Symbolic Dynamics for Discrete Adaptive Games (2002)
Shalizi, Cosma Rohilla, Albers, David J.
We use symbolic dynamics to study discrete adaptive games, such as the minority game and the El Farol Bar problem. We show that no such game can have deterministic chaos. We put upper bounds on the...
On the Probability of Chaos in Large Dynamical Systems: A Monte Carlo Study (1997)
A Monte, Carlo Study, W. Davis Dechert, Julien C. Sprott, David J. Albers
In this paper we report the result of a Monte Carlo study on the probability of chaos in large dynamical systems. We use neural networks as the basis functions for the system dynamics and choose...