The indeterminacy of equilibrium city formation under monopolistic competition and increasing returns

• 成果类型: Article
• 署名作者: Berliant, Marcus; Kung, Fan-chin
• 署名单位: Washington University (WUSTL); Academia Sinica - Taiwan; City University of Hong Kong
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2005.05.009
• 发表日期: 2006
• 页码: 101-133
• 关键词: city formation; differentiable manifold; increasing returns; indeterminacy of city systems

摘要

We study the indeterminacy of equilibrium in the Fujita-Krugman [When is the economy monocentric?: von Thunen 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. (c) 2005 Elsevier Inc. All rights reserved.