Perturbed cusp catastrophe in a population game

Spatial economics with locational asymmetries

Bibliographic Data

ID21352964
AuthorsKiyohiro Ikeda (0000-0002-0291-4346, Department of Civil and Environmental Engineering Tohoku University Sendai Japan, corresponding author), Yuki Takayama (0000-0002-3926-1094, Faculty of Geosciences and Civil Engineering, Institute of Science and Engineering Kanazawa University Kanazawa Japan), José M Gaspar (0000-0002-5443-3683, CEGE and Católica Porto Business School, Universidade Católica Portuguesa Lisbon Portugal), Minoru Osawa (0000-0001-9067-5375, Institute of Economic Research Kyoto University Kyoto Japan)
Year2022
Volume62
Issue4
Pages961-980
Publication date2022-09-01
Open AccessYes
TypeARTICLE
VenueJournal of Regional Science (JOURNAL)
Journal identifiersISSN: 0022-4146 • E-ISSN: 1467-9787
PublisherWiley (PUBLISHER • GB)
DOI10.1111/jors.12582
OpenAlexW4206922989
LanguageEN
Citations received2
References cited33

This paper studies the cusp catastrophe in a two‐strategy population game with exogenous locational asymmetries and its application to spatial economics. We derive approximating games of two kinds: a cusp catastrophe form and a more general form. As a novel contribution of this paper, the effects of an arbitrary number of regional asymmetries are expressed using only three asymmetry parameters, thereby allowing for an analytical analysis. We find a new behavior with hysteresis using the general form. The usefulness of the forms is demonstrated for two economic geography models. A numerical recipe is presented to construct the cusp catastrophe form

Asymmetry · Catastrophe theory · Cusp (singularity) · Econometrics · Economics · Game theory · Geometry · Hysteresis · Mathematical economics · Physics · Population · Sociology · Statistical physics · Demography · Economic and Environmental Valuation · Economic theories and models · Geology · Mathematics · Regional Economics and Spatial Analysis

Tools

Open DOI