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Auction setup

Valuations & strategies

Playback

Selected bidder (click a bar)

Bidder—
Strategy—
True value—
Sealed bid—
Wins so far—

Live auction

Round0
Winning strategy—
Winning bid—
Price paid (2nd bid)—

Avg utility per bidder / round

Truthful—
Shade-up—
Shade-down—
Each round every bidder draws a fresh private valuation from the same distribution and submits a sealed bid. The highest bid wins but pays the second-highest bid — the Vickrey rule. Because the valuation distribution is identical for every strategy group, the law of large numbers means the average utility per bidder converges to the true causal effect of the bidding strategy itself as rounds accumulate.