Math

Prisoner's dilemma tournament

Compare five strategies in a noisy repeated prisoner’s dilemma, inspect cooperation histories and watch population shares evolve from a tournament payoff matrix.

By Mykhailo Makarov

Actual application image

Try this

Compare repeated strategies in the upper history: blue cooperates, pink defects. Lower bars evolve by the replicator equation using a separately sampled round-robin payoff matrix.

Equations used in the module

Equations
T > R > P > S; default (T,R,P,S) = (5,3,1,0)
fi = Σj Aij xj; mean(f) = Σi xi fi
xi′ = xi(fi − mean(f)); Σxi = 1
Tit for tat: cooperate first, then copy opponent’s previous action

Related experiments

Back to catalogue

Math

Kalman filter

Track a moving target with a two-dimensional Kalman filter. Tune process and measurement noise, compare raw observations with the estimate, and inspect the covariance ellipse.

Math

Bézier curves and splines

Edit control points and inspect the geometric construction of cubic Bézier curves and clamped cubic B-splines.

Math

Convex hull

Construct convex hulls with Jarvis wrapping, Graham scan and QuickHull, add points and compare orientation-test counts.