λ is the risk-aversion dial handed to the optimizer, set on a continuous 0.1–10 scale by
the exact risk score; the ranges shown are what each tier’s band maps to. A higher λ
leans harder away from volatility. Caps and thresholds are allocation policy, not the
scoring math.
The Atlas Engine
Per-tier policy
Three tiers, one rulebook — every number read straight from the allocation code.
The user’s risk score (1–10) selects one of three tiers. All three share the same
optimizer; they differ only in which vaults are eligible and how concentrated the result
may get. Every number below is read straight from the allocation code.