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Unequal cities: Self-selection, matching, and the distribution of income

Author

Listed:
  • Dmitry Pokrovsky
  • Kristian Behrens

Abstract

We develop a model of a city populated by heterogeneous agents. Agents self-select into entrepreneurship, and entrepreneurs set up firms which hire workers. We characterize the equilibrium matching between firms and workers, as well as the within-city assignment of agents to locations. We then explore the implications of city size and the characteristics of the underlying skill distribution for selection into entrepreneurship, rent gradients, and city-wide inequality in disposable incomes. Agents self-select into occupations based on their earnings, we assume that highly productive agents have a comparative advantage in entrepreneurship, so that there exists some endogenously determined unique cutoff that separates workers from entrepreneurs. Workers are hired by entrepreneurs and are paid a match-specific wage, whereas entrepreneurs are the residual claimants to their firms' profits. All agents live in a linear city that stretches out on the finite interval. Both workers and entrepreneurs commute to the central business district (CBD) for work. Commuting entails costs, which we model parimoniously using an `iceberg' specification. In our model, agents differ by income. A commuting costs are paid as a fraction of income, it follows that richer agents will want to locate closer to the CBD to minimize their costs. We thus have to find the spatial distribution of agents in the city- the mapping of agent's talent to city locations, such that every agent picks his preferred location. We look at the case with a fixed lot size assumption: maximizing utility is equivalent to maximizing disposable income - income net of land rent and commuting costs. First, we will derive the comparative statics of the equilibrium variables with respect to exogenous parameters of the model like total population, commuting costs, and various moments of the talent distribution of the population. We expect that reducing commuting costs will lead to an increase in the density in a city, and that it will increase the share of entrepreneurs in the city. A larger share of entrepreneurs leads to tougher selection, which should magnify income inequality in the city. We have no a'priori intuition for the direction of change in "real" income inequality. Furthermore, a distribution of talent that is more skewed towards highly talented workers should increase the steepness of the rent gradient towards the city center. The reason is that more productive agents live closer to the center and compete for land there, and that a larger mass of highly talented agents will increase competition for land towards the center. Depending on how fast land prices go up for the rich compared to land prices for the poor, "real" income inequality may a'priori rise or fall as the distribution of talent gets more unequal within the city.

Suggested Citation

  • Dmitry Pokrovsky & Kristian Behrens, 2014. "Unequal cities: Self-selection, matching, and the distribution of income," ERSA conference papers ersa14p997, European Regional Science Association.
  • Handle: RePEc:wiw:wiwrsa:ersa14p997
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    References listed on IDEAS

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    1. Pierre-Philippe Combes & Gilles Duranton & Laurent Gobillon, 2019. "The Costs of Agglomeration: House and Land Prices in French Cities," Review of Economic Studies, Oxford University Press, vol. 86(4), pages 1556-1589.
    2. Paul Krugman & Anthony J. Venables, 1995. "Globalization and the Inequality of Nations," The Quarterly Journal of Economics, Oxford University Press, vol. 110(4), pages 857-880.
    3. Combes, Pierre-Philippe & Duranton, Gilles & Gobillon, Laurent, 2012. "The Costs of Agglomeration: Land Prices in French Cities," IZA Discussion Papers 7027, Institute of Labor Economics (IZA).
    4. Marc J. Melitz & Giancarlo I. P. Ottaviano, 2021. "Market Size, Trade, and Productivity," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 4, pages 87-108, World Scientific Publishing Co. Pte. Ltd..
    5. Gilles Duranton & Henry G. Overman, 2005. "Testing for Localization Using Micro-Geographic Data," Review of Economic Studies, Oxford University Press, vol. 72(4), pages 1077-1106.
    6. Behrens, Kristian & Mion, Giordano & Murata, Yasusada & Suedekum, Jens, 2017. "Spatial frictions," Journal of Urban Economics, Elsevier, vol. 97(C), pages 40-70.
    7. Andrew B Bernard & J. Bradford Jensen, 2007. "Firm Structure, Multinationals, and Manufacturing Plant Deaths," The Review of Economics and Statistics, MIT Press, vol. 89(2), pages 193-204, May.
    8. Combes, Pierre-Philippe & Duranton, Gilles & Gobillon, Laurent & Roux, Sébastien, 2012. "Sorting and local wage and skill distributions in France," Regional Science and Urban Economics, Elsevier, vol. 42(6), pages 913-930.
    9. Masahisa Fujita & Jacques-François Thisse, 2006. "Globalization And The Evolution Of The Supply Chain: Who Gains And Who Loses?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 811-836, August.
    10. Koenig, Pamina & Mayneris, Florian & Poncet, Sandra, 2010. "Local export spillovers in France," European Economic Review, Elsevier, vol. 54(4), pages 622-641, May.
    11. Thomas J. Holmes, 1999. "Localization Of Industry And Vertical Disintegration," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 314-325, May.
    12. Koenig, Pamina, 2009. "Agglomeration and the export decisions of French firms," Journal of Urban Economics, Elsevier, vol. 66(3), pages 186-195, November.
    13. Marc J. Melitz, 2003. "The Impact of Trade on Intra-Industry Reallocations and Aggregate Industry Productivity," Econometrica, Econometric Society, vol. 71(6), pages 1695-1725, November.
    14. Marc J. Melitz & Gianmarco I. P. Ottaviano, 2008. "Market Size, Trade, and Productivity (DOI:10.111/j.1467-937x.2007.00463.x)," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 985-985.
    15. repec:hhs:iuiwop:430 is not listed on IDEAS
    16. Glenn Ellison & Edward L. Glaeser & William R. Kerr, 2010. "What Causes Industry Agglomeration? Evidence from Coagglomeration Patterns," American Economic Review, American Economic Association, vol. 100(3), pages 1195-1213, June.
    17. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
    18. Beckmann, Martin J., 1969. "On the distribution of urban rent and residential density," Journal of Economic Theory, Elsevier, vol. 1(1), pages 60-67, June.
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    More about this item

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L26 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Entrepreneurship
    • R14 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Land Use Patterns

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