IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v22y1990i11p1455-1467.html
   My bibliography  Save this article

Logit Models and Chaotic Behaviour: A New Perspective

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a221455
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a221455?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nijkamp, P. & Reggiani, A., 1989. "Logit models and chaotic behaviour," Serie Research Memoranda 0054, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    2. 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.
    3. Karima Kourtit & Daniel Arribas-Bel & Peter Nijkamp, 2013. "High Performance in Complex Spatial Systems: A Self-Organizing Mapping Approach with Reference to The Netherlands," Tinbergen Institute Discussion Papers 13-194/VIII, Tinbergen Institute.
    4. 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.
    5. Whitby, Simon & Parker, David & Tobias, Andrew, 2001. "Non-linear dynamics and duopolistic competition: a R&D model and simulation," Journal of Business Research, Elsevier, vol. 51(3), pages 179-191, March.
    6. Karima Kourtit & Daniel Arribas-Bel & Peter Nijkamp, 2012. "High performers in complex spatial systems: a self-organizing mapping approach with reference to The Netherlands," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 48(2), pages 501-527, April.
    7. Montoro, Juan D. & Paz, Jose V. & Roig, Miguel, 1998. "Active Monetary Policy and Instability in a Phillips Curve System," Journal of Macroeconomics, Elsevier, vol. 20(4), pages 843-856, October.
    8. Dufrenot Gilles & Mathieu Laurent, 1994. "Methods In Economics: Testing For Linearity," Journal des Economistes et des Etudes Humaines, De Gruyter, vol. 5(2-3), pages 1-16, June.
    9. Barkley, Rosser Jr., 1996. "Complex economic dynamics: An introduction to dynamical systems and Market Mechanisms : Richard H. Day, Vol. I (MIT Press, Cambridge MA, 1994), pp. 333, $39.95," Journal of Economic Behavior & Organization, Elsevier, vol. 31(2), pages 293-296, November.
    10. Sandubete, Julio E. & Escot, Lorenzo, 2020. "Chaotic signals inside some tick-by-tick financial time series," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    11. Frédéric Lordon, 1991. "Théorie de la croissance : quelques développements récents [Première partie : la croissance récente]," Revue de l'OFCE, Programme National Persée, vol. 36(1), pages 157-211.
    12. Davide Fiaschi & Cristiano Ricci, 2023. "The spatial evolution of economic activities and the emergence of cities," Papers 2310.07883, arXiv.org.
    13. Nijkamp, P. & Reggiani, A., 1990. "Spatio-temporal processes in dynamic logit models," Serie Research Memoranda 0063, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    14. Bullard, James & Butler, Alison, 1993. "Nonlinearity and Chaos in Economic Models: Implications for Policy Decisions," Economic Journal, Royal Economic Society, vol. 103(419), pages 849-867, July.
    15. Jos'e Pedro Gaiv~ao & Benito Pires, 2022. "Chaotic time series in financial processes consisting of savings with piecewise constant monthly contributions," Papers 2206.11933, arXiv.org, revised Feb 2023.
    16. Carolina Castaldi & Giovanni Dosi, 2003. "The Grip of History and the Scope for Novelty: Some Results and Open Questions on Path Dependence in Economic Processes," LEM Papers Series 2003/02, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    17. Murakami, Hiroki, 2018. "Existence and uniqueness of growth cycles in post Keynesian systems," Economic Modelling, Elsevier, vol. 75(C), pages 293-304.
    18. Nijkamp, Peter & Reggiani, Aura, 1995. "Non-linear evolution of dynamic spatial systems. The relevance of chaos and ecologically-based models," Regional Science and Urban Economics, Elsevier, vol. 25(2), pages 183-210, April.
    19. George P Malanson & Yu Zeng & Stephen J Walsh, 2006. "Complexity at Advancing Ecotones and Frontiers," Environment and Planning A, , vol. 38(4), pages 619-632, April.
    20. Ali Khan, M. & Piazza, Adriana, 2011. "Optimal cyclicity and chaos in the 2-sector RSS model: An anything-goes construction," Journal of Economic Behavior & Organization, Elsevier, vol. 80(3), pages 397-417.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envira:v:22:y:1990:i:11:p:1455-1467. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.