Equilibrium Causal Games: Separation, Identification, and the Identifiability of Cyclic Latent States
Power grids, markets, and interacting populations, settle into feedback driven equilibria observed through unknown sensors. Our Equilibrium Causal Game (ECG) joins a game to its cyclic causal model, hidden inputs, sensor map, and rules for interventions and equilibrium selection; interventions edit declared objects and recompute equilibrium. Under stated conditions, ECG-separation is sound but incomplete in our examples. Back-door/half-trek routes identify observed queries. Yet for an untouched rotationally symmetric Gaussian block, second moments determine only a source-frame rotation, across which distinct-variable effects generically change. Unknown sensing creates a separate ambiguity...
| Authors | Faraz Dadgostari, Neda Nazemi |
|---|---|
| Primary category | math.OC |
| Published | 21 July 2026 |
| Last updated at source | 21 July 2026 |
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