Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2002-06-13
Physics
Condensed Matter
Disordered Systems and Neural Networks
12 pages, 6 figures
Scientific paper
Complex systems can exhibit unexpected large changes, e.g. a crash in a financial market. We examine the large endogenous changes arising within a non-trivial generalization of the Minority Game: the Grand Canonical Minority Game (GCMG). Using a Markov Chain description, we study the many possible paths the system may take. This `many-worlds' view not only allows us to predict the start and end of a crash in this system, but also to investigate how such a crash may be avoided. We find that the system can be `immunized' against large changes: by inducing small changes today, much larger changes in the future can be prevented.
Hart Michael L.
Johnson Neil F.
Lamper David
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