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Logit Models and Chaotic Behaviour

A New Perspective

Bibliographic Data

ID4141950
AuthorsPeter Nijkamp (0000-0002-4068-8132, University of Amsterdam), Aura Reggiani (0000-0002-8288-2187, University of Bergamo)
Year1990
Volume22
Issue11
Pages1455-1467
Publication date1990-11-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueEnvironment and Planning A Economy and Space (JOURNAL)
Journal identifiersISSN: 0308-518X • E-ISSN: 1472-3409
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1068/a221455
OpenAlexW2055919030
LanguageEN
Citations received2
References cited34

Chaos theory and discrete choice theory have been developed as two separate analytical tools from various disciplinary backgrounds. In this paper the aim is to link chaos theory (emerging mainly from physics) to discrete choice theory (emerging mainly from geography and economics) by showing the formal conditions under which a dynamic logit model can exhibit chaotic behaviour. It will be shown that under certain conditions a generalized predator-prey model arises from a dynamic logit model. Furthermore, the analysis will be extended by developing a time-delayed logit model related to a modal (or route) choice problem in which congestion effects are incorporated in a dynamic framework. The analysis will be illustrated by means of simulation experiments, in which it is shown that different types of behaviour (including chaotic movements) can emerge depending on critical values of the utility function

Chaotic · Econometrics · Logistic regression · Logit · Mathematical economics · Physics · Statistical physics · Statistics · Chaos control and synchronization · Complex Systems and Time Series Analysis · Computer Science · Mathematical Dynamics and Fractals · Mathematics · Artificial Intelligence

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Unique citing works2
Citations per year0,06
Citation span1992 - 2001 (10)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 2
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