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Problem 2.2 Suppose a subset S of the bidders in a secondprice singleiteni auction decide to eollude, meaning that they submit their bids in a

Problem 2.2 Suppose a subset S of the bidders in a secondprice singleiteni auction decide to eollude, meaning that they submit their bids in a coordinated way to maximize the sum of their utilities. Assume that bidders outside of 8 bid truthfully. Prove necessary and sufcient conditions on the set S such that the bidders of S can increase their combined utility Via nontruthful bidding

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