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The Underlying Thesis Read chapter Read first chapter

2014 | OriginalPaper | Chapter

8. Why Viability Theory?

Author : Jean-Pierre Aubin

Published in: Time and Money

Publisher: Springer International Publishing

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Abstract

Viability theory ([ 7, 9, Aubin] and [15 , Aubin, Bayen & Saint-Pierre]) designs and develops mathematical and algorithmic methods for investigating the adaptation to viability constraints of evolutions governed by complex systems under uncertainty that are found in many domains involving living beings, from biological evolution to economics, from environmental sciences to financial markets, from control theory and robotics to cognitive sciences.

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previous chapter Endowing Exchange Values: Adam Smith’s Invisible Man
next chapter What Is to Be Done?
Footnotes
1
Open loop controls can be only measurable. When the map \(f: X \times \mathcal{U}\mapsto X\) is continuous, the Carathéodory Theorem states that differential equation (8.1), p. 119 has solutions even when the open loop control is just measurable, (and thus, can be discontinuous as a function of time). This is the case whenever they take their values in a finite set, in which case they are usually called “bang-bang controls” in the control terminology.
 
Literature
7.
Aubin J-P (1991) Viability theory. Birkhäuser
9.
Aubin J-P (1997) Dynamic economic theory: a viability approach. Springer
11.
Aubin J-P (2000) Mutational and morphological analysis: tools for shape regulation and morphogenesis. Birkhäuser
15.
Aubin J-P, Bayen A, Saint-Pierre P (2011) Viability theory. New directions. Springer
Metadata
Title
Why Viability Theory?
Author
Jean-Pierre Aubin
Copyright Year
2014
Book
Time and Money

Print ISBN: 978-3-319-00004-6

Electronic ISBN: 978-3-319-00005-3

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-00005-3_8