10 · The same machinery everywhere — the point of the whole exercise
One measurement, three systems, no re-derivation:
A road network (Sioux Falls, real data). Logit route choice over BPR travel times. Toll a link, watch flows re-equilibrate, read the cross-response matrix. ℛ = 5.7×10⁻¹⁷ — zero. The system is an exact potential game (Beckmann's landscape exists), and the meter knows.
Colonel Blotto (budgets over battlefields). Same solve, same perturbation logic, same meter. ℛ = 0.12, α = 0.69 — strongly but not purely circulating (zero-sum ≠ pure harmonic, a fact the meter taught us).
Rock–paper–scissors. ℛ = 0.69, α = 1 — the pure extreme, with the dissipation meter showing the probability current physically circulating.
That is the thesis of this project in one table: potentiality is not a modelling assumption you make, it is a quantity you measure — the same instrument reading 0 where a potential exists, and loudly not-0 where strategy chases strategy in circles. Between the anchors sits everything interesting: pricing, electricity bidding, allocation contests — systems whose α nobody knows yet, and which these calibrated meters can now be pointed at.
Every number above regenerates from a fixed seed; the calibration gates, adversarial reviews, and the two occasions the meters corrected us (ℛ's λ-scaling; the response/dissipation decoupling) are all in the open repository. Instruments first; the readings decide the rest.