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Quarterly Journal of Economics Vol. 114 No. 3 1999

Zipf's Law for Cities: An Explanation

X. Gabaix

Massachusetts Institute of Technology

Abstract

Zipf's law is a very tight constraint on the class of admissible models of local growth. It says that for most countries the size distribution of cities strikingly fits a power law: the number of cities with populations greater than S is proportional to 1/ S . Suppose that, at least in the upper tail, all cities follow some proportional growth process (this appears to be verified emperically). This automatically leads their distribution to converge to Zipf's law.

DOI
10.1162/003355399556133
Volume
114
Issue
3
Pages
739-767
Language
en
Sources
bibtex:phds-export.bib crossref openalex

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