Zoé Christoff edited untitled.tex  about 8 years ago

Commit id: d9a41a7d60e0efd0f9400956297cc72c03edbb0b

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\hline  a & 1 & 0 & 0 & \\   b & 0 & 0 & 1 & \\   c & 1 & \red{0} \bf{0}  & 1 & \\ \hline  majority & 1 & 0 & 1 &   \end{tabular}  

Look at simple non-probabilistic (0,1) case for an agenda with several issues.   The network of who delegates to whom is a forest (one tree for each issue).   Recall cases such as the following, with three agents, agenda {p,q, $\{p,q,  p \land q}, q\}$,  and the majority rule: Despite the fact that all 3 individuals are consistent, such simple cases famously give rise to inconsistent collective choices.  

Can we use Degroot models to model liquid democracy?   Look for possibly existing generalization of the Degroot model.   @Zoe: look for the conditions for convergence for {0,1} $\{0,1\}$  case in the Jackson book. ———————————————————