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A New Approach to Estimating the Production Function for Housing

Author

Listed:
  • Dennis Epple
  • Brett Gordon
  • Holger Sieg

Abstract

Dating to the classic works of Alonso, Mills, and Muth, the production function for housing has played a central role in urban economics and local public finance. This paper provides a new flexible approach for estimating the housing production function which treats housing quantities and prices as latent variables. The empirical analysis is based on a comprehensive database of recently built properties in Allegheny County, Pennsylvania. We find that the new method proposed in this paper works well in the application and provides reasonable estimates for the underlying production function. (JEL C51, D24, R11, R31)

Suggested Citation

  • Dennis Epple & Brett Gordon & Holger Sieg, 2010. "A New Approach to Estimating the Production Function for Housing," American Economic Review, American Economic Association, vol. 100(3), pages 905-924, June.
  • Handle: RePEc:aea:aecrev:v:100:y:2010:i:3:p:905-24
    Note: DOI: 10.1257/aer.100.3.905
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    References listed on IDEAS

    as
    1. Diewert, W E, 1971. "An Application of the Shephard Duality Theorem: A Generalized Leontief Production Function," Journal of Political Economy, University of Chicago Press, vol. 79(3), pages 481-507, May-June.
    2. Edward L. Glaeser & Joseph Gyourko, 2005. "Urban Decline and Durable Housing," Journal of Political Economy, University of Chicago Press, vol. 113(2), pages 345-375, April.
    3. Maria Marta Ferreyra, 2007. "Estimating the Effects of Private School Vouchers in Multidistrict Economies," American Economic Review, American Economic Association, vol. 97(3), pages 789-817, June.
    4. Diewert, W. E., 1973. "Functional forms for profit and transformation functions," Journal of Economic Theory, Elsevier, vol. 6(3), pages 284-316, June.
    5. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    6. Paul A. Samuelson, 1953. "Prices of Factors and Goods in General Equilibrium," Review of Economic Studies, Oxford University Press, vol. 21(1), pages 1-20.
    7. James Levinsohn & Amil Petrin, 2003. "Estimating Production Functions Using Inputs to Control for Unobservables," Review of Economic Studies, Oxford University Press, vol. 70(2), pages 317-341.
    8. Barton A. Smith, 1976. "The Supply of Urban Housing," The Quarterly Journal of Economics, Oxford University Press, vol. 90(3), pages 389-405.
    9. 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.
    10. Arie Beresteanu, 2005. "Nonparametric Analysis of Cost Complementarities in the Telecommunications Industry," RAND Journal of Economics, The RAND Corporation, vol. 36(4), pages 870-889, Winter.
    11. Whitney K. Newey, 2001. "Flexible Simulated Moment Estimation Of Nonlinear Errors-In-Variables Models," The Review of Economics and Statistics, MIT Press, vol. 83(4), pages 616-627, November.
    12. Dale W. Jorgenson & Lawrence J. Lau, 1974. "The Duality of Technology and Economic Behaviour," Review of Economic Studies, Oxford University Press, vol. 41(2), pages 181-200.
    13. ZELLNER, Arnold & KMENTA, Jan & DREZE, Jacques H., 1966. "Specification and estimation of Cobb-Douglas production function models," CORE Discussion Papers RP 12, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Smith, Lawrence B & Rosen, Kenneth T & Fallis, George, 1988. "Recent Developments in Economic Models of Housing Markets," Journal of Economic Literature, American Economic Association, vol. 26(1), pages 29-64, March.
    15. Mundlak, Yair, 1996. "Production Function Estimation: Reviving the Primal," Econometrica, Econometric Society, vol. 64(2), pages 431-438, March.
    16. Ackerberg, Daniel & Caves, Kevin & Frazer, Garth, 2006. "Structural identification of production functions," MPRA Paper 38349, University Library of Munich, Germany.
    17. Olsen, Edgar O, 1969. "A Competitive Theory of the Housing Market," American Economic Review, American Economic Association, vol. 59(4), pages 612-622, Part I Se.
    18. 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.
    19. 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.
    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.
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    24. Susanne M. Schennach, 2004. "Estimation of Nonlinear Models with Measurement Error," Econometrica, Econometric Society, vol. 72(1), pages 33-75, January.
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    More about this item

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R31 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Real Estate Markets, Spatial Production Analysis, and Firm Location - - - Housing Supply and Markets

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