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.     

“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 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.     

Integrating auction and search markets: The slow Dutch auction

The issue of choosing to sell property by auction or by traditional negotiated search markets is addressed in this article. A general selling institution called the slow Dutch auction is introduced. This general selling mechanism reduces to either a conventional auction, a posted offer, or some time dependent mix of these selling institutions depending on the pricing rule chosen by the seller. We model search by having potential buyers whose private valuation for the property is unknown to the seller arrive randomly over time. With this general framework the seller's problem is to choose a selling mechanism that maximizes expected wealth. Surprisingly, we find that the optimal selling institution is always a posted offer market. The seller chooses an optimal posted price and waits until a buyer arrives who is willing to pay this price. Auctions are never optimal.     

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.     

Corporate Reorganizations and Non-Cash Auctions

This paper extends the theory of non-cash auctions by considering the revenue and efficiency of using different securities. Research on bankruptcy and privatization suggests using non-cash auctions to increase cash-constrained bidder participation. We examine this proposal and demonstrate that securities may lead to higher revenue. However, bidders pool unless bids include debt,which results in possible repossession by the seller. This suggests all-equity outcomes are unlikely and explains the high debt of reorganized firms. Securities also inefficiently determine bidders' incentive contracts and the firm's capital structure. Therefore, we recommend a new cash auction for an incentive contract.     

Why government bonds are sold by auction and corporate bonds by posted-price selling

When information is costly, a seller may wish to prevent prospective buyers from acquiring information, for the cost of information acquisition ultimately is borne by the seller. A seller can achieve the desired prevention through posted-price selling, by offering prospective buyers a discount. No such prevention is possible in the case of an auction. We establish the result that the seller prefers posted-price selling when the cost of information acquisition is high and auctions when it is low. We view corporate bonds as an instance of the former case, and government bonds as an instance of the latter.     

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.     

Regulating bidder participation in auctions

Regulating bidder participation in auctions can potentially increase efficiency compared to standard auction formats with free entry. We show that the relative performance of two such mechanisms, a standard first‐price auction with free entry and an entry rights auction, depends nonmonotonically on the precision of information that bidders have about their costs prior to deciding whether to participate in a mechanism. As an empirical application, we estimate parameters from first‐price auctions with free entry for bridge‐building contracts in Oklahoma and Texas and predict that an entry rights auction increases efficiency and reduces procurement costs significantly.     

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.     

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.     

Creditor financing and overbidding in bankruptcy auctions: Theory and tests

We present unique empirical tests for auction overbidding using data from Sweden's auction bankruptcy system. The main creditor (a bank) can neither bid in the auction nor refuse to sell in order to support a minimum price. However, we argue that the bank may increase its expected revenue by financing a bidder in return for a joint bid strategy, and we show that the optimal coalition bid exceeds the bidder's private valuation (overbidding) by an amount that is increasing in the bank's ex ante debt impairment. We find that bank–bidder financing arrangements are common, and our cross-sectional regressions show that winning bids are increasing in the bank-debt impairment as predicted. While, in theory, overbidding may result in the coalition winning against a more efficient rival bidder, our evidence on post-bankruptcy operating performance fails to support such allocative inefficiency effects. We also find that restructurings by bank-financed bidders are relatively risky as they have greater bankruptcy refiling rates, irrespective of the coalition's overbidding incentive.     

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.     

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.     

Capital gains tax,supply‐driven trading and ownership structure: direct evidence of the lock‐in effect

This study investigates the effect of differential capital gains tax rates on investor trading and share prices in a unique market setting that facilitates the resolution of conflicting prior evidence of holding period tax incentives. In particular, we examine whether the concessionary tax treatment of long‐term capital gains increases the supply of shares that qualify for long‐term status, thereby causing downward price pressure. We find evidence of abnormal seller‐initiated trading following the 12‐month anniversary of listing for IPO firms that appreciate in price (‘winners’) and report no such evidence for firms that decline in price (‘losers’). Consistent with the tax concessions being greater for individual than institutional investors, we report that abnormal seller‐initiated trading is mitigated by higher levels of ownership by institutional investors. We also report limited evidence, for winners, of declining share prices upon qualifying for long‐term tax status.     

Private-Value Auction Versus Posted-Price Selling: An Agent-Based Model Approach

An agent-based first-price private-value auction and an agent-based posted-price market are developed to compare these selling methods when buyers have private values. If the seller cannot impose a reserve price and has little uncertainty about the item's value, the seller's expected revenue is highest in the posted-price market. Otherwise, the seller is better off selling the item with the auction. Using a genetic algorithm and Monte Carlo integration solved the agent-based models quicker and provided more precise answers than solving models with particle swarm optimization and using the trapezoidal rule for numerical integration. Copyright © 2015 John Wiley & Sons, Ltd.     

On the asymptotic distribution of the transaction price in a clock model of a multi‐unit,oral, ascending‐price auction within the common‐value paradigm

Using a clock model of a multi‐unit, oral, ascending‐price auction, within the common‐value paradigm, we analyze the behavior of the transaction price as the numbers of bidders and units gets large in a particular way. We find that even though the transaction price is determined by a fraction of losing drop‐out bids, that price converges in probability to the true, but ex ante unknown, value. Subsequently, we demonstrate that the asymptotic distribution of the transaction price is Gaussian. Finally, we apply our methods to data from an auction of taxi license plates held in Shenzhen, China.     

Procurement with specialized firms

We analyze optimal procurement mechanisms when firms are specialized. The procurement agency has incomplete information concerning the firms' cost functions and values high quality as well as low price. Lower type firms are cheaper (more expensive) than higher type firms when providing low (high) quality. With specialized firms, distortion is limited and a mass of types earns zero profits. The optimal mechanism can be inefficient: types providing lower second‐best welfare win against types providing higher second‐best welfare. As standard scoring rule auctions cannot always implement the optimal mechanism, we introduce a new auction format implementing the optimal mechanism.     

The impact of auctions on residential property prices

This study assesses whether the sale method in residential real estate markets – auction versus private treaty – is a determinant of sale price. Utilising a larger and richer dataset than previous research, we test for a price effect in auction sales in Sydney and Christchurch. When self‐selection biases are corrected for, using two‐stage hedonic regression analysis and a matched sampling procedure, we find no significant difference between prices of properties sold at auction to those sold by private treaty. This conflicts with the conclusions of previous research in the Australian and New Zealand housing markets, which have documented a price premium associated with auction sales.     

Mean Reversion in Profitability for Non‐listed Firms

The presence of mean reversion in profitability at the firm level is important for valuation and prediction of growth and earnings. We investigate the mean reversion in accounting profitability for Norwegian non‐listed firms for the period 1988–2006. We find a mean reversion rate of about 0.44 per year. This is higher than found in other studies. We also find that small firms have a higher mean reversion rate than large firms. Our results should have important practical implications for the difficult task of valuing non‐listed firms. Previously, price‐to‐book ratios have been used to investigate changes in profitability over time for listed firms. We examine bankruptcy risk as an alternative variable for unlisted firms. We find that bankruptcy risk may help explain changes in profitability, but the results are not as strong as found in previous work.