Logit Models and Chaotic Behaviour

A New Perspective

Dados Bibliográficos

ID4141950
AutoresPeter Nijkamp (0000-0002-4068-8132, University of Amsterdam), Aura Reggiani (0000-0002-8288-2187, University of Bergamo)
Ano1990
Volume22
Fascículo11
Páginas1455-1467
Data de publicação1990-11-01
Peer ReviewedSim
Open AccessSim
TipoARTICLE
PeriódicoEnvironment and Planning A Economy and Space (JOURNAL)
Identificadores do periódicoISSN: 0308-518X • E-ISSN: 1472-3409
EditoraSAGE Publications Inc (PUBLISHER)
DOI10.1068/a221455
OpenAlexW2055919030
IdiomaEN
Citações recebidas2
Referências citadas34

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