A new approach to computing hedonic equilibria and investigating the properties of locational sorting models

This paper outlines a new way to solve the traditional housing market assignment problem and uses it to investigate the properties of hedonic equilibria. Our approach to computing equilibria is based on Rosen's (1974) bid function. It has four desirable features: (i) convergence implies a hedonic equilibrium; (ii) convergence is guaranteed if a hedonic equilibrium exists; (iii) it can solve for a new equilibrium following a shock to the market; and (iv) if multiple equilibria exist, it can identify them. The algorithm is applied to micro data from San Joaquin County, California, where the choice of a home provides access to public schools in particular school districts. First we calibrate the algorithm to approximately reproduce actual housing prices in San Joaquin County as a hedonic equilibrium. Then we introduce a policy that improves school quality in selected school districts. We find that there are several possibilities for the new equilibrium. For each of these potential equilibria, we compare the marginal willingness to pay for school quality with the rate at which the improvement is capitalized into property values. The resulting capitalization rates differ substantially from marginal willingness to pay.

[1]  V. Smith,et al.  Evaluating Rubin's Causal Model for Measuring the Capitalization of Environmental Amenities , 2009 .

[2]  Sandra E. Black.  Do better schools matter? Parental valuation of elementary education , 1999 .

[3]  Timothy J. Bartik,et al.  Measuring the Benefits of Amenity Improvements in Hedonic Price Models , 1988 .

[4]  Richard Rogerson,et al.  Public Education and Income Distribution: A Dynamic Quantitative Evaluation of Education-Finance Reform , 1998 .

[5]  C. Timmins,et al.  A Note on the Equilibrium Properties of Locational Sorting Models , 2003 .

[6]  David S. Brookshire,et al.  A Test of the Expected Utility Model: Evidence from Earthquake Risks , 1985, Journal of Political Economy.

[7]  S. Rosen.  Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition , 1974, Journal of Political Economy.

[8]  Henk Folmer,et al.  The International Yearbook of Environmental Resource Economics 2001/2002 , 2001 .

[9]  K. Lancaster.  A New Approach to Consumer Theory , 1966, Journal of Political Economy.

[10]  Thomas J. Nechyba,et al.  Mobility, Targeting, and Private-School Vouchers , 2000 .

[11]  Randall Walsh,et al.  Endogenous open space amenities in a locational equilibrium , 2007 .

[12]  Thomas Romer,et al.  Mobility and Redistribution , 1991, Journal of Political Economy.

[13]  E. J. Mishan,et al.  Economic Costs of Air Pollution. , 1969 .

[14]  I. Ekeland.  Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimensional types , 2010 .

[15]  Matthew E. Kahn,et al.  Estimating Housing Demand With an Application to Explaining Racial Segregation in Cities , 2003 .

[16]  Jaren C. Pope.  Buyer Information and the Hedonic: The Impact of a Seller Disclosure on the Implicit Price for Airport Noise , 2008 .

[17]  I. Ekeland.  Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimenstional types , 2008, 0807.3960.

[18]  V. Kerrysmith.  General equilibrium benefits for environmental improvements: projected ozone reductions under EPA's Prospective Analysis for the Los Angeles air basin , 2004 .

[19]  Holger Sieg,et al.  Estimating the General Equilibrium Benefits of Large Changes in Spatially Delineated Public Goods , 2004 .

[20]  D. Starrett,et al.  Land Value Capitalization in Local Public Finance , 1981, Journal of Political Economy.

[21]  Michael Greenstone,et al.  Quasi-Experimental and Experimental Approaches to Environmental Economics , 2007 .

[22]  Dennis Epple,et al.  Estimating Equilibrium Models of Local Jurisdictions , 1998, Journal of Political Economy.

[23]  Christopher Timmins,et al.  Estimating Equilibrium Models of Sorting Across Locations , 2003 .

[24]  M. Cropper.  Valuing Product Attributes Using Single Market Data: A Comparison of Hedonic and Discrete Choice Approaches , 1993 .

[25]  Lucas W. Davis.  The Effect of Health Risk on Housing Values: Evidence from a Cancer Cluster. , 2004, The American economic review.

[26]  Leigh L. Linden,et al.  Estimates of the Impact of Crime Risk on Property Values from Megan's Laws , 2008 .

[27]  J. Poterba.  Taxation and Housing: Old Questions, New Answers , 1992 .

[28]  W. Wheaton,et al.  Linear programming and locational equilibrium: The Herbert-Stevens model revisited , 1974 .

[29]  Jaren C. Pope.  Fear of Crime and Housing Prices: Household Reactions to Sex Offender Registries , 2008 .

[30]  M. Cropper,et al.  On the Choice of Functional Form for Hedonic Price Functions , 1988 .