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A Filtering Model with Steady-State Housing

Author

Listed:
  • Richard Arnott

    (Boston College)

  • Ralph Braid

    (Wayne State University)

Abstract

This paper presents a filtering model of the housing market which is similar to Sweeney's (1974b), except that the maintenance technology is such that housing can be maintained at a constant quality level as well as downgraded, and population at each income level grows continuously over time. In equilibrium, at each moment of time, some housing is allowed to deteriorate in quality, and other housing is maintained in a steady-state interval of qualities.

Suggested Citation

  • Richard Arnott & Ralph Braid, 1995. "A Filtering Model with Steady-State Housing," Boston College Working Papers in Economics 301., Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:301
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    File URL: http://fmwww.bc.edu/EC-P/wp301.pdf
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    References listed on IDEAS

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    1. Berliant, Marcus & ten Raa, Thijs, 1991. "On the continuum approach of spatial and some local public goods or product differentiation models: Some problems," Journal of Economic Theory, Elsevier, vol. 55(1), pages 95-120, October.
    2. O'Flaherty, B., 1995. "An Economic Theory of Homelessness and Housing," Journal of Housing Economics, Elsevier, vol. 4(1), pages 13-49, March.
    3. Richard Arnott & Russell Davidson & David Pines, 1983. "Housing Quality, Maintenance and Rehabilitation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 467-494.
    4. O'Flaherty Brendan, 1993. "Abandoned Buildings: A Stochastic Analysis," Journal of Urban Economics, Elsevier, vol. 34(1), pages 43-74, July.
    5. Braid, Ralph M., 1981. "The short-run comparative statics of a rental housing market," Journal of Urban Economics, Elsevier, vol. 10(3), pages 286-310, November.
    6. Berliant, Marcus & Papageorgiou, Yorgos Y. & Wang, Ping, 1990. "On welfare theory and urban economics," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 245-261, September.
    7. Arnott, Richard & Davidson, Russell & Pines, David, 1986. "Spatial aspects of housing quality, density, and maintenance," Journal of Urban Economics, Elsevier, vol. 19(2), pages 190-217, March.
    8. Sweeney, James L., 1974. "A commodity hierarchy model of the rental housing market," Journal of Urban Economics, Elsevier, vol. 1(3), pages 288-323, July.
    9. Jones, Larry E., 1983. "Existence of equilibria with infinitely many consumers and infinitely many commodities : A theorem based on models of commodity differentiation," Journal of Mathematical Economics, Elsevier, vol. 12(2), pages 119-138, October.
    10. Berliant, Marcus, 1991. "Comments on: 'On the foundations of land use theory: Discrete versus continuous populations' by Y. Asami, M. Fujita and T.E. Smith," Regional Science and Urban Economics, Elsevier, vol. 21(4), pages 639-645, December.
    11. Asami, Y. & Fujita, M. & Smith, T. E., 1991. "On the foundations of land use theory : Discrete versus continuous populations," Regional Science and Urban Economics, Elsevier, vol. 20(4), pages 473-508, February.
    12. Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, vol. 50(4), pages 975-985, July.
    13. Alex Anas & Richard Arnott, 1989. "Dynamic Housing Market Equilibrium with Taste Heterogeneity," Discussion Papers 834, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. Ohls, James C., 1975. "Public policy toward low income housing and filtering in housing markets," Journal of Urban Economics, Elsevier, vol. 2(2), pages 144-171, April.
    15. Rothenberg, Jerome & Galster, George C. & Butler, Richard V. & Pitkin, John R., 1991. "The Maze of Urban Housing Markets," University of Chicago Press Economics Books, University of Chicago Press, number 9780226729510, September.
    16. Zame, William R, 1987. "Competitive Equilibria in Production Economies with an Infinite-Dimensional Commodity Space," Econometrica, Econometric Society, vol. 55(5), pages 1075-1108, September.
    17. Braid, Ralph M., 1984. "The effects of government housing policies in a vintage filtering model," Journal of Urban Economics, Elsevier, vol. 16(3), pages 272-296, November.
    18. Braid, Ralph M., 1986. "The comparative statics of a filtering model of housing with two income groups," Regional Science and Urban Economics, Elsevier, vol. 16(3), pages 437-448, August.
    19. Papageorgiou, Yorgos Y. & Pines, David, 1990. "The logical foundations of urban economics are consistent," Journal of Economic Theory, Elsevier, vol. 50(1), pages 37-53, February.
    20. Beckmann, Martin J., 1969. "On the distribution of urban rent and residential density," Journal of Economic Theory, Elsevier, vol. 1(1), pages 60-67, June.
    21. Fujita, Masahisa & Smith, Tony E., 1987. "Existence of continuous residential land-use equilibria," Regional Science and Urban Economics, Elsevier, vol. 17(4), pages 549-594, November.
    22. Gerber, Robert I., 1986. "Efficiency of markets for heterogeneous, indivisible housing," Regional Science and Urban Economics, Elsevier, vol. 16(3), pages 407-419, August.
    23. White, Michelle J., 1986. "Property taxes and urban housing abandonment," Journal of Urban Economics, Elsevier, vol. 20(3), pages 312-330, November.
    24. Asami, Y. & Fujita, M. & Smith, T. E., 1991. "Reply to comments by Berliant," Regional Science and Urban Economics, Elsevier, vol. 21(4), pages 647-648, December.
    25. Sweeney, James L, 1974. "Quality, Commodity Hierarchies, and Housing Markets," Econometrica, Econometric Society, vol. 42(1), pages 147-167, January.
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    Cited by:

    1. Rosenthal, Stuart S., 2008. "Old homes, externalities, and poor neighborhoods. A model of urban decline and renewal," Journal of Urban Economics, Elsevier, vol. 63(3), pages 816-840, May.
    2. Rosenthal, Stuart S. & Ross, Stephen L., 2015. "Change and Persistence in the Economic Status of Neighborhoods and Cities," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 1047-1120, Elsevier.
    3. Brzezicka, Justyna & Łaszek, Jacek & Olszewski, Krzysztof & Waszczuk, Joanna, 2019. "Analysis of the filtering process and the ripple effect on the primary and secondary housing market in Warsaw, Poland," Land Use Policy, Elsevier, vol. 88(C).
    4. Kaneko, Mamoru & Ito, Tamon & Osawa, Yu-ichi, 2006. "Duality in comparative statics in rental housing markets with indivisibilities," Journal of Urban Economics, Elsevier, vol. 59(1), pages 142-170, January.
    5. Andrés Rodríguez-Pose & Michael Storper, 2022. "Dodging the burden of proof: A reply to Manville, Lens and Mönkkönen," Urban Studies, Urban Studies Journal Limited, vol. 59(1), pages 59-74, January.
    6. Sören Gröbel, 2018. "Regional heterogeneity in age-related housing depreciation rates [Regionale Heterogenität altersbedingter Wertminderungen von Wohnimmobilien]," Review of Regional Research: Jahrbuch für Regionalwissenschaft, Springer;Gesellschaft für Regionalforschung (GfR), vol. 38(2), pages 219-254, October.
    7. Lyndsey Rolheiser, 2021. "Old, small and unwanted: Post-war housing and neighbourhood socioeconomic status," Urban Studies, Urban Studies Journal Limited, vol. 58(14), pages 2952-2970, November.
    8. Mense, Andreas, 2020. "The Impact of New Housing Supply on the Distribution of Rents," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224569, Verein für Socialpolitik / German Economic Association.
    9. Kindström, Gabriella & Liang, Che-Yuan, 2024. "Does new housing for the rich benefit the poor? On trickle-down effects of new homes," SocArXiv u7hjv, Center for Open Science.
    10. Liu, Liyi & McManus, Doug & Yannopoulos, Elias, 2022. "Geographic and temporal variation in housing filtering rates," Regional Science and Urban Economics, Elsevier, vol. 93(C).
    11. Michael Manville & Michael Lens & Paavo Monkkonen, 2022. "Zoning and affordability: A reply to Rodríguez-Pose and Storper," Urban Studies, Urban Studies Journal Limited, vol. 59(1), pages 36-58, January.
    12. Reed, Robert R. & Ume, Ejindu S., 2019. "Housing, liquidity risk, and monetary policy," Journal of Macroeconomics, Elsevier, vol. 60(C), pages 138-162.
    13. Dominik Weiß & Claus Michelsen, 2011. "The improvement of housing conditions in post com-munist Germany – Market Mechanisms and Subsidy Impacts," ERSA conference papers ersa11p505, European Regional Science Association.

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    More about this item

    Keywords

    filtering; housing; maintenance;
    All these keywords.

    JEL classification:

    • R2 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis

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