Suppose a seller wants to sell k similar or identical objects and there are n k potential buyers. Suppose that each buyer wants only one object. In this case, we suggest the use of a simultaneous auction that would work as follows. Players are asked to submit sealed bids for one object. The...

The revenue equivalence theorem is an widely known result in Auction Theory. This note generalize that theorem for the case of Sequential Auctions. Our results show that under a class of Sequential Auction, if an symmetric and increasing equilibrium bidding strategy exists, then the revenue...

Many empirical studies of auctions show that prices of identical goods sold sequentially follow a declining path. Declining prices have been viewed as an anomaly, because the theoretical models of auctions predict that the price sequence should either be a martingale (with independent signals...

We analyze competitive pressures in a sequence of auctions with a growing number of bidders, in a model that includes private and common valuations as special cases. We show that the key determinant of bidders' surplus (and implicitly auction revenue) is how the goods are distributed. In any...

This paper analyzes equilibria in sequential take-it-or-leave-it sales and sequential auctions when demand is stochastic. It is shown that equilibria in the former mechanism trade-off allocative efficiency and competing buyers' opportunities to acquire an item to be sold, permitting prices and...

We consider parametric examples of two-bidder private value auctions in which each bidder observes her own private valuation as well as noisy signals about her opponentÌs private valuation. In such multidimensional private value auction environments, we show that the revenue equivalence between...