Nien, Benjamin ChihChien (2006): Study on Applications of Supply and Demand Theory of Microeconomics and Physics Field Theory to Central Place Theory.

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Abstract
This paper attempts to analyze “central place theory” of spatial economics based on “supply and demand theory” in microeconomics and “field theory” in physics, and also discuss their relationship. Three most important research findings are described below. Firstly, the concept of market equilibrium could be expressed in the mathematical form of physics field theory under proper hypothesis. That is because the most important aspect of field theory model is that complex analysis is taken as a key mathematical tool. If assuming that “imaginary part” is neglected in this model, it is found that this model has the same mathematical structure as supply and demand theory of microeconomics. Secondly, the mathematical model of field theory can be applied to express clearly many concepts of central place theory, or even introduce many new concepts. Thirdly, it could also be taken as a study of combining the Hotelling Model and Moses Model for the location theory in another mathematic approach.
Item Type:  MPRA Paper 

Original Title:  Study on Applications of Supply and Demand Theory of Microeconomics and Physics Field Theory to Central Place Theory 
Language:  English 
Keywords:  Mathematical Economics; Economic Geography; Microeconomics 
Subjects:  D  Microeconomics > D1  Household Behavior and Family Economics > D11  Consumer Economics: Theory D  Microeconomics > D2  Production and Organizations > D21  Firm Behavior: Theory C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods R  Urban, Rural, Regional, Real Estate, and Transportation Economics > R1  General Regional Economics > R10  General 
Item ID:  390 
Depositing User:  Benjamin ChihChien Nien 
Date Deposited:  11. Oct 2006 
Last Modified:  11. Feb 2013 21:43 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/390 