Dynamics of Three-Strategy Symmetric Games

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This Demonstration shows the phase portrait in the 2D simplex of the single-sampling "imitate if better" dynamics in three-strategy symmetric games for large populations.
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Contributed by: Luis R. Izquierdo, Segismundo S. Izquierdo and William H. Sandholm (January 2020)
Open content licensed under CC BY-NC-SA
Details
This model is analyzed in detail in [1].
Snapshot 1: a game with seven critical points
Snapshot 2: rock paper scissors game without noise
Snapshot 3: rock paper scissors game with small noise
Snapshot 4: a game with one critical point and critical regions
Snapshot 5: a game with an internal critical region
Snapshot 6: a game with critical regions only
Reference
[1] S. S. Izquierdo and L. R. Izquierdo, "Stochastic Approximation to Understand Simple Simulation Models," Journal of Statistical Physics, 151(1–2), 2013 pp. 254–276. doi:10.1007/s10955-012-0654-z.
Snapshots
Permanent Citation