The Loser's Curse and Information Aggregation in Common Value Auctions
研究共同价值拍卖中,当多个竞拍者竞拍多个相同物品时,价格能否收敛到真实价值,发现只有当物品数和未中标人数都趋于无穷时,价格才收敛。
We consider an auction in which k identical objects of unknown value are auctioned off to n bidders. The k highest bidders get an object and pay the k + 1st bid. Bidders receive a signal that provides information about the value of the object. We characterize the unique symmetric equilibrium of this auction. We then consider a sequence of auctions A r with n r bidders and k r objects. We show that price converges in probability to the true value of the object if and only if both k r → ∞ and n r - k r → ∞, i.e., both the number of objects and the number of bidders who do not receive an object go to infinity.