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jkaufman comments on Decision Auctions aka "How to fairly assign chores, or decide who gets the last cookie" - Less Wrong
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Looks more like a normal first-price auction to me. "B bids $100, D bids $15, so D 'wins' the bid, and B pays them $15 to go get the kids from their grandma's." The low bidder wins, and receives the amount they bid. In a Vickrey/second-price auction B would pay D $100.