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Chaotic consumption patterns in a simple2-D addiction model

Author

Listed:
  • Gustav Feichtinger

    (Institute for Econometrics, Operations Research and System Theory, University of Technology, A-1040 Vienna, AUSTRIA)

  • Cars Hommes

    (Department of Economic Statistics and Tinbergen Institute, University of Amsterdam, 1018 WB Amsterdam, THE NETHERLANDS)

  • Alexandra Milik

    (Institute for Econometrics, Operations Research and System Theory, University of Technology, A-1040 Vienna, AUSTRIA)

Abstract

Consumption fluctuations in a simple 2-D addiction model are investigated. The behavioural equations of the model are suggested by a related `rational addiction' model of Becker and Murphy [2]. Our model generates erratic, seemingly unpredictable consumption patterns of the addicted persons. The occurence of chaos is proven by locating a so called horseshoe map in the phase space.

Suggested Citation

  • Gustav Feichtinger & Cars Hommes & Alexandra Milik, 1997. "Chaotic consumption patterns in a simple2-D addiction model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 147-173.
    • Handle: RePEc:spr:joecth:v:10:y:1997:i:1:p:147-173
    Note: Received: April 4, 1994; revised version March 25, 1996
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    Citations

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    Cited by:

    1. Takahashi, Taiki & Oono, Hidemi & Radford, Mark H.B., 2008. "Psychophysics of time perception and intertemporal choice models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2066-2074.
    2. Jungeilges, Jochen & Pavletsov, Makar & Perevalova, Tatyana, 2022. "Noise-induced behavioral change driven by transient chaos," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Neugart, Michael, 2004. "Complicated dynamics in a flow model of the labor market," Journal of Economic Behavior & Organization, Elsevier, vol. 53(2), pages 193-213, February.
    4. Ekaterina Ekaterinchuk & Jochen Jungeilges & Tatyana Ryazanova & Iryna Sushko, 2017. "Dynamics of a minimal consumer network with uni-directional influence," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 831-857, November.
    5. Yokoo, Masanori, 2000. "Chaotic dynamics in a two-dimensional overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 909-934, June.
    6. repec:ebl:ecbull:v:3:y:2004:i:20:p:1-16 is not listed on IDEAS
    7. Chen, Hung-Ju & Li, Ming-Chia, 2008. "Productive public expenditures, expectation formations and nonlinear dynamics," Mathematical Social Sciences, Elsevier, vol. 56(1), pages 109-126, July.
    8. Alamar Benjamin & Glantz Stanton A., 2006. "Modeling Addictive Consumption as an Infectious Disease," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 5(1), pages 1-24, March.

    More about this item

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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