Self-Organization of LöSCH's Hexagons in Economic agglomeration for Core-periphery Models

Hexagonal population distributions of several sizes are shown to be selforganized 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. Lösch’s ten smallest hexagonal distributions in central place theory are guaranteed to be existent by equivariant bifurcation analysis on D6 +̇ (Zn × Zn), 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.