“Upping the ante”: how to design efficient auctions with entry?

Of primary importance in auction design is the set of strategies available to the seller at the auction stage. We first formalize hold‐up regarding entry costs that preys on second‐price auctions when the seller may engage in a costly shill‐bidding activity. We derive the optimal reserve and show how shill bidding can make posted prices outperforming auctions. Second, we advocate for a new regulation where shills would be banned but with the possibility of canceling sales ex post, which offers some valuable flexibility: the English auction with jump bids implements, then, the first best in general environments.     

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.     

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.     

Bidding into the Red: A Model of Post-Auction Bankruptcy

This paper investigates auctions where bidders have limited liability. First, we analyze bidding behavior under different auction formats, showing that the second‐price auction induces higher prices, higher bankruptcy rates, and lower utilities than the first‐price auction. Second, we show that the cost of bankruptcy critically affects the seller's preference over the choice of auction. If bankruptcy is very costly, the seller prefers the first‐price auction over the second‐price auction. Alternatively, if the bankrupt assets are resold among the losers of the initial auction, the seller prefers the second‐price auction.     

Buy‐out prices in auctions: seller competition and multi‐unit demands

Online auction sites often enable sellers to add a buy‐out price. In one‐shot auctions, this has been motivated by appeal to impatience or risk aversion. We offer additional justification in a dynamic model, by showing that an early seller has an incentive to use a buy‐out price, if a similar product is offered later by another seller, and bidders desire multiple objects. Revenue in the first auction increases, but revenue in the second auction decreases, as does the sum of revenues. The buy‐out price causes the auction sequence to become inefficient, because the first item may be awarded to a bidder who should have received none.     

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.     

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.     

Tacit collusion and capacity withholding in repeated uniform price auctions

This article analyzes tacit collusion in infinitely repeated multiunit uniform price auctions in a symmetric oligopoly with capacity‐constrained firms. Under two popular definitions of the uniform price, when each firm sets a price‐quantity pair, perfect collusion with equal sharing of profit is easier to sustain in the uniform price auction than in the corresponding discriminatory auction. Moreover, capacity withholding may be necessary to sustain this outcome. Even when firms may set bids that are arbitrary finite step functions of price‐quantity pairs, in repeated uniform price auctions maximal collusion is attained with simple price‐quantity strategies exhibiting capacity withholding.     

RULE CHANGES AND UNCERTAINTY IN DISCRIMINATORY AND UNIFORM PRICE AUCTIONS

The auction literature indicates that uncertainty about the value of auctioned goods increases underpricing in discriminatory price auctions. Such uncertainty has a smaller effect on uniform price auctions because the pricing rule aggregates bidders' information. We find that uncertainty resulting from inexperience with an auction mechanism has similar effects. Using initial public offering (IPO) data from Japan and Israel, we find that average underpricing increases temporarily in Japan's discriminatory price auctions after changes in the auction rules, which suggests that bidders reduce their bids in response to uncertainty. Underpricing in Israel's uniform price auctions is not affected by rule changes.     

China's land market auctions: evidence of corruption?

In China, urban land is allocated by leasehold sales by local officials. Attempting to end widespread corruption, the government now requires sales to be conducted publicly, by either English or “two‐stage” auctions. However, corruption persists through the choice of auction format and preauction side deals between favored bidders and local officials. Two‐stage auctions have a first stage where favored developers signal that auctions are “taken,” deterring entry of other bidders. Empirics show that both sales prices and competition are significantly less for two‐stage than English auctions. Selection on unobserved property characteristics is positive: officials divert hotter properties to two‐stage auctions.     

Auction Price Formation with Costly Occupants: Evidence Using Data from the Osaka District Court

Foreclosure properties sold at Japanese judicial auctions are delivered to buyers with an unclear title when occupants exist, because the foreclosure laws protect occupants from compulsory execution of auctions. The existence of occupants theoretically affects the auction price through two channels. First, it affects the reserve price, and this changes in auction price. Second, the number of bidders changes in response to changes in the reserve price that is controlled by occupants, and this changes the auction price. Using data from the Osaka District Court, we empirically find that the existence of occupants in properties reduces the auction price through two channels.     

When do auctions ensure the welfare‐maximizing allocation of scarce inputs?

We determine when an unfettered auction will ensure the welfare‐maximizing allocation of a scarce input that enhances product quality and may reduce production costs. A supplier values the input for this “use value” and for its “foreclosure value,” because once the input is acquired, it is unavailable to rivals. An unfettered auction often ensures the welfare‐maximizing allocation of an input increment. However, it can fail to do so when the input would increase relatively rapidly the competitive position of a rival with a moderate competitive disadvantage. Bidder handicapping that ensures auctions generate welfare‐maximizing input allocations differ from standard handicapping policies.     

Clearing price distributions in call auctions

We propose a model for price formation in financial markets based on the clearing of a standard call auction with random orders, and verify its validity for prediction of the daily closing price distribution statistically. The model considers random buy and sell orders, placed employing demand- and supply-side valuation distributions; an equilibrium equation then leads to a distribution for clearing price and transacted volume. Bid and ask volumes are left as free parameters, permitting possibly heavy-tailed or very skewed order flow conditions. In highly liquid auctions, the clearing price distribution converges to an asymptotically normal central limit, with mean and variance in terms of supply/demand-valuation distributions and order flow imbalance. By means of simulations, we illustrate the influence of variations in order flow and valuation distributions on price/volume, noting a distinction between high- and low-volume auction price variance. To verify the validity of the model statistically, we predict a year's worth of daily closing price distributions for five constituents of the Eurostoxx 50 index; Kolmogorov–Smirnov statistics and QQ-plots demonstrate with ample statistical significance that the model predicts closing price distributions accurately, and compares favourably with alternative methods of prediction.     

REVISITING BOOKBUILDING VERSUS AUCTION IPOS: A PERSPECTIVE OF INFORMATIONALLY EFFICIENT PRICES IN THE AFTERMARKET

We compare price efficiency between auction and bookbuilding initial public offerings (IPOs). Our empirical results fail to support the prevailing conjecture that bookbuilding IPOs are more price efficient than auction IPOs. We find statistical insignificance between two IPO samples or weak evidence for the opposite hypothesis. We add to the evidence that auctions yield aftermarket price efficiency equal to that of bookbuilding or are statistically indifferent when measured by market microstructure and Center for Research in Security Prices (CRSP) data. We also examine whether underlying price efficiency forces reflect the relative presence of informed institutional and retail investors, aftermarket price support, and divergence of investor expectations.     

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.     

Sequential procurement auctions and their effect on investment decisions

We characterize the optimal mechanism and investment level in an environment where (i) two projects of independent costs are purchased sequentially, (ii) the buyer can commit to a two‐period mechanism, and (iii) the winner of the first project can invest in a cost‐reducing technology between auctions. We show that, in an attempt to induce more competition in the first period, the optimal mechanism gives an advantage to the first‐period winner in the second auction. As a result of this advantage, the first‐period winner invests more than the socially efficient level. Optimal advantages, therefore, create two different channels for cost minimization in buyer‐supplier relationships.     

Trading Mechanisms in Securities Markets

This paper analyzes price formation under two trading mechanisms: a continuous quote-driven system where dealers post prices before order submission and an order-driven system where traders submit orders before prices are determined. The order-driven system operates either as a continuous auction, with immediate order execution, or as a periodic auction, where orders are stored for simultaneous execution. With free entry into market making, the continuous systems are equivalent. While a periodic auction offers greater price efficiency and can function where continuous mechanisms fail, traders must sacrifice continuity and bear higher information costs.     

Auctions vs. negotiations in takeovers with initial stakes

Takeover attempts from raiders with prior stakes in the target company (toeholds) are frequent in the market for corporate control. In this context, we propose a simple and realistic selling mechanism with an agenda of exclusive negotiations that discriminates against larger-toehold raiders. When a reserve price is absent, it is shown that this negotiation procedure outperforms, in terms of expected target price, conventional auctions frequently used to model takeover battles. However, when standard auctions can be improved with an optimal reserve price, our results indicate that this target price superiority is sensitive to the degree of toehold asymmetry.     

A “matching auction” for targets with heterogeneous bidders

When potential bidders for a target firm are heterogeneous, standard auction methods for selling the firm are not optimal, as they treat the bidders symmetrically. In a two-bidder contest, one way to discriminate against the stronger bidder is to impose an order of moves. A simple “matching auction” can achieve this objective, in which the “strong” bidder is asked to make a first and final offer, and the other bidder is asked to match this bid. We consider two sources of bidder heterogeneity in a common-value setting: differences in initial toeholds, and asymmetric effects of the bidders' private signals on value. The matching auction results in a higher expected selling price than the standard auctions when the asymmetry is sufficiently large. Other properties of the matching auction are discussed.     

Bankruptcy as an Auction Process: Lessons from Sweden

The traditional U.S. Chapter 11 bankruptcy process in which financial claims are renegotiated under court protection and the firm continues to operate under existing management has long been criticized by economists as an inefficient way of dealing with financially distressed companies. In this paper, the authors make the case for a mandatory auction bankruptcy system of the kind now used in Sweden—one that requires all companies filing for Chapter 11 to be sold in open auctions soon after the filing. After discussing the notable features of and differences between the U.S. and Swedish bankruptcy systems, the authors summarize recent research (much of it their own) on the benefits and possible drawbacks of the Swedish system. Among the most notable findings of this research, there is no evidence that mandatory bankruptcy auctions in Sweden lead to “fire‐sale” discounts in auction premiums. Moreover, the fact that three‐quarters of the Swedish companies that filed for bankruptcy survived as going concerns should allay concerns that an auction system will produce excessive liquidations. At the same time, the post‐bankruptcy operating profitability of the companies that emerge from Swedish auctions as going concerns tends to be on a par with that of their (non‐bankrupt) industry peers. Such post‐operating performance, when combined with a 75% rate of reorganization (versus liquidation), suggests that allowing auction investors—instead of the bankruptcy court—decide which companies survive and how they get capitalized and restructured has been quite effective in accomplishing the two aims of a bankruptcy system: (1) preserving intact all economically viable enterprises while (2) eliminating the excess capacity that results from prolonging the existence of companies that are never expected to earn high enough returns on capital to attract private investment. Consistent with these findings, the U.S. in recent years has seen a sharp increase in the use of auctions in Chapter 11 bankruptcies, though on a voluntary rather than a mandatory basis. Such a change reflects the growing recognition of the role of auction processes in reducing bankruptcy costs and preserving going‐concern values as U.S. capital market participants push harder for private workouts, “prepackaged” Chapter 11 filings, and auction sales in Chapter 11.