Bifurcation Theory for Hexagonal Agglomeration in Economic Geography

Part I. Economic Agglomeration and Bifurcation: Introduction

1. Hexagonal Distributions in Economic Geography and Krugman’s Core–Periphery Model
Kiyohiro Ikeda, Kazuo Murota

2. Group-Theoretic Bifurcation Theory
Kiyohiro Ikeda, Kazuo Murota

3. Agglomeration in Racetrack Economy
Kiyohiro Ikeda, Kazuo Murota

Part II. Theory of Economic Agglomeration on Hexagonal Lattice

4. Introduction to Economic Agglomeration on Hexagonal Lattice
Kiyohiro Ikeda, Kazuo Murota

5. Hexagonal Distributions on Hexagonal Lattice
Kiyohiro Ikeda, Kazuo Murota

6. Irreducible Representations of the Group for Hexagonal Lattice
Kiyohiro Ikeda, Kazuo Murota

7. Matrix Representation for Economy on Hexagonal Lattice
Kiyohiro Ikeda, Kazuo Murota

8. Hexagons of Christaller and Lösch: Using Equivariant Branching Lemma
Kiyohiro Ikeda, Kazuo Murota

9. Hexagons of Christaller and Lösch: Solving Bifurcation Equations
Kiyohiro Ikeda, Kazuo Murota

Keywords: Engineering, 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