In specialized fields, the blind spots tolerated by experts are unacceptable to generalists. Typically, this is viewed as a cost to minimize; however, we treat it as a design variable: deficiencies can be retained when economically beneficial and removed in rare fatal situations through compensation channels.
We present three main results. First, we establish an advantage condition under which retaining a deficiency is a computable economic position; structurally, this applies the Ehrlich-Becker market vs. self-insurance margin to a competence gap, with the detector serving as a Townsend costly-state-verification technology.
Second, we provide a two-sided characterization of removability. A coupling lemma shows that when the deficiency is a coarsening of perception, no switch can separate benefit from harm, leading to a converse (a confounded detector earns zero premium, and any within-defect policy insisting on positive premium is driven to negative long-run growth under multiplicative dynamics), and an achievability result (a detector outside the deficiency earns a positive premium). Together, over structured uncertainty classes with severity capped or miss rate O(1/L): a defect is profitably removable iff the detector-relevant distinction survives the restriction and the advantage condition holds; the premium is the support function of the class's ROC set at an economic price vector.
Third, observation defects and capacity defects differ based on whether access to the deployment distribution can rescue them; the gap decomposes into cross-leak plus a closure deficit, and per-task randomization buys back the latter, never the former. The detector can be learned from declared fatal categories at a training cost linear in loss severity (up to a log factor). These results synthesize Chow's reject option, Kelly growth under ruin, and selective prediction.
Blogger's Review: This paper explores the role of defects in economic decision-making, offering a novel perspective that emphasizes the potential benefits of retaining deficiencies under certain conditions. By analyzing the economics of removability and the value of detectors, it provides a significant theoretical foundation for understanding defect management in complex systems.