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Optimal City Hierarchy: A Dynamic Programming Approach to Central Place Theory

Author

Listed:
  • Wen-Tai Hsu

    (Chinese University of Hong Kong)

  • Thomas J. Holmes

    (University of Minnesota)

Abstract
It is an empirically plausible description of cities and is route to explain empirical regularities in city size distribution and industrial locations. This paper formalizes central place hierarchy by providing a rationale for it via a social planner's problem. The optimal city hierarchy is then compared with the equilibrium city hierarchy in Hsu (2008).

Suggested Citation

  • Wen-Tai Hsu & Thomas J. Holmes, 2009. "Optimal City Hierarchy: A Dynamic Programming Approach to Central Place Theory," 2009 Meeting Papers 342, Society for Economic Dynamics.
    • Handle: RePEc:red:sed009:342
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    References listed on IDEAS

    as
    1. Jan Eeckhout, 2004. "Gibrat's Law for (All) Cities," American Economic Review, American Economic Association, vol. 94(5), pages 1429-1451, December.
    2. Gilles Duranton, 2007. "Urban Evolutions: The Fast, the Slow, and the Still," American Economic Review, American Economic Association, vol. 97(1), pages 197-221, March.
    3. Esteban Rossi-Hansberg & Mark L. J. Wright, 2007. "Urban Structure and Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 597-624.
    4. Marcus Berliant & Hiroki Watanabe, 2015. "Explaining the size distribution of cities: Extreme economies," Quantitative Economics, Econometric Society, vol. 6(1), pages 153-187, March.
    5. Fujita, Masahisa & Krugman, Paul & Mori, Tomoya, 1999. "On the evolution of hierarchical urban systems1," European Economic Review, Elsevier, vol. 43(2), pages 209-251, February.
    6. Eaton, B Curtis & Lipsey, Richard G, 1982. "An Economic Theory of Central Places," Economic Journal, Royal Economic Society, vol. 92(365), pages 56-72, March.
    7. Tomoya Mori & Koji Nishikimi & Tony E. Smith, 2008. "The Number‐Average Size Rule: A New Empirical Relationship Between Industrial Location And City Size," Journal of Regional Science, Wiley Blackwell, vol. 48(1), pages 165-211, February.
    8. Duranton, Gilles, 2006. "Some foundations for Zipf's law: Product proliferation and local spillovers," Regional Science and Urban Economics, Elsevier, vol. 36(4), pages 542-563, July.
    9. Quinzii, Martine & Thisse, Jacques-Francois, 1990. "On the Optimality of Central Places," Econometrica, Econometric Society, vol. 58(5), pages 1101-1119, September.
    10. Soo, Kwok Tong, 2005. "Zipf's Law for cities: a cross-country investigation," Regional Science and Urban Economics, Elsevier, vol. 35(3), pages 239-263, May.
    11. Córdoba, Juan-Carlos, 2008. "On the distribution of city sizes," Journal of Urban Economics, Elsevier, vol. 63(1), pages 177-197, January.
    12. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-640, May.
    13. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    14. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 739-767.
    15. Holmes, Thomas J. & Stevens, John J., 2004. "Spatial distribution of economic activities in North America," Handbook of Regional and Urban Economics, in: J. V. Henderson & J. F. Thisse (ed.), Handbook of Regional and Urban Economics, edition 1, volume 4, chapter 63, pages 2797-2843, Elsevier.
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    Cited by:

    1. Derek Doran & Andrew Fox, 2016. "Operationalizing Central Place and Central Flow Theory With Mobile Phone Data," Annals of Data Science, Springer, vol. 3(1), pages 1-24, March.
    2. Gordon Mulligan & Mark Partridge & John Carruthers, 2012. "Central place theory and its reemergence in regional science," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(2), pages 405-431, April.
    3. Tabuchi, Takatoshi, 2009. "Self-organizing marketplaces," Journal of Urban Economics, Elsevier, vol. 66(3), pages 179-185, November.
    4. Tabuchi, Takatoshi & Thisse, Jacques-François, 2011. "A new economic geography model of central places," Journal of Urban Economics, Elsevier, vol. 69(2), pages 240-252, March.
    5. Wei Lang & Muzhe Pan & Jiemin Wu & Tingting Chen & Xun Li, 2021. "The patterns and driving forces of uneven regional growth in ASEAN countries: A tale of two Thailands' path toward regional coordinated development," Growth and Change, Wiley Blackwell, vol. 52(1), pages 130-149, March.

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