Leo Dubois

Decision to make: this formulation about creation is a fundamental mistake, even if it seems harmless. A proof does not create the equivalence; it reveals and formalizes it. The equivalence of sensitivities based on fixed points and KKT is an inherent property; we make it operational through proof. For example, for our actuarial calculations of future annuities, we rely on mathematically established relationships, not inventions. We must recognize the distinction between discovery and fabrication.

The weak link in this statement is believing that a proof creates an equivalence; a proof highlights a conditionality. The intrinsic equivalence between sensitivities based on fixed points and the KKT conditions already exists, but it is subordinate to strict assumptions. Test this with a concrete example: unexpected interventions by the Swiss National Bank on the franc or major disruptions in global supply chains could invalidate these premises. Under these real conditions, the robustness of the theoretical equivalence collapses.