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Spatial Sorting

Author

Listed:
  • Roberto Pinheiro

    (University of Colorado)

  • Kurt Schmidheiny

    (UPF)

  • Jan Eeckhout

    (UPF)

Abstract

We propose a theory of skill mobility across cities. It predicts the well documented city size-wage premium: the wage distribution in large cities rst-order stochastically dominates that in small cities. Yet, because this premium is reflected in higher house prices, this does not necessarily imply that this stochastic dominance relation also exists in the distribution of skills. Instead, we find there is second-order stochastic dominance in the skill distribution. The demand for skills is non-monotonic as our model predicts a "Sinatra" as well as an |Eminem" eect: both the very high and the very low skilled disproportionately sort into the biggest cities, while those with medium skill levels sort into small cities. The pattern of spatial sorting is explained by a technology with a varying elasticity of substitution that is decreasing in skill density. Using CPS data on wages and Census data on house prices, we nd that this technology is consistent with the observed patterns of skills.

Suggested Citation

  • Roberto Pinheiro & Kurt Schmidheiny & Jan Eeckhout, 2011. "Spatial Sorting," 2011 Meeting Papers 488, Society for Economic Dynamics.
  • Handle: RePEc:red:sed011:488
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    1. Christian Broda & David E. Weinstein, 2008. "Understanding International Price Differences Using Barcode Data," NBER Working Papers 14017, National Bureau of Economic Research, Inc.
    2. Pierre‐Philippe Combes & Gilles Duranton & Laurent Gobillon & Diego Puga & Sébastien Roux, 2012. "The Productivity Advantages of Large Cities: Distinguishing Agglomeration From Firm Selection," Econometrica, Econometric Society, vol. 80(6), pages 2543-2594, November.
    3. Victor Chernozhukov & Iván Fernández‐Val & Blaise Melly, 2013. "Inference on Counterfactual Distributions," Econometrica, Econometric Society, vol. 81(6), pages 2205-2268, November.
    4. DiNardo, John & Fortin, Nicole M & Lemieux, Thomas, 1996. "Labor Market Institutions and the Distribution of Wages, 1973-1992: A Semiparametric Approach," Econometrica, Econometric Society, vol. 64(5), pages 1001-1044, September.
    5. Koo, Jahyeong & Phillips, Keith R & Sigalla, Fiona D, 2000. "Measuring Regional Cost of Living," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(1), pages 127-136, January.
    6. Maarten Goos & Alan Manning & Anna Salomons, 2009. "Job Polarization in Europe," American Economic Review, American Economic Association, vol. 99(2), pages 58-63, May.
    7. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    8. Sieg, Holger & Smith, V. Kerry & Banzhaf, H. Spencer & Walsh, Randy, 2002. "Interjurisdictional housing prices in locational equilibrium," Journal of Urban Economics, Elsevier, vol. 52(1), pages 131-153, July.
    9. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455.
    10. David H. Autor & Frank Levy & Richard J. Murnane, 2003. "The skill content of recent technological change: an empirical exploration," Proceedings, Federal Reserve Bank of San Francisco, issue Nov.
    11. Kristian Behrens & Gilles Duranton & Frédéric Robert-Nicoud, 2014. "Productive Cities: Sorting, Selection, and Agglomeration," Journal of Political Economy, University of Chicago Press, vol. 122(3), pages 507-553.
    12. Duranton, Gilles & Puga, Diego, 2004. "Micro-foundations of urban agglomeration economies," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 48, pages 2063-2117, Elsevier.
    13. Jorge De La Roca & Diego Puga, 2017. "Learning by Working in Big Cities," Review of Economic Studies, Oxford University Press, vol. 84(1), pages 106-142.
    14. Fortin, Nicole & Lemieux, Thomas & Firpo, Sergio, 2011. "Decomposition Methods in Economics," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 1, pages 1-102, Elsevier.
    15. Shihe Fu & Stephen L. Ross, 2010. "Wage Premia in Employment Clusters: Agglomeration or Worker Heterogeneity?," Working Papers 10-04, Center for Economic Studies, U.S. Census Bureau.
    16. Oaxaca, Ronald, 1973. "Male-Female Wage Differentials in Urban Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 693-709, October.
    17. Sergio Firpo & Nicole M. Fortin & Thomas Lemieux, 2009. "Unconditional Quantile Regressions," Econometrica, Econometric Society, vol. 77(3), pages 953-973, May.
    18. David Albouy, 2008. "Are Big Cities Bad Places to Live? Estimating Quality of Life across Metropolitan Areas," NBER Working Papers 14472, National Bureau of Economic Research, Inc.
    19. Guerrieri, Veronica & Hartley, Daniel & Hurst, Erik, 2013. "Endogenous gentrification and housing price dynamics," Journal of Public Economics, Elsevier, vol. 100(C), pages 45-60.
    20. Alan S. Blinder, 1973. "Wage Discrimination: Reduced Form and Structural Estimates," Journal of Human Resources, University of Wisconsin Press, vol. 8(4), pages 436-455.
    21. Acemoglu, Daron & Autor, David, 2011. "Skills, Tasks and Technologies: Implications for Employment and Earnings," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 12, pages 1043-1171, Elsevier.
    22. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
    23. Gautier, P.A. & Teulings, C.N., 2009. "Search and the city," Regional Science and Urban Economics, Elsevier, vol. 39(3), pages 251-265, May.
    24. Wagner, Alfred, 1891. "Marshall's Principles of Economics," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 5, pages 319-338.
    25. Christian Broda & Ephraim Leibtag & David E. Weinstein, 2009. "The Role of Prices in Measuring the Poor's Living Standards," Journal of Economic Perspectives, American Economic Association, vol. 23(2), pages 77-97, Spring.
    26. Thomas J. Holmes & John J. Stevens, 2004. "Geographic concentration and establishment size: analysis in an alternative economic geography model," Journal of Economic Geography, Oxford University Press, vol. 4(3), pages 227-250, June.
    27. Steven J. Davis & R. Jason Faberman & John Haltiwanger, 2006. "The Flow Approach to Labor Markets: New Data Sources and Micro-Macro Links," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 3-26, Summer.
    28. Barton H. Hamilton & Jack A. Nickerson & Hideo Owan, 2003. "Team Incentives and Worker Heterogeneity: An Empirical Analysis of the Impact of Teams on Productivity and Participation," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 465-497, June.
    29. Rothe, Christoph, 2012. "Decomposing the Composition Effect," IZA Discussion Papers 6397, Institute of Labor Economics (IZA).
    30. Kaivan Munshi, 2003. "Networks in the Modern Economy: Mexican Migrants in the U. S. Labor Market," The Quarterly Journal of Economics, Oxford University Press, vol. 118(2), pages 549-599.
    31. Klaus Desmet & Esteban Rossi-Hansberg, 2014. "Spatial Development," American Economic Review, American Economic Association, vol. 104(4), pages 1211-1243, April.
    32. Schmidheiny, Kurt, 2006. "Income segregation from local income taxation when households differ in both preferences and incomes," Regional Science and Urban Economics, Elsevier, vol. 36(2), pages 270-299, March.
    33. Stijn Van Nieuwerburgh & Pierre-Olivier Weill, 2010. "Why Has House Price Dispersion Gone Up?," Review of Economic Studies, Oxford University Press, vol. 77(4), pages 1567-1606.
    34. Juhn, Chinhui & Murphy, Kevin M & Pierce, Brooks, 1993. "Wage Inequality and the Rise in Returns to Skill," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 410-442, June.
    35. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
    36. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    37. Bacolod, Marigee & Blum, Bernardo S. & Strange, William C., 2009. "Skills in the city," Journal of Urban Economics, Elsevier, vol. 65(2), pages 136-153, March.
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    More about this item

    JEL classification:

    • R10 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General
    • J61 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Geographic Labor Mobility; Immigrant Workers
    • J60 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - General

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