Abstract
After the acceptance of the editor’s invitation to contribute to this volume, I was confronted to the following decision problem. Should I add another survey on oscillations and chaos in social sciences or is it not better (hopefully for the readers too) to provide some preliminary report on research not yet finished? As one can see below, the decision was made for the second alternative. To cover the topic of my lecture at the Mannheim meeting on Formal Methods in Demography (December 4–6, 1991) I refer to the recent survey on nonlinear dynamical systems as applied to population dynamics (Feichtinger and Prskawetz, 1992); see also Feichtinger (1990).
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References
Abraham, R.H., and Shaw, C.D. (1982–88): Dynamics - The Geometry of Behavior. Part One: Periodic Behavior, Part Two: Chaotic Behavior, Part Three: Global Behavior, Part Four: Bifurcation Behavior. The Visual Mathematics Library, Santa Cruz, Aerial Press.
Becker, G.S., and Murpy, K.M. (1988): A theory of rational addiction. Journal of Political Economy 96 /4, 675–700.
Behrens, D. (1992): Two— and three—dimensional models on the arms race. Diplomarbeit, Institut für Okonometrie, Operations Research und Systemtheorie, Technische Universität Wien.
Behrens, D., and Feichtinger, G. (1992): A nonlinear dynamical model on arms race. Forschungsbericht 145 des Instituts für Okonometrie, OR und Systemtheorie, Technische Universität Wien, März, submitted to Journal of Conflict Resolution.
Benhabib, J. Ed. (1992): Cycles and Chaos in Economic Equilibrium. Princeton University Press, Princeton, NJ.
Devaney, P.L. (1989): An Introduction to Chaotic Dynamical Systems. Redwood City, CA, Addison—Wesley.
Dockner, E., and Feichtinger, G. (1991): On the optimality of limit cycles in dynamic economic systems. Journal of Economics, 31–50.
Dockner, E., and Feichtinger, G. (1992): Cyclical consumption patterns and rational addiction. Forthcoming in American Economic Review.
Feichtinger, G. (1990): Demographische Prognosen und populationsdynamische Modelle. In: Felderer, B. (Ed.), Bevölkerung und Wirtschaft. Berlin, Duncker & Hum-blot, 71–92.
Feichtinger, G. (1992): Rational addictive cycles (’binges’) under a budget constraint. Forthcoming in Optimal Control Applications Sc Methods 13.
Feichtinger, G., Herold, W., and Zinner, P. (1992): Habit formation with threshold adjustment: addiction may imply chaos. Forschungsbericht 140 des Instituts für Okonometrie, OR und Systemtheorie, Technische Universität Wien, Jänner.
Feichtinger, G., and Prskawetz, A. (1991): Seltsames Verhalten nichtlinearer demographischer Prozesse. Forschungsbericht 137 des Instituts für Okonometrie, OR und Systemtheorie, Technische Universität Wien, Dezember. Erscheint 1992 in Acta Demographica.
Feichtinger, G., and Wirl, F. (1992): Complex addictive consumption paths — nonlinear modifications of a model of Becker and Murphy. Forschungsbericht 142 des Instituts für Okonometrie, OR und Systemtheorie, Technische Universität Wien, Februar.
Hommes, C.H., and Feichtinger, G. (1992): How addiction implies binges and chaos. Forschungsbericht 152 des Instituts für Okonometrie, OR und Systemtheorie, Technische Universität Wien, August. Iannacone, L.R. (1986): Addiction and satiation. Economics Letters 21, 95–99.
Kratky, K.W., and Bonet, E.M. Eds. (1989): Systemtheorie und Reduktionismus. Wien, Österreichische Staatsdruckerei.
Ryder, H.E., and Heal, G.M. (1973): Optimal growth with intertemporally dependent preferences. Review of Economic Studies 40, 1–33.
Schaffer, W.M., Truty, G.L., and Fulmer, S. (1988): Dynamical Software — User’s Manual and Introduction to Chaotic Systems. Dynamical Systems Inc., Tucson, Arizona.
Seyfritz, W. (1989): Wachstum, Rückkopplung und Chaos. Eine Einführung in die Welt der Nichtlinearität und des Chaos. München, C. Hanser.
Wiggins, S. (1990): Introduction to Applied Nonlinear Dynamical Systems and Chaos. New York, Springer.
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Feichtinger, G. (1992). Nonlinear Threshold Dynamics: Further Examples for Chaos in Social Sciences. In: Haag, G., Mueller, U., Troitzsch, K.G. (eds) Economic Evolution and Demographic Change. Lecture Notes in Economics and Mathematical Systems, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48808-5_7
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