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.     

Information feedback in first price auctions

I apply the notion of a self‐confirming equilibrium (SCE) to study how feedback in first price auctions influences bidders' perceptions about their strategic environment, and consequently their bidding behavior. In a private values setting, revealing the two highest bids at the end of each auction is sufficient for bidders to have correct beliefs (justifying the assumption of Nash equilibrium). In contrast, in every symmetric SCE of a symmetric, affiliated, private values model, bidding strategies and revenue are (weakly) higher if only the highest bid is revealed. I also consider interdependent valuations and discuss implications for the empirical auction literature.     

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.     

Strategic design under uncertain evaluations: structural analysis of design‐build auctions

I investigate firms' competition over price and product design under uncertain design evaluations in the context of Design‐Build (DB) auctions. Reviewers' design evaluations contain uncertainty from a bidder's perspective, leading luck to dampen differences in the firms' chances of winning. I model bidders' behavior and show semiparametric identification of the model primitives. Uncertain design evaluations increase the expected price of design quality and exacerbate an auctioneer's uncertainty in auction outcomes. These effects are mostly due to changes in bidding strategies. Bid ranking swaps due to uncertain evaluations account for a small share of these effects.     

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.     

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.     

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.     

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.     

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.     

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.     

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.     

Auctions with Endogenous Initiation

We study initiation of takeover auctions by potential buyers and the seller. A bidder's indication of interest reveals that she is optimistic about the target. If bidders' values have a substantial common component, as in takeover battles between financial bidders, this effect disincentivizes bidders from indicating interest, and auctions are seller-initiated. Conversely, in private-value auctions, such as battles between strategic bidders, equilibria can feature both seller- and bidder-initiated auctions, with the likelihood of the latter decreasing in commonality of values and the probability of a forced sale by the seller. We also relate initiation to bids and auction outcomes.     

Auctions with ex post uncertainty

Uncertainty about ex post realized values is an inherent component in many auction environments. In this article, we develop a structural framework to analyze auction data subject to ex post uncertainty as a pure risk. We consider a low‐price sealed‐bid auction model with heterogeneous bidders' preferences and ex post uncertainty. The uncertainty can be common to all bidders or idiosyncratic. We derive the model restrictions and study nonparametric and semiparametric identification of the model primitives under exogenous and endogenous participation. We then develop multistep nonparametric and semiparametric estimation procedures in both cases.     

An analysis of FDIC failed bank auctions

This paper examines whether the sales mechanism used by the FDIC in failed bank auctions results in wealth transfers from the FDIC to the acquiring banks. We test this hypothesis by examining the returns to winning bidders in FDIC auctions. We find positive abnormal returns to these bidders. More importantly, we find a negative and significant relation between the returns to winning bidders and the number of bidders participating in the auction. This evidence suggests that the FDIC's auction procedures do generate wealth transfers.     

The Effect of Leverage on Bidding Behavior: Theory and Evidence from the FCC Auctions

This is an exploration of how bidding behavior of firms in variousauctions is affected by their capital structure. The theoreticalmodel considers a first-price sealed bid and an English auction.We find that as debt levels increase, firms tend to reduce theirbids. The lower bids give the competition incentives to reducetheir bids as well. These results are investigated empiricallyusing data from the 1994–1995 FCC spectrum auctions. Consistentwith the theoretical model, higher debt levels of the biddingfirm and of the competition tend to lead to lower bids. Additionaldeterminants of bidding behavior in these auctions are alsoanalyzed.     

Global trends in IPO methods: Book building versus auctions with endogenous entry

The U.S. book-building method has become increasingly popular for initial public offerings (IPOs) worldwide over the last decade, whereas sealed-bid IPO auctions have been abandoned in nearly all of the many countries in which they have been tried. I model book building, discriminatory auctions, and uniform price auctions in an environment in which the number of investors and the accuracy of investors’ information are endogenous. Book building lets underwriters manage investor access to shares, allowing them to reduce risk for both issuers and investors and to control spending on information acquisition, thereby limiting either underpricing or aftermarket volatility. Because more control and less risk are beneficial to all issuers, the advantages of book building's allocational flexibility could explain why global patterns of issuer choice are surprisingly consistent. My models also predict that offerings with higher expected underpricing have lower expected aftermarket volatility; that an auction open to large numbers of potential bidders is vulnerable to inaccurate pricing and to fluctuations in the number of bidders; and that both book-built and auctioned IPOs will exhibit partial adjustment to both private and public information.     

Designing electricity auctions

Motivated by the new auction format in the England and Wales electricity market, as well as the recent debate in California, we characterize bidding behavior and market outcomes in uniform and discriminatory electricity auctions. Uniform auctions result in higher average prices than discriminatory auctions, but the ranking in terms of productive efficiency is ambiguous. The comparative effects of other market design features, such as the number of steps in suppliers' bid functions, the duration of bids, and the elasticity of demand are analyzed. We also consider the relationship between market structure and market performance in the two auction formats.     

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.     

Bidding strategies and takeover premiums: A review

I review recent empirical research documenting offer premiums and bidding strategies in corporate takeovers. The discussion ranges from optimal auction bidding to the choice of deal payment form and premium effects of poison pills. The evidence describes the takeover process at a detailed level, from initial premiums to bid jumps, entry of rival bidders, and toehold strategies. Cross-sectional tests illuminate whether bidders properly adjust for winner's curse, whether target stock price runups force offer price markups, and whether auctions of bankrupt firms result in fire-sale discounts. The evidence is suggestive of rational strategic bidding behavior in specific contexts.