Berliant, Marcus and Zenou, Yves (2012): Labor differentiation and agglomeration in general equilibrium.
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The aim of this paper is to explore the structure of cities as a function of labor differentiation, gains to trade, a fixed cost for constructing the transportation network, a variable cost of commodity transport, and the commuting costs of consumers. Firms use different types of labor to produce different outputs. Locations of all agents are endogenous as are prices and quantities. This is among the first papers to apply smooth economy techniques to urban economics. Existence of equilibrium and its determinacy properties depend crucially on the relative numbers of outputs, types of labor and firms. More differentiated labor implies more equilibria. We provide tight lower bounds on labor differentiation for existence of equilibrium. If these sufficient conditions are satisfied, then generically there is a continuum of equilibria for given parameter values. Finally, an equilibrium allocation is not necessarily Pareto optimal in this model.
|Item Type:||MPRA Paper|
|Original Title:||Labor differentiation and agglomeration in general equilibrium|
|Keywords:||city structure; heterogeneous labor; transportation network; general equilibrium|
|Subjects:||D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D51 - Exchange and Production Economies
R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R14 - Land Use Patterns
|Depositing User:||Marcus Berliant|
|Date Deposited:||26. Jan 2012 23:15|
|Last Modified:||06. Jul 2015 10:53|
Abdel-Rahman, H. (1988), "Product Differentiation, Monopolistic Competition and City Size", Regional Science and Urban Economics, 18, 69-86.
Abdel-Rahman, H. (1990), "Agglomeration Externalities, Types, and Sizes of Cities", Journal of Urban Economics, 27, 25-45.
Abdel-Rahman, H. and M. Fujita (1990), "Product Variety, Marshallian Externalities, and City Sizes", Journal of Regional Science, 30, 165-183.
Anderson, S. and M. Engers (1994), "Spatial Competition with Price-Taking Firms", Economica, 61, 125-136.
Baumgardner, J. (1988), "The Division of Labor, Local Markets, and Worker Organization", Journal of Political Economy, 96, 509-527.
Benabou, R. (1993), "Workings of a City: Location, Education, and Production", Quarterly Journal of Economics, 108, 619-652.
Beckmann, M. (1977), "Spatial Equilibrium: A New Approach to Urban Density", in Resource Allocation and Division of Space, Fujii and Sato (eds.), 121-130, Berlin: Springer-Verlag.
Berliant, M. and H. Konishi (2000), "The Endogenous Formation of a City: Population Agglomeration and Marketplaces in a Location-Specific Production Economy", Regional Science and Urban Economics, 30, 289-324.
Berliant, M. and F.-C. Kung (2006), "The Indeterminacy of Equilibrium City Formation Under Monopolistic Competition and Increasing Returns", Journal of Economic Theory, 131, 101-133.
Berliant, M. and F.-C. Kung (2009), "Bifurcations in Regional Migration Dynamics", Regional Science and Urban Economics, 39, 714-720.
Berliant, M. and T. ten Raa (1994), "Regional Science: The State of the Art", Regional Science and Urban Economics, 24, 631-647.
Berliant, M. and P. Wang (1993), "Endogenous Formation of a City without Agglomerative Externalities or Market Imperfections: Marketplaces in a Regional Economy", Regional Science and Urban Economics, 23, 121-144.
Ellickson, B. (1979), "Competitive Equilibrium with Local Public Goods", Journal of Economic Theory, 21, 46-61.
Fujita, M. (1986), "Urban Land Use Theory", in Location Theory, Lesourne and Sonnenschein (eds.), New York: Harwood Academic Publishers.
Fujita, M. (1988), "A Monopolistic Competition Model of Spatial Agglomeration: Differentiated Product Approach", Regional Science and Urban Economics, 18, 87-124.
Fujita, M. (1989), Urban Economic Theory. Land Use and City Size, Cambridge: Cambridge University Press.
Fujita, M. and P. Krugman (1995), "When is the Economy Monocentric? von Thünen and Chamberlain Unified", Regional Science and Urban Economics, 25, 505-528.
Fujita, M., Krugman, P. and A.J. Venables (1999), The Spatial Economy. Cities, Regions, and International Trade, Cambridge: The M.I.T. Press.
Fujita, M. and P. Krugman (2000), "A Monopolistic Competition Model of Urban Systems and Trade", in Economics of Cities. Theoretical Perspectives, J-F. Thisse and J.-M. Huriot (eds.), 167-216, Cambridge: Cambridge University Press.
Fujita, M. and H. Ogawa (1982), "Multiple Equilibria and Structural Transition of Non-Monocentric Urban Configurations", Regional Science and Urban Economics, 12, 161-196.
Fujita, M. and J-F. Thisse (1986), "Spatial Competition with a Land Market: Hotelling and von Thünen Unified", Review of Economic Studies, 53, 819-841.
Fujita, M. and J-F. Thisse (2002), Economics of Agglomeration. Cities, Industrial Location, and Regional Growth, Cambridge: Cambridge University Press.
Gabszewicz, J.J. and J-F. Thisse (1986), "Spatial Competition and the Location of Firms", in Location Theory, Gabszewicz, J.J., Thisse, J-F., Fujita, M. and U. Schweizer (eds.), Chur: Harwood Academic Publishers, 1-71.
Gabszewicz, J.J. and J-F. Thisse (1992), "Location", in Handbook of Game Theory with Economic Applications, Vol. 1, Aumann, R.E. and S. Hart (eds.), Amsterdam: North Holland, 281-304.
Grimaud, A. and J-J. Laffont, 1989, "Existence of Spatial Equilibrium", Journal of Urban Economics, 25, 213-218.
Hildenbrand, W. (1974), Core and Equilibria of a Large Economy, Princeton: Princeton University Press.
Kim, S. (1989), "Labor Specialization and the Extent of the Market", Journal of Political Economy, 97, 692-705.
Kim, S. (1991), "Heterogeneity of Labor Markets and City Size in an Open Spatial Economy", Regional Science and Urban Economics, 21, 109-126.
Kim, S. (1995), "Expansion of Markets and the Geographic Distribution of Economic Activities: The Trends in the U.S. Regional Manufacturing Structure, 1860-1987", Quarterly Journal of Economics, 110, 881-908.
Koopmans, T. and M. Beckmann (1957), "Assignment Problems and the Location of Economic Activities", Econometrica, 25, 53-76.
Krugman, P. (1991), "Increasing Returns and Economic Geography", Journal of Political Economy, 99, 483-499.
Krugman, P. (1993a), "On the Number and Location of Cities", European Economic Review, 37, 293-298.
Krugman, P. (1993b), "First Nature, Second Nature, and Metropolitan Location", Journal of Regional Science, 33, 129-144.
Mas-Colell, A. (1985), The Theory of General Economic Equilibrium. A Differentiable Approach, Cambridge: Cambridge University Press.
Negishi, T. (1960), "Welfare Economics and Existence of an Equilibrium for a Competitive Economy", Metroeconomica, 12, 92-97.
Papageorgiou, Y. and T. Smith (1983), "Agglomeration as Local Instability of Spatially Uniform Steady-States", Econometrica, 51, 1109-1120.
Pereira, P. and M. Mata (eds.) (1996), Urban Dominance and Labour Market Differentiation of a European Capital City: Lisbon 1890-1990, Boston: Kluwer Academic Press.
Raa, T. ten (1984), "The Distribution Approach to Spatial Economics", Journal of Regional Science, 24, 105-117.
Rosen, S. (1983), "Specialization of Human Capital", Journal of Labor Economics, 1, 43-49.
Schweizer, U., Varaiya, P. and J. Hartwick (1976), "General Equilibrium and Location Theory", Journal of Urban Economics, 3, 285-303.
Starrett, D. (1978), "Market Allocation of Location Choice in a Model with Free Mobility", Journal of Economic Theory, 17, 21-37.
Wang, P. (1990), "Competitive Equilibrium Formation of Marketplaces with Heterogenous Consumers", Regional Science and Urban Economics, 20, 295-304.
Zenou, Y. (2009), Urban Labor Economics, Cambridge: Cambridge University Press.