IDEAS home Printed from https://ideas.repec.org/a/bla/ijethy/v4y2008i4p459-481.html
   My bibliography  Save this article

Core equivalence for residential land use models

Author

Listed:
  • Courtney LaFountain

Abstract

I demonstrate that in the monocentric city model, an allocation is in the core if and only if it is an equilibrium allocation, as long as households are endowed with strictly positive quantities of a composite consumption good, enjoy any net trade bundle at least as much as they enjoy one on the boundary of their choice set, have monotonic preferences, have preferences and endowments that are not too different, and as long as there is land at every location. I also show that equilibria exist in these circumstances, so the core is not empty.

Suggested Citation

  • Courtney LaFountain, 2008. "Core equivalence for residential land use models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 459-481, December.
    • Handle: RePEc:bla:ijethy:v:4:y:2008:i:4:p:459-481
    DOI: 10.1111/j.1742-7363.2008.00089.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1742-7363.2008.00089.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1742-7363.2008.00089.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
    3. Berliant, Marcus & Fujita, Masahisa, 1992. "Alonso's Discrete Population Model of Land Use: Efficient Allocations and Competitive Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 535-566, August.
    4. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455.
    5. Ostroy, Joseph M & Zame, William R, 1994. "Nonatomic Economies and the Boundaries of Perfect Competition," Econometrica, Econometric Society, vol. 62(3), pages 593-633, May.
    6. Marcus Berliant & Thijs ten Raa, 2007. "Equilibrium And The Core In Alonso'S Discrete Population Model Of Land Use," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(1), pages 235-246, February.
    7. Sato, Yasuhiro, 2004. "City structure, search, and workers' job acceptance behavior," Journal of Urban Economics, Elsevier, vol. 55(2), pages 350-370, March.
    8. de Bartolome, Charles A. M. & Ross, Stephen L., 2003. "Equilibria with local governments and commuting: income sorting vs income mixing," Journal of Urban Economics, Elsevier, vol. 54(1), pages 1-20, July.
    9. Verhoef, Erik T., 2005. "Second-best congestion pricing schemes in the monocentric city," Journal of Urban Economics, Elsevier, vol. 58(3), pages 367-388, November.
    10. Bernard Cornet & Jean-Philippe Medecin, 2000. "Existence of General Equilibrium for Spatial Economies," Econometric Society World Congress 2000 Contributed Papers 1107, Econometric Society.
    11. Schweizer, Urs & Varaiya, Pravin & Hartwick, John, 1976. "General equilibrium and location theory," Journal of Urban Economics, Elsevier, vol. 3(3), pages 285-303, July.
    12. Marco Castaneda & James Marton, 2008. "A Model of Commodity Differentiation with Indivisibilities and Production," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 85-106, January.
    13. Sukkoo Kim, 2007. "Changes In The Nature Of Urban Spatial Structure In The United States, 1890–2000," Journal of Regional Science, Wiley Blackwell, vol. 47(2), pages 273-287, May.
    14. Berliant, Marcus & Konishi, Hideo, 2000. "The endogenous formation of a city: population agglomeration and marketplaces in a location-specific production economy," Regional Science and Urban Economics, Elsevier, vol. 30(3), pages 289-324, May.
    15. 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.
    16. Wheaton, William C., 1974. "A comparative static analysis of urban spatial structure," Journal of Economic Theory, Elsevier, vol. 9(2), pages 223-237, October.
    17. 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.
    18. Edwin S. Mills & Jee Peng Tan, 1980. "A Comparison of Urban Population Density Functions in Developed and Developing Countries," Urban Studies, Urban Studies Journal Limited, vol. 17(3), pages 313-321, October.
    19. Courtney Lafountain, 2007. "Endogenous City Formation with Production Externalities: Existence of Equilibrium," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 959-978, December.
    20. Grimaud, A. & Laffont, J. J., 1989. "Existence of a spatial equilibrium," Journal of Urban Economics, Elsevier, vol. 25(2), pages 213-218, March.
    Full references (including those not matched with items on IDEAS)

    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. Marcus Berliant & Yves Zenou, 2014. "Labor Differentiation and Agglomeration in General Equilibrium," International Regional Science Review, , vol. 37(1), pages 36-65, January.
    2. Yves Zenou, 1996. "Marché du travail et économie urbaine. Essai d'intégration," Revue Économique, Programme National Persée, vol. 47(2), pages 263-288.
    3. Konishi, Hideo, 2008. "Tiebout's tale in spatial economies: Entrepreneurship, self-selection, and efficiency," Regional Science and Urban Economics, Elsevier, vol. 38(5), pages 461-477, September.
    4. Berliant, M. & Ten Raa, T., 2003. "Increasing returns to scale and perfect competition : The role of land," Other publications TiSEM c4f1929e-6651-4959-b757-4, Tilburg University, School of Economics and Management.
    5. Berliant, Marcus & ten Raa, Thijs, 2003. "Increasing returns and perfect competition: the role of land," Journal of Urban Economics, Elsevier, vol. 54(2), pages 339-367, September.
    6. André Grimaud, 1990. "Boîte d'Edgeworth et théorie de la localisation," Revue Économique, Programme National Persée, vol. 41(3), pages 531-546.
    7. Alex Anas & Richard Arnott & Kenneth A. Small, 1998. "Urban Spatial Structure," Journal of Economic Literature, American Economic Association, vol. 36(3), pages 1426-1464, September.
    8. 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.
    9. Marcus Berliant & Thijs ten Raa, 2007. "Equilibrium And The Core In Alonso'S Discrete Population Model Of Land Use," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(1), pages 235-246, February.
    10. Berliant, Marcus & Konishi, Hideo, 2000. "The endogenous formation of a city: population agglomeration and marketplaces in a location-specific production economy," Regional Science and Urban Economics, Elsevier, vol. 30(3), pages 289-324, May.
    11. Marcus Berliant & Tomoya Mori, 2017. "Beyond urban form: How Masahisa Fujita shapes us," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 5-28, March.
    12. Berliant, Marcus & Yu, Chia-Ming, 2013. "Rational expectations in urban economics," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 197-208.
    13. Berliant, Marcus & Sabarwal, Tarun, 2008. "When worlds collide: Different comparative static predictions of continuous and discrete agent models with land," Regional Science and Urban Economics, Elsevier, vol. 38(5), pages 438-444, September.
    14. Dimitrios Xefteris & Nicholas Ziros, 2014. "A Spatial Model of Perfect Competition," University of Cyprus Working Papers in Economics 05-2014, University of Cyprus Department of Economics.
    15. Sato, Yasuhiro & Xiao, Wei, 2015. "Land development, search frictions and city structure," Regional Science and Urban Economics, Elsevier, vol. 50(C), pages 63-76.
    16. Berliant, Marcus & Dunz, Karl, 2004. "A foundation of location theory: existence of equilibrium, the welfare theorems, and core," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 593-618, August.
    17. Eric Hanushek & Kuzey Yilmaz, 2010. "Household Location and Schools in Metropolitan Areas with Heterogeneous Suburbs: Tiebout, Alonso, and Government Policy," Discussion Papers 09-012, Stanford Institute for Economic Policy Research.
    18. Berliant, Marcus & Peng, Shin-Kun & Wang, Ping, 2006. "Welfare analysis of the number and locations of local public facilities," Regional Science and Urban Economics, Elsevier, vol. 36(2), pages 207-226, March.
    19. 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.
    20. Zenou, Yves, 2009. "Endogenous job destruction and job matching in cities," Journal of Urban Economics, Elsevier, vol. 65(3), pages 323-336, May.

    More about this item

    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:bla:ijethy:v:4:y:2008:i:4:p:459-481. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355 .

    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.