Field experiments on the effects of reserve prices in auctions: more Magic on the Internet

I present experimental evidence on the effects of minimum bids in first‐price, sealed‐bid auctions. The auction experiments manipulated the minimum bids in a preexisting market on the Internet for collectible trading cards from the game Magic: the Gathering. I examine a number of outcomes, including the number of participating bidders, the probability of sale, the levels of individual bids, and the auctioneer's revenues. The benchmark theoretical model is one with symmetric, risk‐neutral bidders with independent private values. The results verify a number of the predictions concerning equilibrium bidding. Many bidders behave strategically, anticipating the effects of the reserve price on others' bids.     

The Winner's Curse and Bidder Competition in Acquisitions: Evidence from Failed Bank Auctions

This study examines the effect of bidder competition in acquisitions. We use predictions from auction theory to test whether acquirers of failed banks overpay (the “winner's curse”) when bidding in FDIC sealed-bid purchase and assumption (P&A) transactions (auctions). The empirical results indicate that winning bids tend to increase as the number of competitors increases, as predicted by theory. We also find that bid levels of all bidders increase with increased competition, which is consistent with bidders' failing to adjust for the winner's curse in a common value auction setting. However, additional tests using winning bids only are consistent with both a common value and a private values model, so this result should be interpreted with caution.     

Subcontracting and competitive bidding on incomplete procurement contracts

This article examines the impact of incomplete contracts on subcontracting and the design of procurement auctions. I estimate the effect of ex post contract revisions on unit costs for both subcontracted and in‐house performed work items on bridge projects procured by the California Department of Transportation. I model a scoring auction showing how ex post revisions skew bidding decisions and estimate unit costs from bid data using the method of sieve estimation. The results highlight the cost implications of incomplete contracting frictions, subcontracting decisions, and bidding distortions. In conclusion, I propose alternative auction mechanisms that could improve outcomes.     

Strategic bidding in multi‐unit auctions with capacity constrained bidders: the New York capacity market

This article employs a simple model to describe bidding behavior in multi‐unit uniform price procurement auctions when firms are capacity constrained. Using data from the New York City procurement auctions for power generating capacity, I find that firms use simple bidding strategies to coordinate on an equilibrium that extracts high rents for all bidders. I show theoretically and empirically that the largest bidder submits the auction clearing bid. All other bidders submit inframarginal bids that are low enough to not be profitably undercut. Inframarginal bidders decrease their bids as the pivotal firm's capacities and its profits of undercutting increase.     

Bounds on revenue distributions in counterfactual auctions with reserve prices

Measuring auction revenues under counterfactual reserve prices or formats requires knowledge of distributions of bidders' values and private signals. This poses a challenge when bids are observed from first‐price, common‐value auctions. I bound counterfactual revenue distributions without imposing parametric restrictions on the model structure. Using data from U.S. municipal bond auctions, I find first‐price and second‐price auctions under optimal reserve prices lead to little improvement in revenues over existing first‐price formats. The number of bidders has a more significant impact on revenues in optimal auctions. I also find invoking an incorrect assumption of private values in counterfactual analyses results in small errors in predicting revenues from optimal second‐price auctions.     

Best foot forward or best for last in a sequential auction?

Should a seller with private information sell the best or worst goods first? Considering the sequential auction of two stochastically equivalent goods, we find that the seller has an incentive to impress buyers by selling the better good first because the seller's sequencing strategy endogenously generates correlation in the values of the goods across periods. When this impression effect is strong enough, selling the better good first is the unique pure‐strategy equilibrium. By credibly revealing to all buyers the seller's ranking of the goods, an equilibrium strategy of sequencing the goods reduces buyer information rents and increases expected revenues in accordance with the linkage principle.     

The role of lockups in takeover contests

We examine breakup fees and stock lockups as devices for prospective target firms to encourage bidder participation in takeover contests. Unless bidding costs for the first bidder are too high, breakup fees provide for the socially desirable degree of competition and ensure the efficient allocation of the target to the highest‐valued buyer in a takeover auction. In contrast, stock lockups permit the target firm to subsidize entry of a new bidder at the expense of an incumbent bidder. Stock lockups induce too much competition when offered to a second bidder and too little competition when offered to a first bidder. Despite their socially wasteful properties, target management would favor stock lockups, as they induce takeover competition at least cost to the target.     

Buy or wait,that is the option: the buyer's option in sequential laboratory auctions

We report results from an experiment on two‐unit sequential auctions with and without a buyer's option (which allows the winner of the first auction to buy the second unit). The four main auction institutions are studied. Observed bidding behavior is close to Nash equilibrium bidding in the auctions for the second unit, but not in the auctions for the first unit. Despite these deviations, the buyer's option is correctly used in most cases. The revenue ranking of the four auctions is the same as in single‐unit experiments. Successive prices are declining when the buyer's option is available.     

The Impact of Capacity Costs on Bidding Strategies in Procurement Auctions

This paper analyzes the impact of capacity costs on bidding strategies of firms participating in procurement auctions. More efficient firms will invest in advance due to their high probability of winning the auction while less efficient bidders prefer to wait with their investments until the outcome of the auction is known. However, in equilibrium both types of firms include a coverage for their investment costs in their bids and therefore adopt a full cost pricing policy. This revised version was published online in November 2006 with corrections to the Cover Date.     

A Parimutuel Market Microstructure for Contingent Claims

Parimutuel principles are widely used as an alternative to fixed odds gambling in which a bookmaker acts as a dealer by quoting fixed rates of return on specified wagers. A parimutuel game is conducted as a call auction in which odds are allowed to fluctuate during the betting period until the betting period is closed or the auction ‘called’. The prices or odds of wagers are set based upon the relative amounts wagered on each risky outcome. In financial microstructure terms, trading under parimutuel principles is characterised by (1) call auction, non‐continuous trading; (2) riskless funding of claim payouts using the amounts paid for all of the claims during the auction; (3) special equilibrium pricing conditions requiring the relative prices of contingent claims equal the relative aggregate amounts wagered on such claims; (4) endogenous determination of unique state prices; and (5) higher efficiency. Recently, a number of large investment banks have adopted a parimutuel mechanism for offering contingent claims on various economic indices, such as the US Nonfarm payroll report and Eurozone Harmonised inflation. Our paper shows how the market microstructure incorporating parimutuel principles for contingent claims which allows for notional transactions, limit orders, and bundling of claims across states is constructed. We prove the existence of a unique price equilibrium for such a market and suggest an algorithm for computing the equilibrium. We also suggest that for a broad class of contingent claims, that the parimutuel microstructure recently deployed offers many advantages over the dominant dealer and exchange continuous time mechanisms.     

Endogenous asymmetry in a dynamic procurement auction

We show how to numerically solve for a Markov‐perfect equilibrium of a dynamic auction game where a procurer repeatedly purchases construction services from capacity‐constrained firms. We find that the procurer is best off scheduling frequent auctions for small project sizes. Otherwise, firm capacity utilization rates become larger and more asymmetric, which softens competition and increases procurement costs. We also find that forward‐looking bidding dampens the competition‐softening effects of asymmetry: farsighted firms compete more intensely than myopic ones. This can undermine the goal of a bid‐preference‐style affirmative action program: more farsighted firms respond less to the asymmetry induced via bid preferences.     

Simultaneous Pooled Auctions

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 individual with the highest bid chooses an object first; the individual with the second-highest bid chooses the next object; and this process continues until the individual with the kth highest bid receives the last object. Each individual pays the equivalent to his or her bid. When objects are identical, we show that the proposed auction generates the same revenue as a first-price sealed-bid sequential auction. When objects are perfectly correlated, there is no known solution for sequential auctions, whereas we can characterize bidding strategies in the proposed auction. Moreover, the proposed auction is optimal (given an appropriately chosen reserve price), and it may be easier and cheaper to run than a sequential auction.     

Learning by bidding

We analyze a dynamic second‐price auction with an informed bidder and an uninformed bidder who, upon seeing a posted price, learns whether his valuation is above that price. In the essentially unique equilibrium, an informed bidder bids in the first period if her valuation is below some cutoff and bids only in the last period otherwise. An uninformed bidder bids in every period to optimally change the price unless the price is above his valuation or he is the high bidder. This model also provides a rationale behind the use of a secret reserve price in private‐value settings.     

Pre-auction short positions and impacts on primary dealers’ bidding behavior in US Treasury auctions

We model the uniform-price US Treasury security auction as a static symmetric game with incomplete information in which each player is a primary dealer who submits a demand schedule given two independent sources of private information: her/his pre-auction short position of the auctioned security and her/his valuation of this security. Under the assumptions of constant marginal value and additive separability of the demand schedule, we obtain closed-form solutions for the dealer’s optimal demand schedule, and we find that her/his pre-auction short position impacts her/his bidding behavior in three ways. First, the primary dealer’s demand for the auctioned security increases with her/his pre-auction short position. Second, the primary dealer’s differential bid shading decreases with her/his pre-auction short position. Third, primary dealers with higher pre-auction short positions assign lower values to the auctioned security. Based on our findings, we propose policy recommendations that would allow the US Treasury to increase taxpayers’ revenue.     

A welfare analysis of spectrum allocation policies

Economic analysis of spectrum policy focuses on government revenues derived via competitive bidding for licenses. Auctions generating high bids are identified as “successful” and those with lower receipts as “fiascoes.” Yet spectrum policies that create rents impose social costs. Most obviously, rules favoring monopoly predictably increase license values but reduce welfare. This article attempts to shift analytical focus to efficiency in output markets. In performance metrics derived by comparing 28 mobile telephone markets, countries allocating greater bandwidth to licensed operators and achieving more competitive market structures are estimated to realize efficiencies that generally dominate those associated with license sales. Policies intended to increase auction receipts (e.g., reserve prices and subsidies for weak bidders) should be evaluated in this light.     

Strategic Sequential Bidding for Government Land Auction Sales – Evidence from Singapore

This paper studies the extent to which equilibrium land auction prices are pushed up sequentially due to strategic bidding behaviors in government land auction sales. Using a unique dataset that covers the universe of tendering prices submitted by all developers for all residential land auction sales in Singapore, we find that a tenderer’s bids are significantly higher where there was a previous land parcel sold within two years and located within four kilometers. The identified price margin decreases with time and geographic distance. Tracking sequential bids submitted by the same developer over time, we find that the incumbent winner of a previous auction is more likely to participate in subsequent nearby land sales as compared to the second-highest bidder of the same auction. However, it does not necessarily win the subsequent sites. We argue that the incumbent deliberately bids up the subsequent land prices to gain pricing advantages to their own parcels.     

Auctions with selective entry and risk averse bidders: theory and evidence

We study auctions with selective entry and risk averse bidders. Our model accounts for risk averse bidders' endogenous participation decision and thus encompasses the existing entry models. We establish entry and bidding equilibrium in first‐price auction and ascending auction mechanisms and show that bidders' entry behavior differs between these two mechanisms with different forms of risk aversion. Our approach provides testable implications of risk aversion in terms of entry behavior. We analyze a timber auction data set and propose a simple test for the form of bidders' risk aversion based on our model implications.     

Auctions with heterogeneous entry costs

If bidders have independent private values and homogeneous entry costs, a first‐ or second‐price auction with a reserve price equal to the seller’s value maximizes social surplus and seller revenue. We show that if entry costs are heterogeneous and private information, then the revenue‐maximizing reserve price is above the seller’s value, a positive admission fee (and a reserve price equal to the seller’s value) generates more revenue, and an entry cap combined with an admission fee generates even more revenue. Social surplus and seller revenue may either increase or decrease in the number of bidders, but they coincide asymptotically.     

An empirical study of auction revenue rankings: the case of municipal bonds

Using a novel dataset of 386 first‐price municipal bond auctions held in California, I perform counterfactual revenue comparisons, based on the theoretical result of Milgrom and Weber (1982). I show that the revenue in the second‐price auction is nonparametrically identified, and the counterfactual revenue in the English auction can be bounded in an informative way. These results form a basis for nonparametric estimation of counterfactual revenue differences. I find that the revenue gain from using the English auction would be in the range of 11%—19% of the gross underwriting spread, and that most of it would already be captured by using the second‐price auction. The recent explosive growth of Internet English auctions, administered by Grant Street Group, provides external support to the claim that auction design matters in this market.     

Theoretical and experimental investigations of the performance of keyword auction mechanisms

Two keyword auction mechanisms, the Generalized Second‐Price auction (GSP) and the Vickrey‐Clarke‐Groves mechanism (VCG), were compared theoretically and experimentally. The former is widely used in practice; the latter is not, but it has a dominant strategy equilibrium where all participants bid their true values. In the theoretical investigation, by applying the “locally envy‐free Nash equilibrium” to the VCG, we found that the allocations are efficient and that upper and lower bounds of the auctioneer's revenue coincide in the two mechanisms. A laboratory experiment, in which the revenues and efficiencies were similar in both mechanisms, supported this result.