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essay · 2026-10-21

Relative entropy periodic orbits empirical game theory simulation

The research shows that relative entropy can be used to quantify how far observed periodic orbits deviate from equilibrium predictions in deterministic discrete‑time evolutionary games (see “Periodic orbits in deterministic discrete-time evolutionary game dynamics”). This metric is derived from the information‑theoretic concept of relative entropy, which measures the divergence between probability distributions. The study reports that applying this method reveals a measurable gap between observed and expected convergence rates, indicating nonconvergent evolution (as described in “Periodic orbits in evolutionary game dynamics”). Understanding this gap is important for any system that models adaptive processes, because it highlights where traditional convergence assumptions break down (referencing the same source).

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