Agglomeration patterns in a long narrow economy of a new economic geography model: Analogy to a racetrack economy

Abstract

The mechanism of self‐organization of agglomerations in a long narrow economy of a new economic geography model is elucidated by a theoretical comparative study with a racetrack economy. Computational bifurcation theory is used to systematically obtain the equilibria of these economies. A chain of spatially repeated core–periphery patterns à la Christaller and Lösch emerges when agglomeration forces are large. Peripheral zones are enlarged recurrently to engender an agglomeration shadow en route to an atomic mono‐center. A megalopolis with two core places connected by an industrial belt emerges when agglomeration forces are small.

Beyond urban form: How Masahisa Fujita shapes us

“…On the other hand, dispersion due to urban costs is associated with the spatial expansion of individual agglomeration, that is, it takes place at a local scale (e.g., Ikeda et al . ()). As an extreme case, Akamatsu et al .…”

“…Ikeda et al . (2016)Ikeda, Murota, Akamatsu, and Takayama () show that this result essentially persists in a long‐narrow economy à la Fujita and Krugman ().…”

Existence and Uniqueness of Solutions to the Wage Equation of Dixit-Stiglitz-Krugman Model with No Restriction on Transport Costs

“…Note that if (27) does not hold, then we cannot define the right-hand side of (40). Applying (9) to (15) with ( ) = ( ), we can divide 1/ ( ; ) −1 as follows:…”

“…61-77]. There have been important related studies, and several analytically solvable models have been developed, in order to analyze economic agglomeration and bifurcation (see, e.g., [6][7][8][9][10][11]). …”

Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model

“…Moreover, several analytically solvable models have been developed in order to analyze economic agglomeration and bifurcation (see, e.g., [6,7], [3, pp. 85-88], [5,[8][9][10]). …”