DeGroot
Just an example
DeGroot updating
i.e., new opinion is a weighted avg. of last opinions
\mathbf{W}
\mathbf{x}(t) \in \mathbb{R}^{n}
square matrix, rows sum to 1
vector of opinions/estimates/actions at \( t=1,2,... \); initial \( \mathbf{x}(0) \) is given
Updating rule
\mathbf{x}_{i}(t+1) = \sum_{j} w_{i j} x_{j}(t)
Networks
Outcomes
Networks
Outcomes
How does network structure matter for opinion outcomes?
Average behavior, polarization, ...
How can we target policies in view of that?
DeGroot updating
\mathbf{W}
square matrix, rows sum to 1
\mathbf{x}(t) \in \mathbb{R}^{n}
vector of opinions/estimates/actions at \( t=1,2,... \); initial \( \mathbf{x}(0) \) is given
\mathbf{x}_{i}(t+1) = \sum_{j} w_{i j} x_{j}(t)
Updating rule
etc...
How can we target policies in view of that?
Networks
Outcomes