C(t) · coherence
Candidate measure for jointly generated, non-trivial patterns: coordinated opening of space, connectivity and mutual response. Its measurement rule remains to be specified.
Thought experiment · Public-science entry
How football might be reframed from a zero-sum spectacle into a coherence engine.
What if a game rewarded not only defeating the opponent, but also creating surprising, risky and intelligible complexity together? The resonance game is not a finished rulebook; it is a public thinking space about incentives, cooperation and self-correction.

01 / The public bridge
Traditional football compresses attention into a binary outcome: victory or defeat. This clear dramaturgy creates emotion, yet it can also reward time-wasting, closure and the tactical destruction of an opponent’s options.
The thought experiment extends game G into G*: the result still matters, while visible cooperation, surprising use of space and jointly generated patterns receive additional weight. The affective reward is meant to shift from pure dominance towards pattern recognition—without removing conflict, risk or uncertainty.
This is also the social analogy: moral appeals rarely move an attractor. Changed feedback and incentives may instead create a space in which cooperation is not sacrifice, but the more compelling strategy.
02 / BenchEWS
Movement, passing and spatial data could operationalise hypothetical state variables. BenchEWS would not prove a ‘good game’; it would make competing measurement definitions, uncertainty and perverse incentives testable.
Candidate measure for jointly generated, non-trivial patterns: coordinated opening of space, connectivity and mutual response. Its measurement rule remains to be specified.
Time-varying weight with which coherence affects game incentives. Strong coupling is not automatically beneficial; it may also encourage conformity or collusion.
An actor’s unused options. It represents variance, alternative paths and the capacity to respond to disturbance in a different way.
Transition from an outcome-only game to an extended utility architecture. This is a design hypothesis, not a validated BenchEWS module.
03 / Diagnosis Cascade
Teams game the metric through harmless passing. C(t) rises while risk, novelty and genuine connectivity decline.
The game becomes inconsequential display. Audience response, strategic uncertainty and meaningful state changes decouple.
Time-limited catalyst rules or alternative scoring windows reopen paths. Every intervention must be tested for Goodhart effects.
04 / Academic depth
A possible utility function couples the classical result with a coherence term. Attractor dynamics may then be studied through a potential V(A;λ). What matters is not elegance alone, but whether every quantity is observable, identifiable and testable against null models.
Uᵢ*(t) = (1 − λ(t)) · Gᵢ(t) + λ(t) · C(t) + ρ · Rᵢ(t)Ȧ = −∂V(A; λ) / ∂A + η(t)Validation boundary: The proposed switching range of roughly 38–45% is currently a hypothetical model assumption. It is neither empirically derived nor validated by BenchEWS as a general critical value.
05 / Proposed working title
Status: concept for a working/discussion paper. No DOI publication, peer review or empirical validation yet.