A Hierarchical Model of Housing Choice

Abstract

The main objective of this paper is the construction of an expanded model of housing choice that includes not only tenure choice, which has traditionally been the subject of analysis, but also other housing characteristic choices. In this model the probability of the household making a given tenure choice is estimated at the first level of a choice hierarchy. The family's choices over dwelling size and quality are then estimated at succeeding levels of that hierarchy, conditionally on the choices which precede them. These conditional probabilities can be combined with the probability of tenure choice to produce eight joint probabilities of housing choice. In addition, for a particular household or group of households, we can determine the effect of a change in any of the systems variables on the probability of the families making a given housing choice.

In the empirical section it is demonstrated that this model provides much greater insight than the conventional tenure choice study regarding the effects of income, relative prices, and other socioeconomic variables on the family's housing choices. Consequently, it is concluded that models of this type should provide a superior tool for designing effective housing policy.

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References

Bishop, Y.M. , Fienberg, E. and Holland, P.W. (1975). Discrete Multivariate Analysis: Theory and Practice , Cambridge, Massachusetts: MIT Press.

Boehm, T.P. (1979). Tenure choice and expected mobility: a synthesis, mimeographed. Department of Finance, University of Tennessee.

Commission On Mortgage Interest Rates. (1973 ). Mortgage market developments in the post-war period, Housing Urban America, J. Pynoos , R. Schafer , and C. Hartman , eds., Chicago: Aldine Publishing Co., pp. 316-320.

Debreu, G. (1960). Review of R. Luce, individual choice behavior American Economic Review, Vol. 50: 186-188.

Domenich, T.A. and McFadden, D. (1975). Urban Travel Demand, A Behavioral Analysis, New York: American Elevier Publishing Company.

Ihlanfeldt, K.R. (1978). The Demandfor Housing. Unpublished Ph.D. dissertation , Washington University.

Kain, J.F. and Quigley, J.M. (1975). Housing Markets and Racial Discrimination: A Microeconomic Analysis, New York: National Bureau of Economic Research.

Lancaster, K.J. (1966). A new approach to consumer theory, Journal of Political Economy, Vol. 74: 132-157.

Leven, C.L. , Little, J.T. , Nourse, H.O. and Read, R.B. (1976). Neighborhood Change: Lessons in the Dynamic of Urban Decay, New York: Praeger Publishers .

10.

Li Mingche (1977). A logit model of home-ownership, Econometrica, Vol. 45: 1081-1095.

11.

McFadden, D. (1973). Conditional logit analysis of qualitative choice behavior, Frontiers in Econometrics, ed. by P. Zarembka , New York: Academic Press, pp. 105-142.

12.

. ( 1978). On the use of probabilistic choice models in economics , prepared for presentation at the meetings of the American Economic Association, Chicago, Illinois, August 29-31.

13.

( 1976). Quantal choice analysis. a survey, Annals of Economic and Social Measurement, Vol. 5: 363-390.

14.

Quigley, J.M. (1976). Housing demand in the short run: an analysis of polytomous choice, Explorations in Economic Research, Vol. 3, 76-102.

15.

Shelton, J.B. (1968). The cost of renting versus owning a home, Land Economics, Vol. 44: 59-72.

16.

Struyk, R.J. (1976). Urban Homeownership, Lexington, Massachusetts: D. C. Heath and Company.

17.

Theil, H. (1970). On the estimation of relationships involving qualitative variables, American Journal of Sociology, Vol. 76: 103-154.

18.

Trost, R.P. (1976). Estimation of a housing demand model with interdependent choices about owning or renting. Working Paper No. 76-77-07, Department of Economics, University of Florida, Gainesville, Florida.

19.

Us Department Of Labor, Bureau Of Labor Statistics (1972). 3 Budgets for an Urban Family of Four Persons, 1969-70, supplement to Bulletin 1570-75, Washington, D.C.