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ZoƩ Christoff edited section_Binary_Aggregation_and_DeGroot__.tex
about 8 years ago
Commit id: 20484f7eda1bc0c8280d8243b1ce9eb560502fc6
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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}