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A general equilibrium spatial model of housing quality and quantity

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  • Arnott, Richard
  • Braid, Ralph
  • Davidson, Russell
  • Pines, David

Abstract

This paper examines the properties of stationary-state general equilibrium in a monocentric city with durable housing. On the demand side, identical households choose location, housing quality and quantity (floor area), and other goods. On the supply side, developers choose the structural density and time path of quality (which depends on construction quality and maintenance) of buildings. Under a certain set of assumptions, existence and uniqueness of equilibrium are proved, and its comparative static/dynamic properties are determined.
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  • Arnott, Richard & Braid, Ralph & Davidson, Russell & Pines, David, 1999. "A general equilibrium spatial model of housing quality and quantity," Regional Science and Urban Economics, Elsevier, vol. 29(3), pages 283-316, May.
    • Handle: RePEc:eee:regeco:v:29:y:1999:i:3:p:283-316
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    1. Brueckner, Jan K., 1980. "Residential succession and land-use dynamics in a vintage model of urban housing," Regional Science and Urban Economics, Elsevier, vol. 10(2), pages 225-240, June.
    2. T Akita & M Fujita, 1982. "Spatial Development Processes with Renewal in a Growing City," Environment and Planning A, , vol. 14(2), pages 205-223, February.
    3. 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.
    4. Anas, Alex, 1978. "Dynamics of urban residential growth," Journal of Urban Economics, Elsevier, vol. 5(1), pages 66-87, January.
    5. Wheaton, William C., 1977. "A bid rent approach to housing demand," Journal of Urban Economics, Elsevier, vol. 4(2), pages 200-217, April.
    6. Hochman, Oded & Pines, David, 1982. "Costs of Adjustment and the Spatial Pattern of a Growing Open City," Econometrica, Econometric Society, vol. 50(6), pages 1371-1391, November.
    7. Fujita, Masahisa, 1976. "Spatial patterns of urban growth: Optimum and market," Journal of Urban Economics, Elsevier, vol. 3(3), pages 209-241, July.
    8. Brueckner, Jan K., 1980. "A vintage model of urban growth," Journal of Urban Economics, Elsevier, vol. 8(3), pages 389-402, November.
    9. 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.
    10. 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.
    11. Fujita, Masahisa, 1982. "Spatial patterns of residential development," Journal of Urban Economics, Elsevier, vol. 12(1), pages 22-52, July.
    12. Arnott, Richard & Pines, David & Sadka, Efraim, 1986. "The effects of an equiproportional transport improvement in a fully-closed Monocentric City," Regional Science and Urban Economics, Elsevier, vol. 16(3), pages 387-406, August.
    13. Wheaton, William C., 1982. "Urban spatial development with durable but replaceable capital," Journal of Urban Economics, Elsevier, vol. 12(1), pages 53-67, July.
    14. Cooke, Timothy W. & Hamilton, Bruce W., 1984. "Evolution of urban housing stocks: A model applied to Baltimore and Houston," Journal of Urban Economics, Elsevier, vol. 16(3), pages 317-338, November.
    15. 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.
    16. Wheaton, William C., 1982. "Urban residential growth under perfect foresight," Journal of Urban Economics, Elsevier, vol. 12(1), pages 1-21, July.
    17. Brueckner, Jan K., 1981. "A dynamic model of housing production," Journal of Urban Economics, Elsevier, vol. 10(1), pages 1-14, July.
    18. Braid, Ralph M., 1988. "Uniform spatial growth with perfect foresight and durable housing," Journal of Urban Economics, Elsevier, vol. 23(1), pages 41-59, January.
    19. Arnott, Richard, 1987. "Economic theory and housing," Handbook of Regional and Urban Economics, in: E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 2, chapter 24, pages 959-988, Elsevier.
    20. Brueckner, Jan K., 1987. "The structure of urban equilibria: A unified treatment of the muth-mills model," Handbook of Regional and Urban Economics, in: E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 2, chapter 20, pages 821-845, Elsevier.
    21. Braid, Ralph M., 1991. "Residential spatial growth with perfect foresight and multiple income groups," Journal of Urban Economics, Elsevier, vol. 30(3), pages 385-407, November.
    22. Arnott, Richard J., 1980. "A simple urban growth model with durable housing," Regional Science and Urban Economics, Elsevier, vol. 10(1), pages 53-76, March.
    23. 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.
    24. Brueckner, Jan K., 1983. "The economics of urban yard space: An "implicit-market" model for housing attributes," Journal of Urban Economics, Elsevier, vol. 13(2), pages 216-234, March.
    25. Pines, David & Sadka, Efraim, 1986. "Comparative statics analysis of a fully closed city," Journal of Urban Economics, Elsevier, vol. 20(1), pages 1-20, July.
    26. Wheaton, William C., 1974. "A comparative static analysis of urban spatial structure," Journal of Economic Theory, Elsevier, vol. 9(2), pages 223-237, October.
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    2. Juan C. Medina & Robert R. Reed & Ejindu S. Ume, 2015. "The asymmetric effects of monetary policy on housing across the level of development," Estudios Regionales en Economía, Población y Desarrollo. Cuadernos de Trabajo de la Universidad Autónoma de Ciudad Juárez. 30, Cuerpo Académico 41 de la Universidad Autónoma de Ciudad Juárez, revised 01 Nov 2015.
    3. Arnab Bhattacharjee & Jan Ditzen & Sean Holly, 2022. "Spatial and Spatio-Temporal Error Correction, Networks and Common Correlated Effects," Advances in Econometrics, in: Essays in Honor of M. Hashem Pesaran: Panel Modeling, Micro Applications, and Econometric Methodology, volume 43, pages 37-60, Emerald Group Publishing Limited.
    4. Wei‐Bin Zhang, 2008. "Growth and residential distribution with economic structure and amenity: A synthesis of Solow‐Uzawa's growth, Alonso's urban, and Muth's housing models," Papers in Regional Science, Wiley Blackwell, vol. 87(2), pages 277-303, June.
    5. Shin‐Kun Peng & Ping Wang, 2009. "A Normative Analysis of Housing‐Related Tax Policy in a General Equilibrium Model of Housing Quality and Prices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(5), pages 667-696, October.
    6. Kristof Dascher, 2014. "Federal coordination of local housing demolition in the presence of filtering and migration," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 21(3), pages 375-396, June.
    7. repec:grm:ecoyun:202103 is not listed on IDEAS
    8. Bento, Antonio M. & Franco, Sofia F. & Kaffine, Daniel T., 2011. "Effectiveness of housing revitalization subsidies in the presence of zoning," Regional Science and Urban Economics, Elsevier, vol. 41(3), pages 196-206, May.
    9. Braid, Ralph M., 2001. "Spatial Growth and Redevelopment with Perfect Foresight and Durable Housing," Journal of Urban Economics, Elsevier, vol. 49(3), pages 425-452, May.
    10. Zhao, Weihua, 2022. "The long-run effects of minimum lot size zoning on housing redevelopment," Journal of Housing Economics, Elsevier, vol. 55(C).
    11. Chunyan He & Ding Li & Qiong Ma & Daichun Yi, 2022. "City Bias: Affordable Housing Accessibility Assessment—Evidence From 153 Prefectural Cities in China," SAGE Open, , vol. 12(4), pages 21582440221, December.
    12. Wei-Bin Zhang, 2009. "A small open interregional monetary spatial economic growth with the MIU approach," Analele Stiintifice ale Universitatii "Alexandru Ioan Cuza" din Iasi - Stiinte Economice (1954-2015), Alexandru Ioan Cuza University, Faculty of Economics and Business Administration, vol. 56, pages 210-234, November.
    13. Zhang, Wei-Bin, 2013. "The impact of transport, land and fiscal policy on housing and economic geography in a small, open growth model," The Journal of Transport and Land Use, Center for Transportation Studies, University of Minnesota, vol. 6(1), pages 89-100.
    14. Lin, C.-C.Chu-Chia & Mai, Chao-Cheng & Wang, Ping, 2004. "Urban land policy and housing in an endogenously growing monocentric city," Regional Science and Urban Economics, Elsevier, vol. 34(3), pages 241-261, May.
    15. 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.
    16. Bhattacharjee, A. & Ditzen, J. & Holly, S., 2020. "Spatial and Spatio-temporal Engle-Granger representations, Networks and Common Correlated Effects," Cambridge Working Papers in Economics 2075, Faculty of Economics, University of Cambridge.
    17. Reed, Robert R. & Ume, Ejindu S., 2019. "Housing, liquidity risk, and monetary policy," Journal of Macroeconomics, Elsevier, vol. 60(C), pages 138-162.
    18. Wei-Bin Zhang, 2010. "Growth, economic structure, and residential distribution of a small city," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 57(1), pages 47-78, March.
    19. Sims, Katharine R.E. & Schuetz, Jenny, 2009. "Local regulation and land-use change: The effects of wetlands bylaws in Massachusetts," Regional Science and Urban Economics, Elsevier, vol. 39(4), pages 409-421, July.

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    More about this item

    JEL classification:

    • R1 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics
    • R2 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis

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