Removable Defects: The Economics and Limits of Deliberate Deficiency
arXiv:2607.11983v1 reframes model deficiencies (e.g., coarse-grained perception in LLMs or multimodal alignment gaps) as programmable design variables: kept by default for cost efficiency, and removed on-demand via a compensation channel only in rare fatal scenarios; its economic viability is formalized via the Ehrlich-Becker market-vs-self-insurance margin applied to competence gaps, with the detector as a Townsend costly-state-verification technology; removability is two-sided—detectors inside the defect yield zero premium and drive long-run negative growth under multiplicative dynamics, while detectors outside the defect achieve positive premium over structured uncertainty classes with severity capped or miss rate O(1/L).
Core Claim: Deficiency as a Controllable Design Variable
arXiv:2607.11983v1 challenges the conventional ‘defects must be minimized’ paradigm, introducing ‘Removable Defects’: explicit modeling of specific capability gaps (e.g., fine-grained reasoning blind spots in LLMs, cross-modal alignment deficits in multimodal models) as configurable design parameters—not bugs to eliminate. The deficiency is retained in the primary inference path to reduce compute/training cost, and dynamically bypassed only in rare high-stakes scenarios via routing to a compensation channel (e.g., a specialized verifier or fallback model).
Economic Viability Condition: Ehrlich-Becker Framework Adaptation
- Adapts the classic Ehrlich-Becker trade-off between market insurance and self-insurance to competence gaps: the deficiency acts as ‘self-insurance’, while the compensation channel serves as ‘market insurance’;
- The detector is modeled as a Townsend costly-state-verification technology, where deployment cost and misclassification penalty jointly determine compensation activation;
- Under structured uncertainty classes (e.g., severity bounded above, miss rate O(1/L)), an explicit advantage condition exists under which retaining the deficiency constitutes a computable optimal economic decision.
Two-Sided Characterization of Removability: Coupling Lemma and Boundary Theorems
- Coupling Lemma: If the deficiency is a coarsening of perception, no switch mechanism can decouple benefit from harm—that is, no trigger can activate compensation without degrading normal-path performance;
- Converse Result: A detector embedded within the deficiency structure earns zero risk premium; any within-defect policy mandating positive premium is driven to negative long-run growth under multiplicative dynamics;
- Achievability Result: A detector positioned strictly outside the deficiency structure achieves a positive risk premium—establishing a sufficient condition for removability.