When a famous painting becomes available for sale, it is often known which museum or collector will be the likely winner. Yet, the auctioneer actively woos representatives of other museums that have no chance of winning to attend anyway. Suppose a piece of art has recently become available

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter18: Auctions
Section: Chapter Questions
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When a famous painting becomes available for sale, it is often known which museum or collector will be the likely winner. Yet, the auctioneer actively woos representatives of other museums that have no chance of winning to attend anyway. Suppose a piece of art has recently become available for sale and will be auctioned off to the highest bidder, with the winner paying an amount equal to the second highest bid. Assume that most collectors know that Yakov places a value of $35,000 on the art piece and that he values this art piece more than any other collector. Suppose that if no one else shows up, Yakov simply bids $35,0002=$17,500 $35,000 2 = $17,500 and wins the piece of art. The expected price paid by Yakov, with no other bidders present, is. Suppose the owner of the artwork manages to recruit another bidder, Bob, to the auction. Bob is known to value the art piece at $28,000. The expected price paid by Yakov, given the presence of the second bidder Bob, is.
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