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HARRIS AND WILSON (1978) MODEL REVISITED: THE SPATIAL PERIOD‐DOUBLING CASCADE IN AN URBAN RETAIL MODEL
Author(s) -
Osawa Minoru,
Akamatsu Takashi,
Takayama Yuki
Publication year - 2017
Publication title -
journal of regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.171
H-Index - 79
eISSN - 1467-9787
pISSN - 0022-4146
DOI - 10.1111/jors.12306
Subject(s) - cascade , bifurcation , period doubling bifurcation , period (music) , perspective (graphical) , economies of agglomeration , property (philosophy) , space (punctuation) , economics , economic geography , economy , mathematics , computer science , microeconomics , nonlinear system , engineering , geometry , physics , chemical engineering , philosophy , epistemology , quantum mechanics , acoustics , operating system
Harris and Wilson (1978)'s retail location model is a pioneering work that utilizes the combination of the “fast” and “slow” dynamics to describe the space economy. This paper elucidates the model's previously unknown comparative static (bifurcation) properties in a many‐location setting beyond two. We show that the spatial structure's evolutionary path in line with decreasing transport costs exhibits a remarkable property, namely, a “spatial period‐doubling cascade.” Furthermore, we reveal strong linkages between the model and “new economic geography” models in terms of their model structures and bifurcation properties, offering a new theoretical perspective for understanding agglomeration behaviors in multilocation settings.