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Dynamic Henry George Theorem and Optimal City Sizes

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  • Shihe Fu

Abstract

The Henry George Theorem (HGT) in static models states that when a city has an optimal population size, aggregate urban differential land rents exactly cover costs of pure public goods. This paper extends the static HGT to dynamic settings. Through a series of dynamic models, the paper tentatively concludes that the HGT holds in dynamic settings in terms of present value—the present value of urban differential land rents equals the present value of public goods expenditure. In urban economies with congestion externalities or production externalities, the dynamic HGT still holds if externalities are priced correctly.

Suggested Citation

  • Shihe Fu, 2025. "Dynamic Henry George Theorem and Optimal City Sizes," International Studies of Economics, John Wiley & Sons, vol. 20(2), pages 211-223, June.
    • Handle: RePEc:wly:intsec:v:20:y:2025:i:2:p:211-223
    DOI: 10.1002/ise3.70013
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    References listed on IDEAS

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    1. Starrett, David A., 1974. "Principles of optimal location in a large homogeneous area," Journal of Economic Theory, Elsevier, vol. 9(4), pages 418-448, December.
    2. John M. Hartwick, 1980. "The Henry George Rule, Optimal Population, and Interregional Equity," Canadian Journal of Economics, Canadian Economics Association, vol. 13(4), pages 695-700, November.
    3. James E. Rauch, 1993. "Does History Matter Only When It Matters Little? The Case of City-Industry Location," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 843-867.
    4. Boucekkine, Raouf & Camacho, Carmen & Zou, Benteng, 2009. "Bridging The Gap Between Growth Theory And The New Economic Geography: The Spatial Ramsey Model," Macroeconomic Dynamics, Cambridge University Press, vol. 13(1), pages 20-45, February.
    5. Lee, Kangoh, 2005. "Land taxation and the Henry George theorem under uncertainty," Journal of Urban Economics, Elsevier, vol. 58(1), pages 11-23, July.
    6. Behrens, Kristian & Murata, Yasusada, 2009. "City size and the Henry George Theorem under monopolistic competition," Journal of Urban Economics, Elsevier, vol. 65(2), pages 228-235, March.
    7. Richard Arnott, 2004. "Does the Henry George Theorem Provide a Practical Guide to Optimal City Size?," American Journal of Economics and Sociology, Wiley Blackwell, vol. 63(5), pages 1057-1090, November.
    8. Arnott, Richard, 1979. "Optimal city size in a spatial economy," Journal of Urban Economics, Elsevier, vol. 6(1), pages 65-89, January.
    9. Schweizer, Urs, 1996. "Endogenous fertility and the Henry George Theorem," Journal of Public Economics, Elsevier, vol. 61(2), pages 209-228, August.
    10. Brueckner, Jan K., 1997. "Infrastructure financing and urban development:: The economics of impact fees," Journal of Public Economics, Elsevier, vol. 66(3), pages 383-407, December.
    11. Richard J. Arnott & Joseph E. Stiglitz, 1979. "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 471-500.
    12. Kanemoto, Yoshitsugu, 1980. "Theories of urban externalities," MPRA Paper 24614, University Library of Munich, Germany.
    13. Kanemoto, Yoshitsugu & Ohkawara, Toru & Suzuki, Tsutomu, 1996. "Agglomeration Economies and a Test for Optimal City Sizes in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 379-398, December.
    14. Berglas, Eitan & Pines, David, 1981. "Clubs, local public goods and transportation models : A synthesis," Journal of Public Economics, Elsevier, vol. 15(2), pages 141-162, April.
    15. Davis, Morris A. & Heathcote, Jonathan, 2007. "The price and quantity of residential land in the United States," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2595-2620, November.
    16. Albouy, David & Ehrlich, Gabriel, 2018. "Housing productivity and the social cost of land-use restrictions," Journal of Urban Economics, Elsevier, vol. 107(C), pages 101-120.
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