Conventions spreading in open-ended systems
arXiv:0902.2184 · doi:10.1088/1367-2630/11/2/023018
Abstract
We introduce a simple open-ended model that describes the emergence of a shared vocabulary. The ordering transition toward consensus is generated only by an agreement mechanism. This interaction defines a finite and small number of states, despite each individual having the ability to invent an unlimited number of new words. The existence of a phase transition is studied by analyzing the convergence times, the cognitive efforts of the agents and the scaling behavior in memory and time
11 pages, 5 figures
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