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Equilibrium Sorting of Heterogeneous Consumers Across Locations

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Author Info
Lars Nesheim

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Abstract

This paper develops a model in which a continuum of consumers choose from a continuum of locations indexed by school quality. It computes equilibria that are sustained by an equilibrium price function that matches consumers to different locations based on their willingness to pay for school quality. In equilibrium each location is inhabited by a set of people with varying levels of education, ability, intensity of preference for education, and income. The distributions of characteristics within each location are determined by the structural elements of the model. This paper also demonstrates how the equilibrium implications of a structural economic matching model can be used to solve two important econometric identification problems. First, it is likely that regressions that seek to estimate the effects of school quality on educational outcomes are biased because people choose where their children go to school. The model in the paper solves this problem by using a consumer location choice equation and an equilibrium pricing relation to create a valid instrument for the school quality variable. Second, hedonic estimation problems in a single market are unidentified because the marginal price function is unknown or collinear with the level of the product demanded. This paper solves this problem by exploiting the restrictions that equilibrium in the sorting economy imposes on the equilibrium price function. The equilibrium price equation introduces a non-linearity into the system that is sufficient for identification

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Paper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 337.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nasm04:337

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Related research
Keywords: school quality; location choice; sorting; peer effects;

Find related papers by JEL classification:
D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
D40 - Microeconomics - - Market Structure and Pricing - - - General
I20 - Health, Education, and Welfare - - Education - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Betts, Julian R, 1995. "Does School Quality Matter? Evidence from the National Longitudinal Survey of Youth," The Review of Economics and Statistics, MIT Press, vol. 77(2), pages 231-50, May. [Downloadable!] (restricted)
  2. Ekeland, Ivar & Heckman, James J. & Nesheim, Lars, 2003. "Identification and Estimation of Hedonic Models," IZA Discussion Papers 853, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  3. Robert Haveman & Barbara Wolfe, 1995. "The Determinants of Children's Attainments: A Review of Methods and Findings," Journal of Economic Literature, American Economic Association, vol. 33(4), pages 1829-1878, December. [Downloadable!] (restricted)
  4. Card, David & Krueger, Alan B, 1992. "Does School Quality Matter? Returns to Education and the Characteristics of Public Schools in the United States," Journal of Political Economy, University of Chicago Press, vol. 100(1), pages 1-40, February. [Downloadable!] (restricted)
    Other versions:
  5. Epple, Dennis, 1987. "Hedonic Prices and Implicit Markets: Estimating Demand and Supply Functions for Differentiated Products," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 59-80, February. [Downloadable!] (restricted)
  6. Epple, Dennis & Platt, Glenn J., 1998. "Equilibrium and Local Redistribution in an Urban Economy when Households Differ in both Preferences and Incomes," Journal of Urban Economics, Elsevier, vol. 43(1), pages 23-51, January. [Downloadable!] (restricted)
  7. Kahn, Shulamit & Lang, Kevin, 1988. "Efficient Estimation of Structural Hedonic Systems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 157-66, February. [Downloadable!] (restricted)
  8. Dennis Epple & Holger Sieg, 1999. "Estimating Equilibrium Models of Local Jurisdictions," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 645-681, August. [Downloadable!] (restricted)
  9. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb.. [Downloadable!] (restricted)
  10. James N. Brown & Harvey S. Rosen, 1982. "On the Estimation of Structural Hedonic Price Models," NBER Technical Working Papers 0018, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Teulings, Coen N, 1995. "The Wage Distribution in a Model of the Assignment of Skills to Jobs," Journal of Political Economy, University of Chicago Press, vol. 103(2), pages 280-315, April. [Downloadable!] (restricted)
  12. Hanushek, Eric A, 1996. "Measuring Investment in Education," Journal of Economic Perspectives, American Economic Association, vol. 10(4), pages 9-30, Fall. [Downloadable!] (restricted)
  13. Bartik, Timothy J, 1987. "Estimating Hedonic Demand Parameters with Single Market Data: The Problems Caused by Unobserved Tastes," The Review of Economics and Statistics, MIT Press, vol. 69(1), pages 178-80, February. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Steve Gibbons, 2002. "Neighbourhood Effects on Educational Achievement," CEE Discussion Papers 0018, Centre for the Economics of Education, LSE. [Downloadable!]
  2. repec:att:wimass:192055 is not listed on IDEAS
  3. Heckman, James J. & Matzkin, Rosa & Nesheim, Lars, 2003. "Simulation and Estimation of Hedonic Models," IZA Discussion Papers 843, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  4. Patrick Bayer & Fernando Ferreira & Robert McMillan, 2003. "A Unified Framework for Estimating Preferences for Schools and Neighborhoods," Working Papers 872, Economic Growth Center, Yale University. [Downloadable!]
  5. James J. Heckman & Rosa Matzkin & Lars Nesheim, 2003. "Simulation and Estimation of Nonaddative Hedonic Models," NBER Working Papers 9895, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Helen Tauchen & Ann Dryden Witte, 2001. "Estimating Hedonic Models: Implications of the Theory," NBER Technical Working Papers 0271, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  7. Ivar Ekeland & James Heckman & Lars Nesheim, 2002. "Identification and estimation of hedonic models," CeMMAP working papers CWP07/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  8. Patrick Bayer & Fernando Ferreira & Robert McMillan, 2007. "A Unified Framework for Measuring Preferences for Schools and Neighborhoods," NBER Working Papers 13236, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
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