ZoĆ© Christoff edited section_Binary_Aggregation_and_DeGroot__.tex  about 8 years ago

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Now fix an opinion profile $\O$ and an influence profile $\G$. Consider the stream $\O^0, \O^1, \ldots, \O^n, \ldots$ of opinion profiles recursively defined as follows:  \begin{itemize}  \item Base: $\O_0 := \O$  \item Step: for all $i \in \N$, $j\in \{1,...,m\}$, $\O_i^{n+1}(p_j) $p\in \Atoms$, $\O_i^{n+1}(p)  := \O^{n}_{R_j(i)}(p_j)$. \O^{n}_{R_p(i)}(p)$.  \end{itemize}  We call processes defined by the above dynamics \emph{Boolean DeGroot processes} (BDPs).  \end{definition}