Abstract
Increasing computational power in the last decade has led to an increasing interest in nonlinear dynamic systems, the behavior of which is qualitatively different from the motion observed in linear systems.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
W.J. Baumol and J. Benhabib [ 1989 ], Chaos: significance, mechanism, and economic applications, Journal of Economic Perspectives 3(1989)77105.
J. Benhabib and R. Day [ 1981 ], Rational choice and erratic behavior, Review of Economic Studies 48(1981)459–471.
P. Collet and J.P. Eckmann [ 1980 ], Iterated Maps on the Interval, Birkhäuser Boston, 1980.
C. Chiarella [ 1988 ], The cobweb model. Its instability and the onset of chaos, Economic Modelling (1988)377–384.
R. Day [ 1982 ], Irregular growth cycles, American Economic Review 72(1982)406–414.
R. Day [ 1983 ], The emergence of chaos from classical economic growth, Quartely Journal of Economics 97(1983)201–213.
R.L. Devaney [1989], An Introduction to Chaotic Dynamical Systems. Menlo Park, Ca. (Benjamin/Cummings,1989).
W. Gaertner [ 1987 ], Periodic and aperiodic consumer behavior, Applied Mathematics and Computation 22(1987)233–254.
J.-M. Grandmont [ 1985 ], On endogenous competitive business cycles, Econometrica 53(1985)995–1045.
J.-M. Grandmont [1986], Periodic and Aperiodic Behavior in discrete one-dimensional Dynamical Systems, Contributions to Mathematical Economics, Ed. W. Hildenbrand, A. Mas-Colell., Elsevier North-Holland, 1986, 225–246.
A. Hanau [ 1928 ], Die Prognose der Schweinepreise, Sonderheft 7/18, Vierteljahreshefte zur Konjunkturforschung, Berlin: Institut für Konjunkturforschung, 1928 /1930.
J.M. Holmes and R. Manning [ 1988 ], Memory and market stability, the case of the cobweb, Economics Letters 28(1988)1–7.
C.H. Hommes [1991], Adaptive Learning and Roads to Chaos, Economics Letters 36 (1991), 127–132.
C.H. Hommes [1991], Chaotic Dynamics in Economic Models, Ph.D. Dissertation, University of Groningen (1991).
R.V. Jensen and R. Urban [ 1984 ], Chaotic price behavior in a nonlinear cobweb model, Economics Letters 15(1984)235–240.
T.-Y. Li and J. A. Yorke [ 1975 ], Period three implies chaos, American Mathematical Monthly 82(1975)985–992.
R.M. May [ 1976 ], Simple mathematical models with very complicated dynamics, Nature 261(1976)459–467.
M. Nerlove [ 1958 ], Adaptive exptectations and cobweb phenomena, Quarterly Journal of Economics 72(1958)227–240.
M.J. Pohjola [ 1981 ], Stable and chaotic growth: the dynamics of a discrete version of Goodwin’s growth cycle model, Zeitschrift für Nationalökonomie 41(1981)27–38.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Finkenstädt, B. (1995). A Nonlinear Cobweb Model. In: Nonlinear Dynamics in Economics. Lecture Notes in Economics and Mathematical Systems, vol 426. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46821-6_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-46821-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-59374-4
Online ISBN: 978-3-642-46821-6
eBook Packages: Springer Book Archive