Perturbed cusp catastrophe in a population game: Spatial economics with locational asymmetries

• Type: Article in International Scientific Journal
• Date: 2022

Authors

Ikeda, K (Author) Other; Takayama, Y (Author) Other; Gaspar, JM (Author) FEP; Osawa, M (Author) Other

Journal

Title: Journal of Regional Science

Vol. 62

Pages: 961-980

ISSN: 0022-4146

Publisher: Wiley-Blackwell

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00W-72Y

DOI: 10.1111/jors.12582

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20