# Dynamics of Three-Strategy Symmetric Games

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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.

[more]
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