Mathematical analysis of Soros's theory of reflexivity

Details Mathematical analysis of Soros's theory of reflexivity Mathematical analysis of Soros's theory of reflexivity

2009-01-28

arxiv.org/abs/0901.4447v1

Economy

Quantitative Finance

General Finance

22 pages, 6 figures

Scientific paper

The mathematical model proposed by George Soros for his theory of reflexivity is analyzed under the framework of discrete dynamical systems. We show the importance of the notion of fixed points for explaining the behavior of a reflexive system governed by its cognitive and manipulative functions. The interrelationship between these two functions induces fixed points with different characteristics, which in turn generate various system behaviors including the so-called "boom then bust" phenomenon in Soros's theory.

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