IDEAS home Printed from https://ideas.repec.org/p/qed/wpaper/739.html
   My bibliography  Save this paper

A General Equilibrium Spatial Model of Housing Quality and Quantity

Author

Listed:
  • Richard Arnott
  • Ralph Braid
  • Russell Davidson
  • David Pines

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, and other goods. On the supply side, developers choose the structural density and time path of building quality. Under a certain set of assumptions, existence and uniqueness of equilibrium are proved, and its comparative static/dynamic properties determined.

Suggested Citation

  • Richard Arnott & Ralph Braid & Russell Davidson & David Pines, 1988. "A General Equilibrium Spatial Model of Housing Quality and Quantity," Working Paper 739, Economics Department, Queen's University.
    • Handle: RePEc:qed:wpaper:739
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    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. Brueckner, Jan K., 1980. "A vintage model of urban growth," Journal of Urban Economics, Elsevier, vol. 8(3), pages 389-402, November.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Anas, Alex, 1978. "Dynamics of urban residential growth," Journal of Urban Economics, Elsevier, vol. 5(1), pages 66-87, January.
    10. Wheaton, William C., 1977. "A bid rent approach to housing demand," Journal of Urban Economics, Elsevier, vol. 4(2), pages 200-217, April.
    11. Fujita, Masahisa, 1982. "Spatial patterns of residential development," Journal of Urban Economics, Elsevier, vol. 12(1), pages 22-52, July.
    12. 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.
    13. 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.
    14. 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.
    15. Wheaton, William C., 1982. "Urban spatial development with durable but replaceable capital," Journal of Urban Economics, Elsevier, vol. 12(1), pages 53-67, July.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. Fujita, Masahisa, 1976. "Spatial patterns of urban growth: Optimum and market," Journal of Urban Economics, Elsevier, vol. 3(3), pages 209-241, July.
    21. 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.
    22. 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.
    23. Wheaton, William C., 1982. "Urban residential growth under perfect foresight," Journal of Urban Economics, Elsevier, vol. 12(1), pages 1-21, July.
    24. Brueckner, Jan K., 1981. "A dynamic model of housing production," Journal of Urban Economics, Elsevier, vol. 10(1), pages 1-14, July.
    25. Wheaton, William C., 1974. "A comparative static analysis of urban spatial structure," Journal of Economic Theory, Elsevier, vol. 9(2), pages 223-237, October.
    26. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wei-Bin Zhang, 2011. "Interregional economic growth with transportation and residential distribution," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 46(1), pages 219-245, February.
    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. Wei-Bin Zhang, 2021. "Growth With Residential Density, Land Rent And Land Value," Economia Coyuntural,Revista de temas de perspectivas y coyuntura, Instituto de Investigaciones Economicas y Sociales 'Jose Ortiz Mercado' (IIES-JOM), Facultad de Ciencias Economicas, Administrativas y Financieras, Universidad Autonoma Gabriel Rene Moreno, vol. 6(1), pages 79-116.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Richard Arnott & Petia Petrova, 2006. "The Property Tax as a Tax on Value: Deadweight Loss," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 13(2), pages 241-266, May.
    3. Kono, Tatsuhito & Kotoku, Toshiaki & Otazawa, Toshimori, 2012. "Residential land use with demographic dynamics of young and old generations," Journal of Housing Economics, Elsevier, vol. 21(4), pages 283-295.
    4. Kono, Tatsuhito & Tsutaki, Keisuke, 2023. "Residential Land Use and Utilities of Multiple Generations with Lifespan Perspectives and Demographic Dynamics," MPRA Paper 117595, University Library of Munich, Germany.
    5. Agustin Rodriguez-Bachiller, 1986. "Discontiguous Urban Growth and the New Urban Economics: A Review," Urban Studies, Urban Studies Journal Limited, vol. 23(2), pages 79-104, April.
    6. Duranton, Gilles & Puga, Diego, 2015. "Urban Land Use," 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 467-560, Elsevier.
    7. Siodla, James, 2015. "Razing San Francisco: The 1906 disaster as a natural experiment in urban redevelopment," Journal of Urban Economics, Elsevier, vol. 89(C), pages 48-61.
    8. 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.
    9. Steven Heubeck, 2009. "Competitive sprawl," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 443-460, June.
    10. Palivos, Theodore & Wang, Ping, 1996. "Spatial agglomeration and endogenous growth," Regional Science and Urban Economics, Elsevier, vol. 26(6), pages 645-669, December.
    11. Arnott, Richard J. & Braid, Ralph M., 1997. "A filtering model with steady-state housing," Regional Science and Urban Economics, Elsevier, vol. 27(4-5), pages 515-546, August.
    12. Kiyoshi Yonemoto, 2007. "Endogenous determination of historical amenities and the residential location choice," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 41(4), pages 967-993, December.
    13. Masatomo Suzuki & Yasushi Asami, 2019. "Shrinking metropolitan area: Costly homeownership and slow spatial shrinkage," Urban Studies, Urban Studies Journal Limited, vol. 56(6), pages 1113-1128, May.
    14. Sumit Agarwal & Yanying Chen & Jing Li & Yi Jin Tan, 2021. "Hedonic Price of Housing Space," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 49(2), pages 574-609, June.
    15. Frame, David, 2013. "Saving and consumption in cities," Journal of Urban Economics, Elsevier, vol. 73(1), pages 111-124.
    16. Elena G. Irwin, 2010. "New Directions For Urban Economic Models Of Land Use Change: Incorporating Spatial Dynamics And Heterogeneity," Journal of Regional Science, Wiley Blackwell, vol. 50(1), pages 65-91, February.
    17. Pablo Brañas-Garza & Javier Rodero Cosano & John R. Presley, 2002. "The North-South divide and house price islands: the case of CÓrdoba (Spain)," European Journal of Housing Policy, Taylor and Francis Journals, vol. 2(1), pages 45-63.
    18. Rena Sivitanidou, 1999. "Office Rent Processes: The Case of U.S. Metropolitan Markets," Working Paper 8664, USC Lusk Center for Real Estate.
    19. 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.
    20. Sungin Ahn & Richard Arnott, 2022. "Market power and urban housing development," Environment and Planning B, , vol. 49(3), pages 915-932, March.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:qed:wpaper:739. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mark Babcock (email available below). General contact details of provider: https://edirc.repec.org/data/qedquca.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.