docs(kb): explore source-84 leads — drawdown taper (kept) + Merton γ (promoted) - #129
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…(promoted) Measures the two candidate leads flagged in KB source-84 §84.16, "settled by measurement" style. New stdlib-only study explore_leads.py (+18 tests, 56 total in the dir) writing reports/2026-07-23-drawdown-taper-and-merton-exploration.md. - §84.4 dynamic drawdown taper → KEEP as ceiling/diagnostic (not built): barely engages on keel's 1% base; its value is unlocking a HIGHER base — tapered quarter-Kelly at D<20% (below keel's hard breaker) dominates both flat-1% on growth (4.27x vs 2.08x) and untapered quarter-Kelly on safety (hard-breaker trips 99.8%→0%). Strictly conditional on D<breaker; half-Kelly base too large. Only pays off if the base is ever raised off 1%, which §58.11/§84.14 oppose. - §84.6 Merton γ → PROMOTE to diagnostic (not a risk_pct change): keel's implied γ ≈ 24 (floor) / ≈ 34 (stronger edge) — 24–34× more risk-averse than full Kelly. A fixed γ is edge-and-variance-aware (sizes the stronger edge 1.39% vs 1.00%) where flat-1% cannot be; effective λ = 4.00%/3.76% matches keel-1%'s ~4%-of-Kelly. Updates source-84 §84.4/§84.6/§84.16 + the README index row with measured outcomes. Deterministic; 56 tests pass; ruff clean. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
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Measures the two candidate leads flagged in KB source-84 §84.16, in the KB's "settled by measurement" style. Adds a stdlib-only study (
explore_leads.py, +18 tests → 56 in the dir) and a report, and folds the verdicts back into source-84 §84.4/§84.6/§84.16 + the README index row.Halal/educational framing preserved — the Kelly family studied as the math of capital allocation, not betting; nothing is wired into keel's execution path.
Lead 1 — dynamic drawdown taper
(1−d/D)·f*→ KEEP as ceiling/diagnostic (not built)D< the 20% breaker (fails at D≥0.25 and in the p-over-estimated world); a half-Kelly base is too large for any taper to rescue. Only pays off if the base is ever raised off 1% — which §58.11/§84.14 argue against. Parked, with a number.Lead 2 — Merton γ
μ/(γσ²)→ PROMOTE to diagnostic (not arisk_pctchange)Test plan
uv run pytest docs/superpowers/analysis/bankroll_sizing/ -q→ 56 passeduv run ruff check docs/superpowers/analysis/bankroll_sizing/→ cleanuv run python docs/superpowers/analysis/bankroll_sizing/explore_leads.pyregenerates the report (deterministic)🤖 Generated with Claude Code