Self-organization of l?sch's hexagons in economic agglomeration for core-periphery models (Review)

摘要

Hexagonal population distributions of several sizes are shown to be self-organized from a uniformly inhabited state, which is modeled by a system of places (cities) on a hexagonal lattice. Microeconomic interactions among the places are expressed by a core-periphery model in new economic geography. L?sch's ten smallest hexagonal distributions in central place theory are guaranteed to be existent by equivariant bifurcation analysis on D _6 (_n × _n), and are obtained by computational analysis. The missing link between central place theory and new economic geography has thus been discovered in light of the bifurcation analysis.