Vanishing Transformation Defects and Decision Reversal in Stochastic Decision Systems

This preprint studies a failure mode in stochastic decision systems in which a transformation defect decreases monotonically toward zero while its decision-relative significance increases and eventually reverses a decision. For a pairwise linear decision functional, the paper separates absolute task-visible transformation defect from decision-normalized vulnerability. A general asymptotic proposition identifies the rate mechanism by which an adverse vanishing defect can outlast a more rapidly vanishing decision margin. An exact rational three-state construction then realizes the phenomenon using a fixed strictly positive doubly stochastic transformation and a trajectory entirely within the simplex interior. In this construction, the task-visible defect decreases to zero while normalized vulnerability increases without bound, with an exact transformed decision crossing at t* = ln(90). A block embedding with uniform positive regularization extends the construction to every finite simplex dimension n >= 3, preserving strict positivity and the crossing time. The contribution is intentionally narrow: margin-based robustness and small-perturbation decision changes are established ideas. The candidate contribution is the combined dimension-general stochastic construction demonstrating that vanishing task-visible transformation defect does not imply eventual decision agreement.