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Logit Models and Chaotic Behaviour: A New Perspective

Author

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  • P Nijkamp

    (Department of Economics, Free University, PO Box 7161, 1007 MC Amsterdam, The Netherlands)

  • A Reggiani

    (Department of Mathematics, University of Bergamo, Via Salvecchio 19, 24100 Bergamo, Italy)

Abstract

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.

Suggested Citation

  • P Nijkamp & A Reggiani, 1990. "Logit Models and Chaotic Behaviour: A New Perspective," Environment and Planning A, , vol. 22(11), pages 1455-1467, November.
    • Handle: RePEc:sae:envira:v:22:y:1990:i:11:p:1455-1467
    DOI: 10.1068/a221455
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    References listed on IDEAS

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    1. Kelsey, David, 1988. "The Economics of Chaos or the Chaos of Economics," Oxford Economic Papers, Oxford University Press, vol. 40(1), pages 1-31, March.
    2. Lung, Yannick, 1988. "Complexity and Spatial Dynamics Modelling. From Catastrophe Theory to Self-organizing Process: A Review of the Literature," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 22(2), pages 81-111, July.
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    Cited by:

    1. Nijkamp, P. & Reggiani, A., 1991. "Space-time dynamics, spatial competition and the theory of chaos," Serie Research Memoranda 0094, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. Nijkamp, P. & Reggiani, A., 1990. "Impacts of multiple period lags in dynamic logit models," Serie Research Memoranda 0083, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    3. Nijkamp, P. & Reggiani, A., 1992. "Static and dynamic spatial interaction models : an integrating perspective," Serie Research Memoranda 0052, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    4. Nijkamp, P. & Poot, J., 1991. "Lessons from non-linear dynamic economics," Serie Research Memoranda 0105, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.

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