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A theory of heterogeneous city growth

Ghiglino, Christian and Nishimura, Kazuo and Venditti, Alain (2020) 'A theory of heterogeneous city growth.' International Journal of Economic Theory, 16 (1). pp. 27-37. ISSN 1742-7355

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Abstract

We consider an economy with three cities producing different outputs. Two cities produce intermediate goods, a type 1 city producing an intermediate “agricultural” good with capital and labor only, and a type 2 city producing an intermediate “industrial” good with capital, labor, and human capital. A type 3 city produces the final good which is obtained from the two intermediate goods and labor. The asymmetric introduction of human capital allows us to prove that the three cities experience, at equilibrium, heterogeneous endogenous growth rates which are proportional to the growth rate of human capital. We show that the “industrial” type 2 city is characterized by the larger growth rate while the “agricultural” type 1 city experiences the lower growth rate, and thus the type 3 city is characterized by a growth rate which is a convex combination of the two former growth rates. This implies that the relative size in terms of output of the “agricultural” city decreases over time. This property allows us to recover the empirical fact that most non‐agricultural production occurs in growing metropolitan areas. But, simultaneously, as we prove that total labor employed in each city is proportional to the total population, the relative population size distribution of cities is constant over time, as shown in empirical studies.

Item Type: Article
Uncontrolled Keywords: city inequalities; endogenous growth; heterogeneous growth rates; human capital; urban dynamics
Divisions: Faculty of Social Sciences
Faculty of Social Sciences > Economics, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 11 May 2020 12:12
Last Modified: 22 Jan 2022 02:00
URI: http://repository.essex.ac.uk/id/eprint/27506

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