Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-06-17
Physics
Condensed Matter
Disordered Systems and Neural Networks
24 pages, 3 figures, submitted to PRE
Scientific paper
10.1103/PhysRevE.70.056102
We formulate a theory of agent-based models in which agents compete to be in a winning group. The agents may be part of a network or not, and the winning group may be a minority group or not. The novel feature of the present formalism is its focus on the dynamical pattern of strategy rankings, and its careful treatment of the strategy ties which arise during the system's temporal evolution. We apply it to the Minority Game (MG) with connected populations. Expressions for the mean success rate among the agents and for the mean success rate for agents with $k$ neighbors are derived. We also use the theory to estimate the value of connectivity $p$ above which the Binary-Agent-Resource system with high resource level goes into the high-connectivity state.
Chan Y.-H.
Hui Pak Ming
Johnson Neil F.
Lo Tak Shing
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