Anticipatory Systems, Preferences, & Averages
AbstractBehavior of systems that are functions of anticipated behavior of other systems, whose own behavior is also anticipatory but homeostatic and determined by hierarchical ordering, which changes over time, of sets of possible environments that are not co-possible, is proven to be highly non-linear and sensitively dependent on precise parameters. Averages and other kinds of aggregates cannot be calculated for sets of measurements of behavior of systems, defined in this essay, that are "index complex" in this way. This includes many systems, for instance, social behavior, where anticipation of behavior of other individuals plays a central role. Analysis by way of generalized functions of complex variables is done for these kinds of systems, and equations of change of state are formally described. Behavior that comprises of responses to market interest rates is taken for example.
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Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 1301.4207.
Date of creation: Jan 2013
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Web page: http://arxiv.org/
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-01-26 (All new papers)
- NEP-EVO-2013-01-26 (Evolutionary Economics)
- NEP-HME-2013-01-26 (Heterodox Microeconomics)
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