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$2,500 across 24 small confidence pools (2026-10-24)

portfolio_sim.py → portfolio_sim_results.json. Always-favorite (ordered by market probability) in every league; each league has its own rivals; payout top 3 = 50/30/20 of the pot; $104 a league; 2014-2025 seasons.

Rival field calibrated to our Yahoo pool: favorite-pick rate median 0.815 (real 0.81), 10th-90th 0.74-0.88 (real 0.72-0.89), gap to always-favorite 4.1 points of max (real 4.3). On 2025 weeks 1-12 the sim reproduces the pool's spread (sd 2.9% vs real 2.6%) and baseline-minus-best (-0.3 vs +0.4).

Scenario Mean profit Median P(down) 5th pct Cash rate / league 1st / league
12-person leagues +$10,100 +$10,900 0.3% +$5,100 97% 68%
12-person, real outcomes 2014-25 +$10,200 +$10,800 0.1% +$5,700 97% 68%
30-person leagues +$22,200 +$25,000 3.3% +$1,600 84% 45%
12-person, 10% site fee +$8,900 +$9,500 0.5% +$4,500 97% 68%
12-person, sharper field (2x skill, half the ordering noise) +$5,700 +$6,400 17% -$2,250 74% 34%
6 leagues instead of 24 +$10,100 +$10,800 0.4% +$4,500 97% 68%

Worst real season: 2016 (30-person: mean +$6,700, P(down) 21%).

Why to discount these

  • The empirical check is less rosy than the sim. Resampling the real 2025 members' weekly scores gave always-favorite P(1st of 30) = 30% over 12 weeks; the sim gives 41% on the same weeks. Treat the sim as ~25%+ optimistic.
  • 2026 so far cuts the other way: always-favorite is 7th of 33 after 6 weeks (64.2% of max vs leader 66.7%). Six weeks is noisy, but it is a live miss.
  • The field is one pool. Leagues of strangers may be sharper; the sharper row is the realistic downside, and it is still clearly positive.
  • Diversifying across leagues barely reduces risk (6 vs 24 leagues: same mean, same P(down)): your score is identical everywhere, so the risk is your season, not any one league's rivals.
  • Not modeled: weekly prizes, missed entries, collecting from strangers.