decade-rider / opiniondynamics

The repository contains all code used to generate the figures of the project report for the following models: original Hegselmann-Krause, ODE, SDE and PDE.

OpinionDynamics

The repository contains all the code that was used to create the plots for the report

Some of the code takes a while to run and is therefore commented out. The corresponding results of the code that is commented out can be found in the savedResults directory.

Hegselmann-Krause models

Code available in HK.ipynb

• Figure 1.1: some basic sample simulations
• Figure 1.4: comparison: average number of clusters, 2R-conjecture, trace method (symmetric case)
• Figure 1.5: average number of clusters on (e_l, e_r)-grid
• Figure 1.6: comparison: average number of clusters, 2R-conjecture, trace method (fixed asymmetry)
• Figure 1.7: same as 1.6 for larger e_l, e_r
• Figure 1.8: sample simulations fixed asymmetry
• Figure 1.11: comparison: average number of clusters, 2R-conjecture, trace method (opinion dependent asymmetry)

ODE models

Code available in ODE.ipynb

• Figure 2.1: sample simulations (comparison sum and average of differences)
• Figure 2.2: comparison average number of clusters (sum and average of differences)
• Figure 2.3: average number of clusters on (e_l, e_r)-grid
• Figure 2.4: sample simulation opinion dependent asymmetry
• Figure 2.5: average number of clusters for opinion dependent asymmetry: (e,m)-grid

SDE models

Code available in SDE.ipynb

• Figure 3.1: sample simulation naive SDE model
• Figure 3.3: simulation of expected trajectories
• Figure 3.4: sample simulations with order parameter
• Figure 3.5: average order parameter on (e, s)-grid
• Figure 3.6: sample simulations for specific points on grid
• Figure 3.8: sample simulations fixed asymmetry
• Figure 3.9: sample simulations fixed asymmetry with mean
• Figure 3.10: average period of mean

PDE models

Code available in PDE.ipynb

• Figure 4.1: sample simulations symmetric PDE model
• Figure 4.2: peak position and time derivative at time 0 and x=0.5 on (e, s)-grid
• Figure 4.5: sample simulations asymmetric PDE model
• Figure 4.6: position of peak as function of time
• Figure 4.7: period of peak as function of s