Open Access. Powered by Scholars. Published by Universities.®
- Discipline
Articles 1 - 3 of 3
Full-Text Articles in Urban Studies and Planning
Central Place Theory And The Power Law For Cities, Wen-Tai Hsu, Zou Xin
Central Place Theory And The Power Law For Cities, Wen-Tai Hsu, Zou Xin
Research Collection School Of Economics
This chapter provides a review of the link between central place theory and the power laws for cities. A theory of city size distribution is proposed via a central place hierarchy a la Christaller (1933) either as an equilibrium results or an optimal allocation. Under a central place hierarchy, it is shown that a power law for cities emerges if the underlying heterogeneity in economies of scale across good is regularly varying. Furthermore, we show that an optimal allocation of cities conforms with a central place hierarchy if the underlying heterogeneity in economies of scale across good is a power …
Optimal City Hierarchy: A Dynamic Programming Approach To Central Place Theory, Wen-Tai Hsu, Thomas J. Holmes, Frank Morgan
Optimal City Hierarchy: A Dynamic Programming Approach To Central Place Theory, Wen-Tai Hsu, Thomas J. Holmes, Frank Morgan
Research Collection School Of Economics
Central place theory is a key building block of economic geography and an empirically plausible description of city systems. This paper provides a rationale for central place theory via a dynamic programming formulation of the social planner's problem of city hierarchy. We show that there must be one and only one immediate smaller city between two neighboring larger-sized cities in any optimal solution. If the fixed cost of setting up a city is a power function, then the immediate smaller city will be located in the middle, confirming the locational pattern suggested by Christaller. We also show that the solution …
Optimal City Hierarchy: A Dynamic Programming Approach To Central Place Theory, Wen-Tai Hsu, Thomas J. Holmes, Frank Morgan
Optimal City Hierarchy: A Dynamic Programming Approach To Central Place Theory, Wen-Tai Hsu, Thomas J. Holmes, Frank Morgan
Research Collection School Of Economics
Central place theory is a key building block of economic geography and an empirically plausible description of city systems. This paper provides a rationale for central place theory via a dynamic programming formulation of the social planner's problem of city hierarchy. We show that there must be one and only one immediate smaller city between two neighboring larger-sized cities in any optimal solution. If the fixed cost of setting up a city is a power function, then the immediate smaller city will be located in the middle, confirming the locational pattern suggested by Christaller [4] . We also show that …