Growth and residential distribution with economic structure and amenity: A synthesis of Solow-Uzawa's growth, Alonsols urban, and Muth's housing models

This study develops an economic growth model with residential distribution. The model synthesises the main ideas in the Solow-Uzawa growth model, the Alonso urban model, and the Muth housing model with perfect competition in all the markets, by proposing an alternative approach to household behaviour. We show that economic growth with the economic geography is governed by a single differential equation and analyse dynamic behaviour of the model. For explanation, we simulate the model over time and space.