Water-filling vs the fixed-oversight paradigm

The same review effort, allocated three ways across a set of delegated tasks. The Minimum Sufficient Oversight Principle distributes authority by the Euler-Lagrange rule; the baseline paradigm reviews everything uniformly. MSO meets the same delivery target at the least governance cost ∫α²√g — and the gap grows with task heterogeneity.

Governance cost by policy (same delivery — lower is better)

Per-task authority α* (MSO concentrates oversight 1−α on the weak tasks)

authority α (MSO)   oversight 1−α  ·  tick = uniform α

Task allocation (endogenous scope: which tasks to delegate)

Computed by mso-core.js (solveMSO, selectScope) — the water-filling solver and scope selection are pinned to minimal_oversight.allocation by the parity test. Water-filling is the constrained minimum of the Fisher-weighted oversight integral, so MSO never costs more than uniform; with all tasks equal it equals uniform, and the advantage grows as competence varies.