7. When reviewers share a blind spot · Convergence Programming

The paper derives a conditional action window under stated assumptions. Explore how verifier count, shared blind spots, and critical risk per action change the calculated bound. The distinction is between verifier multiplicity and verifier independence: additional reviewers may repeat an existing blind spot instead of supplying independent evidence.

The figure evaluates a conditional action-window expression with illustrative inputs. With zero assumed shared blind spot and otherwise fixed inputs, the calculated window grows as verifiers are added. A positive shared blind spot creates a finite ceiling: further verifiers can still increase the calculated window, with diminishing gains. These calculations depend on their risk and independence assumptions; they do not establish permission for a real action.

Shared model families, prompts, training data, or evaluative frames can produce correlated misses. In this expression, a positive shared blind spot sets a ceiling. More verifiers reduce the independent-miss term, but cannot remove that floor. The calculated window can grow toward the ceiling; it does not become unlimited.

Using the bound requires justified risk estimates, evidence applicable to the proposed action, and no unresolved critical blocker. Changed tools, policies, or operating conditions can require fresh observations. Long-running agency therefore needs renewed evidence as its conditions change, rather than treating an earlier approval as indefinitely valid.

The explorer fixes the failure budget at 0.05 and the independent miss rate at 0.35. These are illustrative assumptions, not measurements of a deployed system. The question is which observations and assumptions support an action window, and when those grounds need to be reexamined.