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Science of Fantasy FootballIn a common-value setting, every participant is estimating the same underlying quantity—the player’s true expected fantasy points this season. Estimates differ because of private information, differing risk preferences, narrative bias, and noise. The manager who selects the player does so by ranking him higher (or taking him earlier) than every other manager. That selection effect systematically biases the winning valuation upward. The average of all estimates may be unbiased; the winning estimate is not. This is the winner’s curse.
Snake drafts are sequential implicit auctions. ADP is the market’s revealed average estimate. A reach of even one or two spots is an overbid relative to the room. Because the true value is common, the manager who reaches is, on average, the one whose private signal was most optimistic—and therefore most wrong.
Empirical patterns from multi-year championship-roster and league-winner studies show a clear structure:
Rounds 1–4: Lower relative dispersion. Elite players have more stable historical data and clearer roles. Projection R² is higher and ADP standard deviations are tighter. Busts occur, but the gap between the average estimate and the most optimistic one is smaller.
Rounds 5–10 (roughly ADP 50–120 in a 12-team league, scaled for 20-round boards): Peak curse territory. Role ambiguity, committee situations, scheme changes, sophomore leaps, and injury recoveries create maximum estimate dispersion.
Championship data repeatedly shows a near-dead zone in the ADP 61–100 band—almost no high-share championship contributors emerge from it in recent seasons. Managers who “win” these players by taking them highest are systematically the most optimistic and, on average, the most incorrect about median outcomes.
Rounds 12–20: Extreme raw uncertainty (high coefficient of variation), but low absolute cost. Most players already carry near-replacement expected value. Being the most optimistic simply means selecting a higher-variance lottery ticket.
True league-winners do appear here, yet the opportunity cost of the pick itself is small.
Player- and team-level residual uncertainty amplifies the effect. High residual variance after conditioning on Vegas implied totals, pace, and ADP is a reliable flag.
Think of each manager’s estimate as
Vi=V+ϵiV_i = V + \epsilon_i
V_i = V + \epsilon_i
where ( V ) is true expected value and
ϵi\epsilon_i\epsilon_i
is mean-zero error. The winner is the manager with the largest
ϵi\epsilon_i\epsilon_i
. Conditional on winning,
E[ϵi∣win]>0E[\epsilon_i | \text{win}] > 0E[\epsilon_i | \text{win}] > 0
. The size of that positive bias grows with the variance of the
ϵ\epsilon\epsilon
distribution and the number of competing managers. In the middle rounds that variance is largest.
Condition explicitly on winning. Before locking a pick, ask: “If I am the only manager willing to take this player here, what does that information tell me about my estimate?” Shade the valuation downward by an amount proportional to estimated dispersion (larger shade in rounds 5–10).
Treat ADP as a Bayesian prior. Form your ranking, then update it with the market’s average. Only deviate when you possess genuine private information (scheme fit, recovery timeline, target-share trajectory the room is missing). Reaches without private edge are pure curse exposure.
Enforce tier discipline. Prefer the last player in a coherent tier over the first player in the next, more uncertain tier. Letting a positional run occur often returns higher-value assets later and avoids the last-in-tier overpay.
Separate floor from ceiling by region. Early: prioritize high-floor difference-makers. Middle: demand a realistic path to a tier jump or avoid. Late: maximize ceiling and private information; the absolute cost of optimism is low.
Use external signals to shrink residual variance. Condition projections on Vegas team totals and player props. Where ADP and Vegas diverge, or where last-year performance clusters show high within-group residual variance, increase the shade.
The managers who consistently leave snake drafts with fewer overpays are those who treat every mid-round selection as if they already know they are the highest estimate in the room.
That single mental adjustment converts the curse from a hidden tax into a controllable bias.