Efficiency of Information Spreading in a population of diffusing agents
Abstract
We introduce a model for information spreading among a population of N agents diffusing on a square LxL lattice, starting from an informed agent (Source). Information passing from informed to unaware agents occurs whenever the relative distance is < 1. Numerical simulations show that the time required for the information to reach all agents scales as N-alphaLbeta, where alpha and beta are noninteger. A decay factor z takes into account the degeneration of information as it passes from one agent to another; the final average degree of information of the population, Iav(z), is thus history-dependent. We find that the behavior of Iav(z) is non-monotonic with respect to N and L and displays a set of minima. Part of the results are recovered with analytical approximations.
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