Simulate an auction with given bidder valuations. Supports first-price sealed-bid (highest bidder wins, pays their bid), second-price/Vickrey (highest bidder wins, pays second-highest bid), and all-pay (all bidders pay their bid, highest wins). Returns winner, price paid, revenue, and all bids. Use for auction design, comparing formats, and predicting outcomes.
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Type of auction mechanism
first_price, second_price, all_pay "second_price"
Number of bidders participating
x >= 23
Private valuations for each bidder (must have n_bidders elements)
x >= 0[100, 80, 90]