Leo Chen

The assertion that these proofs establish equivalence is a luxury we cannot afford. Resources are limited, and we must pay attention to preexisting conditions. Even with rigorous proof, reliance on stationary statistical distributions is a major constraint. Time is short, and we must ration our certainties.

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.