How it works, and how we know

Lab

Every number below is computed on request by the deployed solver — float64 JAX on the backend, nothing simulated in the browser. Slide λ and watch the meters.

Game
harmonic fraction α
potential → relaxesharmonic → circulates
rationality λ = 1.20
0.1 · noise8 · sharp
equilibrium mix σ*(λ)
reciprocity defect ℛ

0 ⟺ potential game — exactly

feedback gain ρ(SB)

ρ ≥ 1: supercritical, χ unreliable

entropy production σ
the whole branch — ρ(SB) along λ
tracing branch…

On potential games this curve can be non-monotone — rise toward criticality, then escape as λ sharpens the equilibrium (finding F-0006). Harmonic games cross ρ = 1 and stay there.

▶ try it · guess λ from the data — then let the instruments answer
live float64 solver