Abstract
We study a model for the emergence of collective decision making, consisting of N interacting agents, whose opinions are described by Ising spin variables. In particular, we present dynamical phase transitions from ordered to chaotic behavior in the space-time evolution of the binary choice network. One focus of this study is the determination of critical parameters, where the network is placed “at the edge of chaos,” i.e., at a subtle compromise between stability and flexibility, where the system has both, the necessary stability and the potential for “evolutionary” improvements.
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