We consider implementation of a deterministic allocation rule using transfers in quasi-linear private values environments. We show that in multidimensional single peaked type spaces, an allocation rule is implementable if and only if it satisfies a familiar and simple condition called 2-cycle...

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...

We study security-bid auctions in which bidders compete for an asset by bidding with securities. That is, they offer payments that are contingent on the realized value of the asset being sold. Standard auction mechanisms (such as first-price and second-price auctions) are not well defined unless...

We examine an environment where goods and privately informed buyers arrive stochastically to a market. A seller in this setting faces a sequential allocation problem with a changing population. We characterize the set of incentive compatible allocation rules and provide a generalized 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 study endogenous-participation auctions where bidders only know the number of potential participants. After seeing their values for the object, potential participants decide whether or not to enter the auction. They may not want to enter the auction since they have to pay participation costs....

This paper studies the allocation and rent distribution in multi-unit, combinatorial-bid auctions under complete information. We focus on the natural multi-unit analogue of the first-price auction, where buyers bid total payments, pay their bids, and where the seller allocates goods to maximize...