The Cusp Catastrophe in the Urban Retail Model-Reference-Cited by-同舟云学术

The Cusp Catastrophe in the Urban Retail Model

Published:1984-07 Issue:7 Volume:16 Page:851-862
ISSN:0308-518X
Container-title:Environment and Planning A: Economy and Space
language:en
Short-container-title:Environ Plan A

Author:

Kaashoek J F¹,Vorst A C F¹

Affiliation:

1. Econometric Institute, Erasmus University, PO Box 1738, 3000 DR Rotterdam, The Netherlands

Abstract

In this paper we will show that for a suitable choice of the parameters in an urban retail model as developed by Huff and by Lakshmanen and Hansen one finds a cusp catastrophe in the surface of equilibrium points. We give some economic consequences of the fact that we have a cusp catastrophe. Furthermore, we show that for other choices of the parameters the equilibrium points of the model depend smoothly on the parameters.

Publisher

SAGE Publications

Subject

Environmental Science (miscellaneous),Geography, Planning and Development

Link

http://journals.sagepub.com/doi/pdf/10.1068/a160851

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