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An Equilibrium Model of Sorting in an Urban Housing Market

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  • Patrick Bayer
  • Robert McMillan
  • Kim Rueben

Abstract

This paper introduces an equilibrium framework for analyzing residential sorting, designed to take advantage of newly available restricted-access Census microdata. The framework adds an equilibrium concept to the discrete choice framework developed by McFadden (1973, 1978), permitting a more flexible characterization of preferences than has been possible in previously estimated sorting models. Using data on nearly a quarter of a million households residing in the San Francisco Bay Area in 1990, our estimates provide a precise characterization of preferences for many housing and neighborhood attributes, showing how demand for these attributes varies with a household's income, race, education, and family structure. We use the equilibrium model in combination with these estimates to explore the effects of an increase in income inequality, the findings indicating that much of the increased spending power of the rich is absorbed by higher housing prices.

Suggested Citation

  • Patrick Bayer & Robert McMillan & Kim Rueben, 2004. "An Equilibrium Model of Sorting in an Urban Housing Market," NBER Working Papers 10865, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:10865
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    References listed on IDEAS

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    1. Sandra E. Black, 1999. "Do Better Schools Matter? Parental Valuation of Elementary Education," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 577-599.
    2. Thomas J. Nechyba, 1999. "School Finance Induced Migration and Stratification Patterns: The Impact of Private School Vouchers," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 5-50, January.
    3. Ivar Ekeland & James J. Heckman & Lars Nesheim, 2004. "Identification and Estimation of Hedonic Models," Journal of Political Economy, University of Chicago Press, vol. 112(S1), pages 60-109, February.
    4. Benabou, Roland, 1996. "Heterogeneity, Stratification, and Growth: Macroeconomic Implications of Community Structure and School Finance," American Economic Review, American Economic Association, vol. 86(3), pages 584-609, June.
    5. 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.
    6. Steve Berry & Oliver B. Linton & Ariel Pakes, 2004. "Limit Theorems for Estimating the Parameters of Differentiated Product Demand Systems," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 613-654.
    7. Walsh, Randy, 2007. "Endogenous open space amenities in a locational equilibrium," Journal of Urban Economics, Elsevier, vol. 61(2), pages 319-344, March.
    8. 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.
    9. Ferreira, Fernando, 2010. "You can take it with you: Proposition 13 tax benefits, residential mobility, and willingness to pay for housing amenities," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 661-673, October.
    10. Holger Sieg & V. Kerry Smith & H. Spencer Banzhaf & Randy Walsh, 2004. "Estimating The General Equilibrium Benefits Of Large Changes In Spatially Delineated Public Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(4), pages 1047-1077, November.
    11. Gabriel, Stuart A & Rosenthal, Stuart S, 1989. "Household Location and Race: Estimates of Multinomial Logit Model," The Review of Economics and Statistics, MIT Press, vol. 71(2), pages 240-249, May.
    12. Thomas J. Nechyba, 2000. "Mobility, Targeting, and Private-School Vouchers," American Economic Review, American Economic Association, vol. 90(1), pages 130-146, March.
    13. Patrick Bayer & Fernando Ferreira & Robert McMillan, 2007. "A Unified Framework for Measuring Preferences for Schools and Neighborhoods," Journal of Political Economy, University of Chicago Press, vol. 115(4), pages 588-638, August.
    14. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
    15. Patrick Bajari & Matthew E. Kahn, "undated". "Why Do Blacks Live in The Cities and Whites Live in the Suburbs?," Working Papers 00007, Stanford University, Department of Economics.
    16. Patrick Bayer & Robert McMillan & Kim Rueben, 2003. "An Equilibrium Model of Sorting in an Urban Housing Market: A Study of the Causes and Consequences of Residential Segregation," Working Papers 03-01, Center for Economic Studies, U.S. Census Bureau.
    17. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    18. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64(5), pages 416-416.
    19. Raquel Fernandez & Richard Rogerson, 1996. "Income Distribution, Communities, and the Quality of Public Education," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(1), pages 135-164.
    20. Brock,W.A. & Durlauf,S.N., 2003. "Multinomial choice with social interactions," Working papers 1, Wisconsin Madison - Social Systems.
    21. Epple, Dennis & Filimon, Radu & Romer, Thomas, 1984. "Equilibrium among local jurisdictions: toward an integrated treatment of voting and residential choice," Journal of Public Economics, Elsevier, vol. 24(3), pages 281-308, August.
    22. 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..
    23. Brown, James N & Rosen, Harvey S, 1982. "On the Estimation of Structural Hedonic Price Models," Econometrica, Econometric Society, vol. 50(3), pages 765-768, May.
    24. Fernandez, Raquel & Rogerson, Richard, 1998. "Public Education and Income Distribution: A Dynamic Quantitative Evaluation of Education-Finance Reform," American Economic Review, American Economic Association, vol. 88(4), pages 813-833, September.
    25. Roland Benabou, 1993. "Workings of a City: Location, Education, and Production," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 619-652.
    26. Dennis Epple & Thomas Romer & Holger Sieg, 2001. "Interjurisdictional Sorting and Majority Rule: An Empirical Analysis," Econometrica, Econometric Society, vol. 69(6), pages 1437-1465, November.
    27. Epple, Dennis & Filimon, Radu & Romer, Thomas, 1993. "Existence of voting and housing equilibrium in a system of communities with property taxes," Regional Science and Urban Economics, Elsevier, vol. 23(5), pages 585-610, November.
    28. Patrick Bayer & Robert McMillan & Kim Rueben, 2003. "An Equilibrium Model of Sorting in an Urban Housing Market: The Causes and Consequences of Residential Segregation," Working Papers 860, Economic Growth Center, Yale University.
    29. Patrick Bayer & Robert McMillan & Kim Rueben, 2004. "Residential Segregation in General Equilibrium," Working Papers 885, Economic Growth Center, Yale University.
    30. Bartik, Timothy J, 1987. "The Estimation of Demand Parameters in Hedonic Price Models," Journal of Political Economy, University of Chicago Press, vol. 95(1), pages 81-88, February.
    31. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    32. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-493, May.
    33. Bayer, Patrick & Timmins, Christopher, 2005. "On the equilibrium properties of locational sorting models," Journal of Urban Economics, Elsevier, vol. 57(3), pages 462-477, May.
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    More about this item

    JEL classification:

    • H0 - Public Economics - - General
    • J7 - Labor and Demographic Economics - - Labor Discrimination
    • R0 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General

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