2746脑筋急转弯困难derivationlong

Truthful Bidding Under a Capacity Penalty

题目

In a second-price auction for one extra inventory slot, paying above your true value $v$ can backfire because if you win while your realized usage is low, you incur a deterministic penalty $k$ . If the penalty is independent of the auction price and only applies when you win, what is the effective value that should replace $v$ in the usual Vickrey truth-telling argument?

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