Evolutionary Game Theory

Replicator dynamics, ESS, Moran processes, spatial games, co-evolution, and biological applications.
TUTORIALS

Evolutionary Game Theory

Replicator dynamics, ESS, Moran processes, spatial games, co-evolution, and biological applications.

Evolutionarily stable strategies (ESS)

evolutionary-gt
evolutionarily-stable-strategies
hawk-dove
stag-hunt

Define and compute evolutionarily stable strategies for symmetric 2x2 games, apply to Hawk-Dove, Stag Hunt, and Prisoner’s Dilemma, and visualize invasion dynamics and fitness landscapes.

May 8, 2026

Hawk-Dove and the war of attrition — escalation in evolutionary games

evolutionary-gt
hawk-dove
war-of-attrition
escalation

Model the continuous-time war of attrition as an extension of the Hawk-Dove game in R, derive the mixed ESS with exponential waiting times, and visualise how resource value and fighting costs shape escalation behaviour.

May 8, 2026

Moran process in finite populations

evolutionary-gt
moran-process
finite-populations
stochastic-dynamics

Implement and analyze the Moran process for frequency-dependent selection in finite populations, computing fixation probabilities analytically and via simulation for 2-strategy evolutionary games.

May 8, 2026

Replicator dynamics for Rock-Paper-Scissors with deSolve

evolutionary-gt
replicator-dynamics
rock-paper-scissors
desolve

Derive and simulate the replicator dynamics for the Rock-Paper-Scissors game in R using deSolve, visualizing cyclic orbits on the 2-simplex.

May 8, 2026

Replicator-mutator dynamics — evolution with mutation

evolutionary-gt
replicator-mutator
mutation
rock-paper-scissors

Extend the standard replicator equation with a mutation matrix Q, implement the ODE system using deSolve in R, and show how mutation stabilises the interior equilibrium of Rock-Paper-Scissors.

May 8, 2026

Spatial Evolutionary Games: Cooperation on Grids and Networks

evolutionary-gt
spatial-games

Implement evolutionary dynamics on a 2D lattice where agents play the Prisoner’s Dilemma with neighbours, showing how spatial structure enables cooperator clusters to survive even when defection dominates in well-mixed populations.

May 8, 2026
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