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Davide Grossi edited untitled.tex
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\end{itemize}
We call processes defined by the above dynamics \emph{Boolean DeGroot processes} (BDPs).
\end{definition}
It should be clear that the above dynamics is the extreme case of linear averaging applied on binary opinions and binary influence.
BDPs are also limit cases of processes that have recently been proposed in the multi-agent systems literature as \emph{propositional opinion diffusion} processes \cite{Grandi:2015:POD:2772879.2773278}, i.e., cases where 1) the aggregation rule is the unanimity rule (an agent adopts an opinion if and only if all her influencers agree on it), and 2) each agent has exactly one influencer.