William S. Vickrey

Entry for William Vickrey, prepared for the Dictionary of Scientific BiographyVickrey's Contributions, Vickrey Auction, Public Economics, Asymmetric Information

Does a Seller Really Want Another Bidder?

Several papers compare auctioning heterogeneous assets sequentially with sequentially selling the right to choose among assets not yet taken. Typically motivated by auctions of condos for owner occupation, these papers have assumed that each winning bidder exits, so each successive auction has less competition. In many heterogeneous-asset-sale situations, a winning bidder may still be interested in acquiring further assets. We build a simple model of persistent competition, in which the distribution of equilibrium revenue from separate sales is shown to be a mean-preserving spread of the distribution of revenue from selling rights to choose. Persistent competition reveals that a high bidder does not always select his most preferred asset, and that one asset being slightly more likely to be a favored asset discontinuously affects equilibrium bidding.auction theory; rights-to-choose auctions; revenue comparisons; persistent competition; private information

Rational Participation Revolutionizes Auction Theory

Potential bidders respond to a seller's choice of auction mechanism for a common-value or affiliated-values asset by endogenous decisions whether to incur a participation cost (and observe a private signal), or forego competing. Privately informed participants decide whether to incur a bid-preparation cost and pay an entry fee, or cease competing. Auction rules and information flows are quite general; participation decisions may be simultaneous or sequential. The resulting revenue identity for any auction mechanism implies that optimal auctions are allocatively efficient; a nontrivial reserve price is revenue-inferior for any common-value auction. Optimal auctions are otherwise contentless: any auction that sells without reserve becomes optimal by adjusting any one of the continuous, spanning parameters, e.g., the entry fee. Seller.s surplus-extracting tools are now substitutes, not complements. Many econometric studies of auction markets are seen to be flawed in their identification of the number of bidders.Optimal Auctions, Endegenous Bidder Participation, Affiliated-Values, Common-Value Auctions, Surplus-Extracting Devices

Endogenous Competition Alters the Structure of Optimal Auctions

Potential bidders respond to a sellerfs choice of auction mechanism for a common-value or affiliated-values asset by endogenous decisions whether to incur an information-acquisition cost (and observe a private estimate), or forgo competing. Privately informed participants decide whether to incur a bid-preparation cost and pay an entry fee, or cease competing. Auction rules and information flows are quite general; participation decisions may be simultaneous or sequential. The resulting revenue identity for any auction mechanism implies that optimal auctions are allocatively efficient; a nontrivial reserve price is revenue-inferior. Optimal auctions are otherwise contentless: any auction that sells without reserve becomes optimal by adjusting any one of the continuous, spanning parameters, e.g., the entry fee. Sellerfs surplus-extracting tools are now substitutes, not complements. Many econometric studies of auction markets are seen to be flawed in their identification of the number of bidders.

Rational Participation Revolutionizes Auction Theory

Potential bidders respond to a seller's choice of auction mechanism for a common-value or affiliated-values asset by endogenous decisions whether to incur a participation cost (and observe a private signal), or forego competing. Privately informed participants decide whether to incur a bid-preparation cost and pay an entry fee, or cease competing. Auction rules and information flows are quite general; participation decisions may be simultaneous or sequential. The resulting revenue identity for any auction mechanism implies that optimal auctions are allocatively efficient; a nontrivial reserve price is revenue-inferior for any common-value auction. Characterization of optimal auctions is otherwise contentless, in that any auction that sells without reserve is within the setting of one continuous parameter of an optimal auction; seller's surplus-extracting tools are now substitutes, not complements. Revenue comparisons from the exogenous-bidders literature are upheld in a half-space of parameters, overturned in a half-space. Many econometric studies of auction markets are seen to be flawed in their identifcation of the number of bidders.optimal auctions, endegenous bidder participation, affiliated-values, common-value auctions, surplus-extracting devices

Ex-Post Full Surplus Extraction, Straightforwardly

Consider an estimate of the common value of an auctioned asset that is symmetric in the bidders' types. Such an estimate can be represented solely in terms of the order statistics of those types. This representation forms the basis for a pricing rule yielding truthful bidding as an equilibrium, whether bidders'types are affiliated or independent. We highlight the link between the estimator and full surplus extraction, providing a necessary and suffient condition for ex-post full surplus extraction, including the possibility of independent types. The results offer sharp insights into the strengths and limits of simple auctions by identifying the source of informational rents in such environments.Auctions, Full Surplus Extraction, Order Statistic Estimates

Winner's Curse Corrections Magnify Adverse Selection

The adverse-selection literature has only considered the case in which competing sellers' costs of supply are independent and privately known by the individual sellers. In contrast, the auction literature has ignored adverse selection by implicitly assuming that a bid-taker is indifferent between suppliers at a given price. We show that competition in auctions with common-value elements serves to magnify the impact of adverse selection, as a bidder supplying a higher-cost product rationally makes a heightened winner's curse correction in a procurement auction. Hence lower-cost suppliers are disproportionately likely to win the auction, potentially creating a more serious quality problem for the procurer than mainstream adverse-selection models suggest.winner's curse; adverse selection; common-value auctions; procurement; product quality

Rational Participation Revolutionizes Auction Theory

Potential bidders respond to a seller's choice of auction mechanism for a common-value or affiliated-values asset by endogenous decisions whether to incur a participation cost (and observe a private signal), or forego competing. Privately informed participants decide whether to incur a bid-preparation cost and pay an entry fee, or cease competing. Auction rules and information flows are quite general; participation decisions may be simultaneous or sequential. The resulting revenue identity for any auction mechanism implies that optimal auctions are allocatively efficient; a nontrivial reserve price is revenue-inferior for any common-value auction. Optimal auctions are otherwise contentless: any auction that sells without reserve becomes optimal by adjusting any one of the continuous, spanning parameters, e.g., the entry fee. Seller's surplus-extracting tools are now substitutes, not complements. Many econometric studies of auction markets are seen to be flawed in their identification of the number of bidders

William S. Vickrey

Entry for William Vickrey, prepared for the Dictionary of Scientific Biography