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An Equilibrium Model of Sorting in an Urban Housing Market

  • Patrick Bayer
  • Robert McMillan
  • Kim Rueben

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.

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File URL: http://www.nber.org/papers/w10865.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 10865.

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Date of creation: Nov 2004
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Handle: RePEc:nbr:nberwo:10865
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  1. Sandra E. Black, 1999. "Do Better Schools Matter? Parental Valuation Of Elementary Education," The Quarterly Journal of Economics, MIT Press, vol. 114(2), pages 577-599, May.
  2. Patrick Bayer & Robert McMillan & Kim Rueben, 2004. "Residential Segregation in General Equilibrium," Working Papers 885, Economic Growth Center, Yale University.
  3. 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.
  4. Thomas J. Nechyba, 2000. "Mobility, Targeting, and Private-School Vouchers," American Economic Review, American Economic Association, vol. 90(1), pages 130-146, March.
  5. Steve Berry & Oliver Linton & Ariel Pakes, 2000. "Limit Theorems for Estimating the Parameters of Differentiated Product Demand Systems," STICERD - Econometrics Paper Series 400, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  6. 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.
  7. 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 813-33, September.
  8. Fernandez, Raquel & Rogerson, Richard, 1996. "Income Distribution, Communities, and the Quality of Public Education," The Quarterly Journal of Economics, MIT Press, vol. 111(1), pages 135-64, February.
  9. 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.
  10. William A. Brock & Steven N. Durlauf, 2003. "Multinomial Choice with Social Interactions," NBER Technical Working Papers 0288, National Bureau of Economic Research, Inc.
  11. Roland Benabou, 1991. "Workings of a City: Location, Education, and Production," NBER Technical Working Papers 0113, National Bureau of Economic Research, Inc.
  12. Fernando Ferreira, 2008. "You Can Take it With You: Proposition 13 Tax Benefits, Residential Mobility, and Willingness to Pay for Housing Amenities," Working Papers 08-15, Center for Economic Studies, U.S. Census Bureau.
  13. 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.
  14. Brown, James N & Rosen, Harvey S, 1982. "On the Estimation of Structural Hedonic Price Models," Econometrica, Econometric Society, vol. 50(3), pages 765-68, May.
  15. 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 240-49, May.
  16. 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.
  17. Brock, William A & Durlauf, Steven N, 2001. "Discrete Choice with Social Interactions," Review of Economic Studies, Wiley Blackwell, vol. 68(2), pages 235-60, April.
  18. Walsh, Randy, 2007. "Endogenous open space amenities in a locational equilibrium," Journal of Urban Economics, Elsevier, vol. 61(2), pages 319-344, March.
  19. Schelling, Thomas C, 1969. "Models of Segregation," American Economic Review, American Economic Association, vol. 59(2), pages 488-93, May.
  20. 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.
  21. Holger Sieg & V. Kerry Smith & H. Spencer Banzhaf & Randy Walsh, . "Estimating the General Equilibrium Benefits of Large Changes in Spatially Delineated Public Goods," GSIA Working Papers 2003-07, Carnegie Mellon University, Tepper School of Business.
  22. 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.
  23. 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.
  24. Nechyba, Thomas J, 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.
  25. 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..
  26. Patrick Bayer & Fernando Ferreira & Robert McMillan, 2007. "A Unified Framework for Measuring Preferences for Schools and Neighborhoods," Working Papers 07-27, Center for Economic Studies, U.S. Census Bureau.
  27. Patrick Bajari & Matthew E. Kahn, . "Why Do Blacks Live in The Cities and Whites Live in the Suburbs?," Working Papers 00007, Stanford University, Department of Economics.
  28. 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.
  29. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July.
  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.
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