Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
957610 | Journal of Economic Theory | 2006 | 33 Pages |
Abstract
We study the indeterminacy of equilibrium in the Fujita-Krugman [When is the economy monocentric?: von Thünen and Chamberlin unified, Reg. Sci. Urban Econ. 25 (1995) 505-528] model of city formation under monopolistic competition and increasing returns. Both the number and the locations of cities are endogenously determined. Assuming smooth transportation costs, we examine equilibria in city-economies where a finite number of cities form endogenously. For any positive integer K, the set of equilibria with K distinct cities has a smooth manifold of dimension K-1 as its interior for almost all parameter values in a regular parameterization. The disjoint union of these sets over all positive integers K constitutes the entire equilibrium set.
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Authors
Marcus Berliant, Fan-chin Kung,