We assume that there exists a derivationh t for the feedback structureȳ t , such that for all predictions y t , the (re-scaled) utility of the weak feedbackȳ t is higher than the (re-scaled) utility of the prediction y t by a fraction α of the maximum possible utility range (under the given utility model).
∀t, ∃h t , ∀h and for α ∈ (0, 1]: where ξ t ≥ 0 are slack variables allowing for violations of (2) for given α.