ZoĆ© Christoff edited section_Unanimity_and_2_colorability__.tex  about 8 years ago

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We define the dynamics of opinions under the unanimity rule in the obvious way:  \begin{definition}[UP]  Fix an opinion profile $\O$ and a (non-necessarily (serial but non-necessarily  functional) 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 $i \in \N$, $j\in \{1,...,m\}$, $\O_i^{n+1}(p_j)$ is given by: