Version 2 provides the full mathematical formalization of the design-first architecture introduced in Version 1. This version establishes strict convexity and uniqueness guarantees, affine equivariance under global metric transformations, regime-parameterized weighting via constrained α-sets, and formal domain validity conditions. Two worked examples (probabilistic forecasting and multi-criteria aggregation) are included, together with Monte Carlo validation assessing robustness, flip-rate stability, and regret behavior under noise perturbations. This version represents the current formal specification of the method.
Boris Dzhongov (Fri,) studied this question.