Small replicator equation setup (2d) with prisoner's dilemma payoff matrix (can be adjusted): (dx/dt)_i = x_i*((A*x)_i-x^T*A*x)

Wikipedia: 100 Prisoners Problem

Small replicator equation setup (2d) with prisoner's dilemma payoff matrix (can be adjusted): (dx/dt)_i = x_i*((A*x)_i-x^T*A*x)

This model provides insight into how citizens' decisions affect each others' behavior in the long run. This society is composed of 100 individuals, 99 of which naturally cooperate, one of which has a tendency to defect. In this society, if any cooperating citizen interacts with a defecting citizen, he or she in the future will no longer cooperate. This model predicts with a rate of interaction of .006, it will take 20 years for a society with originally 1% defecting to reach 100% defecting.

Small replicator equation setup (2d) with prisoner's dilemma payoff matrix (can be adjusted): (dx/dt)_i = x_i*((A*x)_i-x^T*A*x)

Small replicator equation setup (2d) with prisoner's dilemma payoff matrix (can be adjusted): (dx/dt)_i = x_i*((A*x)_i-x^T*A*x)