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Mechanism Design for Auction Systems

#game-theory #algorithms #economics #security

Design an auction algorithm that maximizes revenue while preventing bid manipulation and collusion.

Design a sealed-bid auction mechanism for selling scarce digital bandwidth licenses. Your mechanism must satisfy the properties of incentive compatibility (truth-telling is the dominant strategy) and individual rationality (participants never expect negative utility). Explain how your algorithm deters sniper bidding and collusion rings. Provide a step-by-step mathematical proof or logical walkthrough showing why a bidder cannot benefit by submitting a value lower than their true valuation.