Agglomeration dynamics and first nature asymmetries

作者：Agliari Anna; Commendatore Pasquale; Foroni Ilaria^*; Kubin Ingrid

来源：Mathematics and Computers in Simulation, 2015, 108: 81-98.

DOI：10.1016/j.matcom.2014.05.001

• New economy geography
• Asymmetric first nature firms
• Piecewise map
• Border collision bifurcation

The standard footloose capital (FC) model, as well as the discrete time version, assumes that all capital units are internationally mobile between two regions. In this paper, we assume that in one of the two regions some of the blueprints/capital units may be immobile because their utilization requires some locally specific natural resource (first nature advantage). Mobile blueprints, instead, can be utilized in both regions. We focus on this asymmetric distribution of immobile firms/capital units, labeled first nature firms. The central question of our paper is how the existence of first nature asymmetry affects agglomerative processes framed in discrete time. This modification of the FC model leads to a one dimensional piecewise smooth map for which we show analytically that border collision bifurcations are pervasive and (even asymmetric) multistability is possible.

• 出版日期2015-2