For stationary ergodic processes the set of calibration-passing forecast distributions equals the mean-preserving contractions of the conditional distribution, allowing the dynamic game to be solved via static persuasion.
(61) It is a vector of |𝐹𝜖 | elements of size R| Ω| with one non-zero element (at the position for 𝑓 ) while the rest are equal to 0 ∈ R| Ω|
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Calibrated Forecasting and Persuasion
For stationary ergodic processes the set of calibration-passing forecast distributions equals the mean-preserving contractions of the conditional distribution, allowing the dynamic game to be solved via static persuasion.