Bifurcation Theory for Hexagonal Agglomeration in Economic Geography

• Main Authors: Ikeda, Kiyohiro (Author), Murota, Kazuo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Tokyo : Springer Japan : Imprint: Springer, 2014.
• Subjects: Engineering.; Mathematical models.; Mathematics.; Social sciences.; Sociophysics.; Econophysics.; Engineering economics.; Engineering economy.; Population.; Engineering Economics, Organization, Logistics, Marketing.; Socio- and Econophysics, Population and Evolutionary Models.; Mathematical Modeling and Industrial Mathematics.; Mathematics in the Humanities and Social Sciences.; Population Economics.

This book contributes to an understanding of how bifurcation theory adapts to the analysis of economic geography. It is easily accessible not only to mathematicians and economists, but also to upper-level undergraduate and graduate students who are interested in nonlinear mathematics. The self-organ...

Table of Contents:

• Hexagonal Distributions in Economic Geography and Krugman’s Core–Periphery Model
• Group-Theoretic Bifurcation Theory
• Agglomeration in Racetrack Economy
• Introduction to Economic Agglomeration on a Hexagonal Lattice
• Hexagonal Distributions on Hexagonal Lattice
• Irreducible Representations of the Group for Hexagonal Lattice
• Matrix Representation for Economy on Hexagonal Lattice
• Hexagons of Christaller and L¨osch: Using Equivariant Branching Lemma
• Hexagons of Christaller and L¨osch: Solving Bifurcation Equations.