Commitment in sequential auctioning: advance listings and threshold prices

This paper models sequential auctioning of two perfect substitutes by a strategic seller, who learns about demand from the first-auction price. The seller holds the second auction only when the remaining demand is strong enough to cover her opportunity cost. Bidding in anticipation of such a contingent future auction is characterized, including a sufficient condition for existence of an invertible (increasing symmetric pure-strategy) bidding equilibrium that facilitates the seller’s learning. A unique invertible bidding equilibrium exists for the Dutch auction format, but only when the second auction is sufficiently discounted by the bidders. In the equilibrium, high-valuation bidders shade their bids down as if the second auction were guaranteed. To counter such strategic bidding, the seller would value ex-ante commitment to hold the second auction less often. Three forms of such commitment are analyzed: commitment to list future auctions in advance, commitment to not hold the second auction unless the first price exceeds a publicly announced threshold, and commitment to a reserve-price in the second auction. I would like to thank Georgios Katsenos, Thomas Jeitschko, Miguel Villas-Boas, George Deltas, and an anonymous referee for thorough and insightful feedback.     

Indicative bidding: An experimental analysis

Indicative bidding is a practice commonly used in sales of complex and very expensive assets. Theoretical analysis shows that efficient entry is not guaranteed under indicative bidding, since there is no equilibrium in which more qualified bidders are more likely to be selected for the final sale. Furthermore, there exist alternative bid procedures that, in theory at least, guarantee 100% efficiency and higher revenue for the seller. We employ experiments to compare actual performance between indicative bidding and one of these alternative procedures. The data shows that indicative bidding performs as well as the alternative procedure in terms of entry efficiency, while having other characteristics that favor it over the alternative procedure. Our results provide an explanation for the widespread use of indicative bidding despite the potential problem identified in the equilibrium analysis.     

A two-dimensional problem of revenue maximization

We consider the problem of finding the mechanism that maximizes the revenue of a seller of multiple objects. This problem turns out to be significantly more complex than the case where there is only a single object (which was solved by Myerson, 1981). The analysis is difficult even in the simplest case studied here, where there are two exclusive objects and a single buyer, with valuations uniformly distributed on triangular domains. We show that the optimal mechanisms are piecewise linear with either 2 or 3 pieces, and obtain explicit formulas for most cases of interest.     

Position auctions

I analyze the equilibria of a game based on the ad auction used by Google and Yahoo. This auction is closely related to the assignment game studied by Shapley–Shubik, Demange–Gale–Sotomayer and Roth–Sotomayer. However, due to the special structure of preferences, the equilibria of the ad auction can be calculated explicitly and some known results can be sharpened. I provide some empirical evidence that the Nash equilibria of the position auction describe the basic properties of the prices observed in Google's ad auction reasonably accurately.     

Optimal mechanisms for siting noxious facilities

We study Bayesian mechanism design in the context of the siting of noxious facilities. Under incomplete information, we characterize optimal mechanisms facilitating the siting and cost sharing of the facility. These mechanisms are allocatively and Pareto efficient. However, it appears that transfers occur when the good is not provided. This result is due to the weakening of the incentive notion to Bayesian–Nash equilibrium and to the balanced budget condition. This phenomenon disappears if the setting is perfectly symmetric.      

Revealing information in auctions: the allocation effect

When there are two bidders, releasing independent information in an English auction with private values makes the seller worse off. However, this is no longer true with more bidders: when there is enough competition, revelation benefits the auctioneer. In three examples the dividing case is shown to be three bidders. This allocation effect applies to other standard auctions and parallels the bundling decision in a multi-unit auction. I would like to thank Jeremy Bulow, Willie Fuchs, Paul Klemperer, Rob McMillan, Phil Reny, Jeff Zwiebel and especially Andy Skrzypacz. I also grateful to two referees and an Associate Editor for a number of helpful comments.     

Your Call: eBay and Demand for the iPhone 4☆

The iPhone 4 was introduced into the UK market on 24^th June 2010 to significant consumer interest. Demand revealed itself exceeding supply through conventional channels, since there was very extensive activity in terms of bidding on eBay auctions for the product. We monitored all UK eBay transactions on the iPhone 4 for six weeks from introduction, with total transactions amounting to around £1.5m. We analyse determinants of winning bids in terms of characteristics of the phone, the seller, and the buyer. Our most notable and novel finding relative to previous studies is a very significant premium over list price being paid in almost all cases, with positive uplift factors including whether the phone was unlocked and whether it could be sold overseas. Demand fell over time, as evidenced by lower achieved prices, but the fall in price was relatively modest. A significant premium of 32GB over 16GB versions is revealed.     

SMEs and public procurement policy

In this paper, we characterize an optimal procurement policy as a mechanism design problem when an allotment of the contract is available, i.e., when a government faces both SMEs and large firms for carrying out a heterogeneously divisible project. Our model allows us to analyze all procurement policies (set-asides, favoritism, non-discriminatory rules), taking into account both efficiency and distributive arguments and derive a normative framework. We show that set-asides are not generally optimal, whatever the industrial preferences of the government are, while the optimal preferential treatments of firms implies complex non-linear rules. We prove that the optimal policy can be implemented using a modified Vickrey-type auction. We also consider that the firms can reduce their cost by a non observable effort, and exhibit the specific impact of cost reduction incentives on the optimal policies.Received: 24 September 2001, JEL Classification: D44Pierre-HenriMorand : I am grateful to the anonymous referees for comments. The usualdisclaimer applies.