IDEAS home Printed from https://ideas.repec.org/p/lvl/lacicr/0834.html
   My bibliography  Save this paper

City Size and the Henry George Theorem under Monopolistic Competition

Author

Listed:
  • Kristian Behrens
  • Yasusada Murata

Abstract

We analyze the equilibrium and the optimal resource allocations in a monocentric city under monopolistic competition. Unlike the constant elasticity of substitution (CES) case, where the equilibrium markups are independent of city size, we present a variable elasticity of substitution (VES) case where the equilibrium markups fall with city size. We then show that, due to excess entry triggered by such pro-competitive effects, the "golden rule" of local public finance, i.e., the Henry George Theorem (HGT), does not hold at the second best. We finally prove, within a more general framework, that the HGT holds at the second best under monopolistic competition if and only if the second-best allocation is first-best efficient, which reduces to the CES case.

Suggested Citation

  • Kristian Behrens & Yasusada Murata, 2008. "City Size and the Henry George Theorem under Monopolistic Competition," Cahiers de recherche 0834, CIRPEE.
  • Handle: RePEc:lvl:lacicr:0834
    as

    Download full text from publisher

    File URL: http://www.cirpee.org/fileadmin/documents/Cahiers_2008/CIRPEE08-34.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Au, Chun-Chung & Henderson, J. Vernon, 2006. "How migration restrictions limit agglomeration and productivity in China," Journal of Development Economics, Elsevier, vol. 80(2), pages 350-388, August.
    2. Henderson, J V, 1974. "The Sizes and Types of Cities," American Economic Review, American Economic Association, vol. 64(4), pages 640-656, September.
    3. Helsley, Robert W. & Strange, William C., 1990. "Matching and agglomeration economies in a system of cities," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 189-212, September.
    4. Murata, Yasusada & Thisse, Jacques-Francois, 2005. "A simple model of economic geography a la Helpman-Tabuchi," Journal of Urban Economics, Elsevier, vol. 58(1), pages 137-155, July.
    5. Duranton, Gilles & Puga, Diego, 2004. "Micro-foundations of urban agglomeration economies," 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 48, pages 2063-2117, Elsevier.
    6. 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.
    7. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    8. Chad Syverson, 2004. "Market Structure and Productivity: A Concrete Example," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1181-1222, December.
    9. Jeffrey R. Campbell & Hugo A. Hopenhayn, 2005. "Market Size Matters," Journal of Industrial Economics, Wiley Blackwell, vol. 53(1), pages 1-25, March.
    10. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    11. Richard J. Arnott & Joseph E. Stiglitz, 1979. "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 471-500.
    12. 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.
    13. Flatters, Frank & Henderson, Vernon & Mieszkowski, Peter, 1974. "Public goods, efficiency, and regional fiscal equalization," Journal of Public Economics, Elsevier, vol. 3(2), pages 99-112, May.
    14. Benassy, Jean-Pascal, 1996. "Taste for variety and optimum production patterns in monopolistic competition," Economics Letters, Elsevier, vol. 52(1), pages 41-47, July.
    15. Joseph E. Stiglitz, 1977. "The Theory of Local Public Goods," International Economic Association Series, in: Martin S. Feldstein & Robert P. Inman (ed.), The Economics of Public Services, chapter 12, pages 274-333, Palgrave Macmillan.
    16. Chun-Chung Au & J. Vernon Henderson, 2006. "Are Chinese Cities Too Small?," Review of Economic Studies, Oxford University Press, vol. 73(3), pages 549-576.
    17. Thomas J. Holmes, 1999. "Scale of Local Production and City Size," American Economic Review, American Economic Association, vol. 89(2), pages 317-320, May.
    18. Behrens, Kristian & Murata, Yasusada, 2007. "General equilibrium models of monopolistic competition: A new approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 776-787, September.
    19. N. Gregory Mankiw & Michael D. Whinston, 1986. "Free Entry and Social Inefficiency," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 48-58, Spring.
    20. 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.
    21. Arnott, Richard, 1979. "Optimal city size in a spatial economy," Journal of Urban Economics, Elsevier, vol. 6(1), pages 65-89, January.
    22. Fujita, Masahisa & Mori, Tomoya & Henderson, J. Vernon & Kanemoto, Yoshitsugu, 2004. "Spatial distribution of economic activities in Japan and China," 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 65, pages 2911-2977, Elsevier.
    23. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x.
    24. 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.
    25. Ethier, Wilfred J, 1982. "National and International Returns to Scale in the Modern Theory of International Trade," American Economic Review, American Economic Association, vol. 72(3), pages 389-405, June.
    26. J. V. Henderson & J. F. Thisse (ed.), 2004. "Handbook of Regional and Urban Economics," Handbook of Regional and Urban Economics, Elsevier, edition 1, volume 4, number 4.
    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. Behrens, Kristian & Kanemoto, Yoshitsugu & Murata, Yasusada, 2015. "The Henry George Theorem in a second-best world," Journal of Urban Economics, Elsevier, vol. 85(C), pages 34-51.
    2. 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.
    3. Wei-Bin Zhang, 2020. "Monopsony and Discrimination in Labor Market in the Solow-Stiglitz Two-Group Neoclassical Growth Model," World Journal of Applied Economics, WERI-World Economic Research Institute, vol. 6(1), pages 1-19, June.
    4. André de Palma & Alexandre Guimard, 2014. "Urbanism, an overview," Working Papers hal-00969574, HAL.
    5. Stefan Dodds & Mati Dubrovinsky, 2015. "Retail Amenities And Urban Sprawl," Journal of Regional Science, Wiley Blackwell, vol. 55(2), pages 280-297, March.
    6. Amerighi, Oscar & Peralta, Susana, 2010. "The proximity-concentration trade-off with profit shifting," Journal of Urban Economics, Elsevier, vol. 68(1), pages 90-101, July.
    7. Behrens, Kristian & Murata, Yasusada, 2012. "Trade, competition, and efficiency," Journal of International Economics, Elsevier, vol. 87(1), pages 1-17.
    8. Anas, Alex, 2012. "The optimal pricing, finance and supply of urban transportation in general equilibrium: A theoretical exposition," Economics of Transportation, Elsevier, vol. 1(1), pages 64-76.
    9. José M. Gaspar, 2018. "A prospective review on New Economic Geography," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(2), pages 237-272, September.
    10. Boitier, Vincent & Auvray, Emmanuel, 2021. "Schelling paradox in a system of cities," Mathematical Social Sciences, Elsevier, vol. 113(C), pages 68-88.

    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. Behrens, Kristian & Kanemoto, Yoshitsugu & Murata, Yasusada, 2015. "The Henry George Theorem in a second-best world," Journal of Urban Economics, Elsevier, vol. 85(C), pages 34-51.
    2. Duranton, Gilles & Puga, Diego, 2014. "The Growth of Cities," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 5, pages 781-853, Elsevier.
    3. Albouy, David & Behrens, Kristian & Robert-Nicoud, Frédéric & Seegert, Nathan, 2019. "The optimal distribution of population across cities," Journal of Urban Economics, Elsevier, vol. 110(C), pages 102-113.
    4. José M. Gaspar, 2018. "A prospective review on New Economic Geography," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 61(2), pages 237-272, September.
    5. Behrens, Kristian & Robert-Nicoud, Frédéric, 2015. "Agglomeration Theory with Heterogeneous Agents," 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 171-245, Elsevier.
    6. Duranton, Gilles & Puga, Diego, 2005. "From sectoral to functional urban specialisation," Journal of Urban Economics, Elsevier, vol. 57(2), pages 343-370, March.
    7. Desmet, Klaus & Henderson, J. Vernon, 2015. "The Geography of Development Within Countries," 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 1457-1517, Elsevier.
    8. Stef Proost & Jacques-François Thisse, 2019. "What Can Be Learned from Spatial Economics?," Journal of Economic Literature, American Economic Association, vol. 57(3), pages 575-643, September.
    9. Henry Overman & Patricia Rice & Anthony Venables, 2010. "Economic Linkages across Space," Regional Studies, Taylor & Francis Journals, vol. 44(1), pages 17-33.
    10. Duranton, Gilles & Puga, Diego, 2004. "Micro-foundations of urban agglomeration economies," 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 48, pages 2063-2117, Elsevier.
    11. Kristian Behrens & Gilles Duranton & Frédéric Robert-Nicoud, 2014. "Productive Cities: Sorting, Selection, and Agglomeration," Journal of Political Economy, University of Chicago Press, vol. 122(3), pages 507-553.
    12. Massimo Del Gatto, 2004. "Agglomeration, Integration, and Territorial Authority Scale in a System of Trading Cities. Centralisation versus Devolution," Working Papers 2004.93, Fondazione Eni Enrico Mattei.
    13. Behrens, Kristian & Murata, Yasusada, 2012. "Trade, competition, and efficiency," Journal of International Economics, Elsevier, vol. 87(1), pages 1-17.
    14. Heiland, Inga & Kohler, Wilhelm, 2022. "Heterogeneous workers, trade, and migration," European Economic Review, Elsevier, vol. 144(C).
    15. Behrens, Kristian & Mion, Giordano & Murata, Yasusada & Suedekum, Jens, 2017. "Spatial frictions," Journal of Urban Economics, Elsevier, vol. 97(C), pages 40-70.
    16. 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.
    17. Giordano Mion & Paolo Naticchioni, 2009. "The spatial sorting and matching of skills and firms," Canadian Journal of Economics, Canadian Economics Association, vol. 42(1), pages 28-55, February.
    18. J. Vernon Henderson, 2003. "Urbanization and Economic Development," Annals of Economics and Finance, Society for AEF, vol. 4(2), pages 275-341, November.
    19. Pierre Philippe Combes & Gilles Duranton & Henry G. Overman, 2005. "Agglomeration and the adjustment of the spatial economy§," Papers in Regional Science, Wiley Blackwell, vol. 84(3), pages 311-349, August.
    20. Behrens, Kristian, 2007. "On the location and lock-in of cities: Geography vs transportation technology," Regional Science and Urban Economics, Elsevier, vol. 37(1), pages 22-45, January.

    More about this item

    Keywords

    City size; Henry George Theorem; monopolistic competition; first-best and second-best allocations; variable elasticity;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R13 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - General Equilibrium and Welfare Economic Analysis of Regional Economies

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:lvl:lacicr:0834. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/cirpeca.html .

    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: Manuel Paradis (email available below). General contact details of provider: https://edirc.repec.org/data/cirpeca.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.