OCModel Network

Final Project for GS3754, Opinion Convergence Model Network.

The Opinion Convergence Model is the Opinion Dynamics method that applies the Friedkin-Johnsen method. This is a network model for observing the movement of model opinions according to the initial opinion distribution.

Here is the equation for Opinion Convergence Model Network.

$$ G = (V, E), $$ $$ V = {1, 2, \dots, N}, $$ $$ E = {(i, j) \mid A_{ij} = 1, , i \neq j }, $$ $$ A \in {0, 1}^{N \times N}, $$ $$ T = {1, 2, \dots, T_{end}}, $$ $$ \beta \in [0,1], $$ $$ x_t \in \mathbb{R}^{1 \times N}, x_{t} \in [-1, 1] \quad \forall t \in T \cup {0} $$ $$ \lambda_{i} = \beta x_{0i}, \forall i \in N $$ $$ W \in \mathbb{R}^{N \times N}, $$ $$ x_t = \lambda A x_{t-1} + (1-\lambda)x_0. \quad\forall t \in T $$

How to Run this code

For Simulation one time.

python opinion.py

For Simulation multiple times.

python sim.py