Propagação de rumor em uma população cética em N

Abstract

We consider two models for information propagation in N. In both models, the individuals (one per site of N) have random, independent, and equally distributed radius. At the beginning only the individual at 0 has the information. In the first model, the “firework model”, each informed individual will inform the individuals to its right that are within its radius, in the “reverse firework model”, each individual will get the information from the informed individuals on its left that are within its radius. The necessary and sufficient conditions are already known in the literature about the distribution of radius to have survival (positive probability of having infinitely many informed individuals) in each model. In this dissertation, we will obtain results for the extension of these models when individuals believe the information (get informed) only if they receive it (or take it) from at least 2 informed individuals.