In an auction, bid shading describes the practice of a bidder placing a bid that is below what they believe a good is worth. "Auctioneer" redirects here For the DC Comics supervillain see Auctioneer (comics.
Bid shading is used for one of two purposes. In a common value auction with incomplete information, bid shading is used to compensate for the winner's curse. A common value auction is a term in Economics used to describe an environment in which information about the value of the object for sale is dispersed among bidders Complete information is a term used in Economics and Game theory to describe an economic situation or game in which knowledge about other market participants or players The winner's curse is a phenomenon akin to a Pyrrhic victory that occurs in common value Auctions with Incomplete information. In such auctions, the good is worth the same amount to all bidders, but bidders don't know the value of the good and must independently estimate it. Since all bidders value the good equally, the winner will generally be the bidder whose estimate of the value is largest. But if we assume that in general bidders estimate the value accurately, then the highest bidder has overestimated the good's value and will end up paying more than it is worth. In other words, winning the auction carries bad news about a bidder's value estimate. A savvy bidder will anticipate this, and reduce their bid accordingly.
Bid shading is also used in first-price auctions, where the winning bidder pays the amount of his bid. If a participant bids an amount equal to their value for the good, they would gain nothing by winning the auction, since they are indifferent between the money and the good. Bidders will optimize their expected value by accepting a lower chance of winning in return for a higher payoff if they win. In Mathematics, the term optimization, or mathematical programming, refers to the study of problems in which one seeks to minimize or maximize a real function
In a first-price common value auction, a savvy bidder should shade for both of the above purposes.