2016. "Sorting and Wage Inequality," 2016 Meeting Papers 660, Society for Economic Dynamics.
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    Cited by:

    1. Taehoon Kim & Jacob Schwartz & Kyungchul Song & Yoon-Jae Whang, 2019. "Monte Carlo Inference on Two-Sided Matching Models," Econometrics, MDPI, vol. 7(1), pages 1-15, March.

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