Abstract
Models of city systems based on market theories are unable to replicate their size distribution. The stochastic process approach to size distribution, which asserts proportional growth, does not provide a strong economic foundation. Hence an apparent irreconcilability. We propose that since there is a continuum of equilibrium set in market models of cities, as pointed out by Berliant and Kung (2006), proportional growth can work as an equilibrium selection. We compute an urban configuration that has not been presented in the literature before. A small city locates inside a larger city's agricultural supply zone. This gives a larger variation in city size that may contain Zipf's distribution.
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