Abstract
In discrete calendar time, let us consider once more a competitive economy under stationary fundamentals, containing n goods, and let its deterministic temporary equilibrium,1 when all economic agents choose their best programs with reference to two periods only, “present” and “future”, be expressed, period after period, by
where \(\theta \in {\Re ^m}\) is a vector of parameters expressing, for instance, the mech- anism used by agents to forecast future prices.
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See § 26.2.
In continuous time, the differential equation equivalent to (30.2) was introduced in 1838 by the Belgian mathematician Verhulst to study the dynamics of human populations.
For instance, Devaney (1989, pp.268–272).
The book by Nusse and Yorke (1994) presents many numerical explorations on the trajectories generated by the logistic map, and by other one- or two-dimensional maps; for a picture of a path generated by the logistics, see, for instance, their figure at p.47.
One of the first monographs on dynamic systems in discrete time is Collet and Eckmann (1980).
Maybe the auctioneer.
Here we are interested only in this type of analysis.
See also Devaney (1989, p.269).
It is well-known that in the most mathematically oriented sciences the greatest part of the phenomena under study are governed by non-linear equations.
See Kloeden (1979, p.174); the definition of Sharkovsky’s order can be seen in Drazin (1992, pp.132–133).
See also Kaplan and Yorke (1979).
But remember the point of view expressed by Ruelle (1988), reported at the end of § 30.1.
See § 26.3.
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© 2000 Springer-Verlag Berlin Heidelberg
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Nicola, P. (2000). Deterministic Chaos. In: Mainstream Mathematical Economics in the 20th Century. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04238-0_30
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DOI: https://doi.org/10.1007/978-3-662-04238-0_30
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