ZoĆ© Christoff edited section_Colorability_and_unanimity_In__.tex  about 8 years ago

Commit id: 4df3282ff0dca10cc2110e83fd35c4facaf1c874

deletions | additions      

       

Fix an opinion profile $\O$ and a (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 %\item  Step: for all $i \in \N$, $j\in \{1,...,m\}$, $\O_i^{n+1}(p_j)$ is given by: \begin{itemize}  \item %\begin{itemize}  %\item  $\O_i^{n+1}(p_j)=\O_i^{n}(p_j)$ if for some $j,k\in R_j(i)$,$\O_j^{n}(p_j)\neq \O_k^{n}(p_j)$, and \item %\item  $\O_i^{n+1}(p_j)\neq \O_i^{n}(p_j)$ otherwise. \end{itemize} %\end{itemize}  I AM NOT CONVINCED BY THE ABOVE STEP. MAYBE THIS (I ALSO SIMPLIFY NOTATION):  \item  for all $i \in \N$, $p \in \Atoms$: \begin{itemize}  \item   \begin{align}