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.     

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.     

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.     

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.     

Strategic ex ante contracts: rent extraction and opportunity costs

This article cosiders the possibility that a seller can contract with one uninformed buyer prior to an auction involving two potential buyers. The seller's optimal strategic ex ante contract more accurately reflects joint opportunity costs of the seller and the contracted buyer, and therefore extracts more rent from the entrant. Moreover, this ex ante contract mitigates the seller's ex post rent seeking vis‐à‐vis the contracted buyer. Accordingly, it may create more social welfare than the absence of ex ante contracts, depending upon the contracted buyer's financial constraint and the distributions of trade surplus. Implementation of the optimal strategic ex ante contract and policy implications are discussed.     

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.     

“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.     

An optimal auction with identity‐dependent externalities

We analyze the problem of a seller of multiple identical units of a good who faces a set of buyers with unit demands, private information, and identity‐dependent externalities. We derive the seller's optimal mechanism and characterize its main properties. We show that the probability that a buyer obtains a unit is an increasing function of the externalities he generates and enjoys. Also, the seller's allocation of the units of the good need not be ex post efficient. As an illustration, we apply the model to the problem faced by a developer of a shopping mall who wants to allocate and price its retail space among anchor and non‐anchor stores. We show that a commonly used sequential mechanism is not optimal unless externalities are large enough.     

Bidding rings and the winner's curse

This article extends the theory of legal cartels to affiliated private value and common value environments. We show that efficient collusion is always possible in private value environments, but may not be in common value environments with a binding reserve price. In the latter case, collusion does more than simply transfer rents from the seller to the buyers, it also gives buyers a chance to pool their information prior to trade and make an efficient investment decision. However, full efficiency may not be compatible with information revelation. Buyers with high signals may be better off if no one colludes, leading to inefficient trade. This result provides a possible explanation for the low incidence of joint bidding, especially on marginal tracts, in U.S. federal government offshore oil and gas lease 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.     

Unobserved investment,endogenous quality,and trade

A seller can make investments that affect a tradable asset’s future returns. The potential buyer of the asset cannot observe the seller’s investment prior to trade, nor does he receive any signal of it, nor can he verify it in any way after trade. Despite this severe moral‐hazard problem, this article shows the seller will invest with positive probability in equilibrium and that trade will occur with positive probability. The outcome of the game is sensitive to the distribution of bargaining power between the parties, with a holdup problem existing if the buyer has the bargaining power. A consequence of the holdup problem is surplus‐reducing distortions in investment level. Perhaps counterintuitively, in many situations, this distortion involves an increase in the expected amount invested vis‐à‐vis the situation without holdup.     

Costly search with adverse selection: solicitation curse versus acceleration blessing

We analyze a dynamic trading model of adverse selection where a seller can increase the frequency of strategic price quotes. A low‐quality seller benefits more from trade and, therefore, searches more intensively than a high‐quality seller. This makes a seller's contact carry negative information but a seller's availability become a stronger indicator of high quality. In the stationary environment, the two effects exactly offset each other, and reducing search costs is weakly beneficial to the seller. In the nonstationary environment, the relative strengths of the two effects vary over time, and reducing search costs can be detrimental to the seller.     

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.     

The bidder exclusion effect

We introduce a new, simple‐to‐compute test of independence of valuations and the number of bidders for ascending button auctions with symmetric, conditionally independent private values. The test involves estimating the expected revenue drop from excluding a bidder at random, which can be computed as a scaled sample average of a difference of order statistics. This object also provides a bound on counterfactual revenue changes from optimal reserve pricing or bidder mergers. We illustrate the approach using data from timber auctions, where we find some evidence that bidder valuations and the number of participants are not independent.     

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.     

Private cards and the bypass of payment systems by merchants

This paper studies the incentives of a merchant to bypass a payment platform by issuing private cards. In our model, a payment platform allocates the total cost of a card transaction between a monopolistic issuer and a monopolistic acquirer by choosing an “interchange fee”. We determine how the level of the interchange fee impacts a merchant’s decision to issue private cards, if there are strategic interactions between merchants. We prove that the payment platform can only deter entry by lowering the level of the interchange fee. If the payment platform chooses to accommodate entry, we find that the total user surplus increases, but that entry is beneficial to social welfare only if the entry cost is sufficiently low.     

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.     

A Markov‐perfect equilibrium model of the impacts of price controls on the performance of the pharmaceutical industry

I introduce a computable dynamic equilibrium model of the pharmaceutical industry, parameterize it using industry facts, and use it to predict what happens if the United States adopts price controls or one or more non‐U.S. countries abandon their controls. The model generates implications for firm value, research and development (R&D), the flow of new drugs, and consumer welfare. I highlight the sensitivity of the results to alternative assumptions about R&D costs, market size, technological opportunities, consumer heterogeneity, the extent to which choices internalize prices, barriers to entry in R&D, the extent to which R&D outcomes are correlated, and the nature of the controls.     

Buyers' and sellers' agents in the housing market

We explain why buyers in the housing market use an agent employed by the seller. Such agents reduce buyers' search costs so that more buyers search a particular house. This increases the probability of the sale of the house and possibly also its selling price. However, since the selling price increases, if at all, by less than the fee paid by the seller to the agent, both buyers and sellers are better off. We identify two characteristics that give rise to sellers' agents and show that markets that do not have such agents are missing at least one of these characteristics.     

The Strategic Role of Debt in Takeover Contests

In a takeover contest, the presence of bidders' existing debtholders, if they can be expropriated by issuing new debt with equal or senior priority, allows bidders to commit to bid more than their valuation of the target. Such commitment can be beneficial because it deters potential entry by subsequent bidders and may allow a first bidder to acquire the target at a bargain price. The cost is that if entry by subsequent bidders does nevertheless take place, because the first bidder has committed himself to bid high premia, a bidding war ensues resulting in offers that may involve excessive premia, i.e., bids that are larger than the bidders' valuation of the target.