In auctions with private information acquisition costs, we completely characterize (socially) efficient and (revenue) optimal two-stage mechanisms, with the first stage being an entry right allocation mechanism and the second stage being a traditional private good provision mechanism. Both...

A principal uses security bid auctions to award an incentive contract to one among several agents, in the presence of hidden action and hidden information. Securities range from cash to equity and call options. “Steeper†securities are better surplus extractors that narrow the gap...

We study a symmetric independent private values auction model where the revenue-maximizing seller faces a cost cn of attracting n bidders to the auction. If the distribution of valuations possesses an increasing failure rate (IFR), the seller overinvests in attracting bidders compared to the...

Using a mechanism design framework, we characterize how a profit-maximizing intermediary can design matching markets when each agent is privately informed about his quality as a partner. Sufficient conditions are provided that ensure a version of positive assortative matching (what we call...

I study collusion between two bidders in a general symmetric IPV repeated auction, without communication, side transfers, or public randomization. I construct a collusive scheme, endogenous bid rotation, that generates a payoff larger than the bid rotation payoff.

In this paper we consider equilibrium behavior in a Dutch (descending price) auction when the bidders are uninformed of their valuations with probability q and can acquire information about their valuation with a positive cost during the auction. We assume that the information acquisition...

We prove that the equilibria of a large interdependent-value, uniform-price auction model where bidders have arbitrary preferences for multiple units can be approximated by a nonatomic exchange economy. We show that the uniform-price auction is approximately efficient with a large number of...

Inspired by some spectrum auctions, we consider a stylized license auction with incumbents and one entrant. Whereas the entrant values only the bundle of several units (synergy), incumbents are subject to non-increasing demand. The seller proactively encourages entry and restricts incumbent...

If bidders are uncertain whether the auctioneer sticks to the announced reserve, some bidders respond by not bidding, speculating that the auctioneer may revoke the reserve. However, the reserve inadvertently signals the auctioneer's type, which drives a unique separating and a multitude of...

This paper shows that a cartel that observes neither costs, prices, nor sales may still enforce a collusive agreement by tying each firm's continuation profit to the truncated current profits of the other firms. The mechanism applies to both price and quantity competition, and the main features...