Abstract
Agglomerations of population were analyzed by NEG models in new economic geography (NEG) mostly in two-place and racetrack economies. In the racetrack economy, agglomerations proceed via so-called spatial period doubling bifurcation cascade. Since this cascade exists for 2k cities, studies of agglomeration up to now have been conducted for such cities. This paper aims at the elucidation of the bifurcation and agglomeration properties of the racetrack economy with an arbitrary number of cities. A bifurcation theory of NEG models is proposed and numerical analysis of the Forslid & Ottaviano and Pflüger models is conducted. Dependence of the bifurcation and agglomeration on the models and on the number of cities is made clear.
