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arxiv: cond-mat/0405037 · v1 · submitted 2004-05-03 · ❄️ cond-mat.dis-nn

Error-driven Global Transition in a Competitive Population on a Network

classification ❄️ cond-mat.dis-nn
keywords transitionglobalnetworkcompetitivephasepopulationanalyticallyboundary
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We show, both analytically and numerically, that erroneous data transmission generates a global transition within a competitive population playing the Minority Game on a network. This transition, which resembles a phase transition, is driven by a `temporal symmetry breaking' in the global outcome series. The phase boundary, which is a function of the network connectivity $p$ and the error probability $q$, is described quantitatively by the Crowd-Anticrowd theory.

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