ALL‐PAY AUCTIONS WITH A BUY‐PRICE OPTION

This paper studies all‐pay auctions in which there is a buy‐price option for bidders to guarantee purchases at a seller‐specified price. We analyze symmetric increasing bidding equilibria in the first‐ and second‐price all‐pay auctions with the buy‐price option. While the optimal buy‐price in the second price is higher than are those in the first‐price all‐pay auction, both formats maintain the same expected profit. With an endogenous entry process, all‐pay auctions with the buy‐price can attract more consumers and ultimately reach a higher expected profit than does the uniform posted‐price selling mechanism. (JEL D44, L11, L81)     

INDIVIDUAL BEHAVIOR AND BIDDING HETEROGENEITY IN SEALED BID AUCTIONS WHERE THE NUMBER OF BIDDERS IS UNKNOWN

This article uses laboratory data from a series of first‐price (FP) and second‐price (SP) sealed bid auctions in which the number of bidders is unknown to test for possible deviations of individual behavior from theory and study the source of heterogeneity in bidding. In SP auctions we find a substantial amount of coincidence with theory. We observe systematic deviations from risk neutral bidding in FP auctions and show theoretically that these deviations are consistent with risk averse preferences. We find essentially no heterogeneity in bidding in SP auctions where risk preferences and the number of bidders do not affect the optimal bid, while in the FP auctions heterogeneity in bidding persists with experience. We find that heterogeneity in bidding in FP auctions is consistent with heterogeneity in risk preferences, the attempt to count the number of bidders in the auction, and bidder specific noise. (JEL D44, C91)     

AUCTIONS WITH RESALE OPPORTUNITIES: AN EXPERIMENTAL STUDY

We study first price asymmetric private value auctions with resale opportunities presented in seller's and buyer's markets. We offer experimental evidence on bidding behavior, prices, and resource allocation. Building upon the Hafalir and Krishna (2008) model, we find that bidders will bid higher in an auction if the resale market is a seller's market than a buyer's market. There is a price/revenue‐efficiency trade‐off established theoretically between these two resale regimes. In equilibrium, however, final efficiency is high irrespective of the resale market structure. Evidence of bid symmetrization and higher final efficiency is found in the buyer‐advantaged resale case. (JEL D44, C92)     

SOME EVIDENCE ON LATE BIDDING IN EBAY AUCTIONS

Bidding in the last seconds or minutes of an auction is a common strategy in Internet auctions with fixed end‐time. This paper examines the three explanations of late bidding in eBay auctions that survived the first scrutiny in Roth and Ockenfels (2002) . There is no indication that late bidding could lead to collusive gains for bidders. Late bidding is a strategic response to the presence of bidders placing multiple bids. Experts protecting their private information are typically the last to bid, while collectors are often the first. As bidders gain familiarity with eBay rules, they tend to bid slightly earlier. (JEL D44)     

DESIGNED TO FAIL: THE MEDICARE AUCTION FOR DURABLE MEDICAL EQUIPMENT

We examine the theoretical properties of the auction for Medicare Durable Medical Equipment. Two unique features of the Medicare auction are (1) winners are paid the median winning bid and (2) bids are nonbinding. We show that median pricing results in allocation inefficiencies as some high‐cost firms potentially displace low‐cost firms as winners. Further, the auction may leave demand unfulfilled as some winners refuse to supply because the price is set below their cost. We also introduce a model of nonbinding bids that establishes the rationality of a lowball bid strategy employed by many bidders in the actual Medicare auctions and recently replicated in Caltech experiments. We contrast the median‐price auction with the standard clearing‐price auction where each firm bids true costs as a dominant strategy, resulting in competitive equilibrium prices and full efficiency. (JEL D44, I11, H57)     

POTENTIAL COMPETITION AND POSSIBLE COLLUSION IN FOREST SERVICE TIMBER AUCTIONS

Potential competition significantly affects the size of winning bids in Forest Service sealed-bid timber auctions and has little effect on winning bids in oral auctions. Winning sealed bids depend even more, however, on actual competition, a result suggesting collusion. This explanation is supported using an index representing the likelihood an auction was rigged. Preclusive bidding (a type of collusion) in oral auctions is indicated by a positive relationship between hauling distances and the size of winning sealed bids. Comparisons of winning-bid variances, overbids, and numbers of bidders across auction type support this explanation of oral auction prices.     

Bidder Preferences among Auction Institutions

This study examines bidder preferences between alternative auction institutions. We seek to characterize experimentally the degree to which bidders prefer an ascending auction to a sealed bid auction. We find very strong ceteris paribus preferences for the ascending institution with bidders choosing it overwhelmingly often when entry prices for the two auctions are the same. When the entry prices of the two auctions differ, many subjects can be shown to be willing to pay more to enter the ascending auction than is explainable by their risk attitudes when accounting for their expectations about the risk preferences of their opponents. (JEL C91 , D44 )     

DO BETTER INFORMED INVESTORS ALWAYS DO BETTER? A BUYBACK PUZZLE

We explore the value of private investment information using data from a singular source: auctions of yearling racehorses. Horse breeders possess superior information about their own horses and have strong financial incentives to buy the best of these back at auction. However, those they repurchase subsequently perform significantly worse on average, earning 30% less at the racetrack than horses purchased by outsiders. Moreover, this underperformance is concentrated in male horses, despite these being purchased exclusively for racing purposes. These puzzling findings cannot be explained by differences in horse risk or breeder abilities, or by nonfinancial objectives, or by behavioral or selection biases. (JEL G02, G11, G14, L83, D44)     

FIXED REVENUE AUCTIONS: THEORY AND BEHAVIOR

In this paper, we study auctions in which the revenue is fixed but the quantity is determined by the auction mechanism. Specifically, we investigate the theory and behavior of English quantity clock, Dutch quantity clock, last‐quantity sealed bid, and penultimate‐quantity sealed bid auctions. For theoretically equivalent fixed quantity and fixed revenue auctions, we find that fixed revenue auctions are robust to all the previously observed empirical regularities in fixed quantity auctions. (JEL C9, D4, L2)     

RESERVE PRICE EFFECTS IN AUCTIONS: ESTIMATES FROM MULTIPLE REGRESSION‐DISCONTINUITY DESIGNS

We present evidence from 260,000 online auctions of second‐hand cars to identify the impact of public reserve prices on auction outcomes. We exploit multiple discontinuities in the relationship between reserve prices and vehicle characteristics to present causal regression‐discontinuity estimates of reserve price impacts. We find an increase in reserve price decreases the number of bidders, increases the likelihood the object remains unsold, and increases expected revenue conditional on sale. We then combine these estimates to calibrate the reserve price effect on the auctioneer's ex ante expected revenue. This reveals the auctioneer's reserve price policy to be locally optimal. (JEL D44, L11, L62)     

A comparison of pricing rules for auctions and fair division games

Consider an auction or fair division game where every bidder knows his true value of the single object but is only incompletely informed about the true values of his competitors. By imposing the axiom of envy freeness with respect to stated preferences the set of pricing rules is restricted to the prices between the highest and second highest bid. Whereas for auctions one also can satisfy incentive compatibility, the same is not true for fair division games. We analyse and compare the different pricing rules, partly incentive compatible and partly not, by deriving the optimal bidding strategies. By comparing the payoff expectations induced by the various pricing rules we can prove directly a special equivalence statement saying that expected payoffs do not depend on the pricing rule. It is interesting that in fair division games equivalence of pricing rules is only valid if information is sufficiently incomplete.The authors gratefully acknowledge the helpful comments of an anonymous referee     

ROBUSTNESS OF BIDDER PREFERENCES AMONG AUCTION INSTITUTIONS

In previous work, we found that bidders strongly prefer the ascending to the first‐price sealed‐bid auction on a ceteris paribus basis, but perhaps surprisingly, they are not willing to pay up to an entry price for the ascending auction that would equalize the profits. Risk aversion was proposed as an explanation. In this study, we examine two alternative explanations for the observed behavior: loss aversion and aversion to the dynamic bidding process. We find that neither alternative explanation can account for bidders’ auction choice behavior, leaving risk aversion as the only unfalsified hypothesis. (JEL C91, D44)     

THE ROLE OF THE BIDDING PROCESS IN PRICE DETERMINATION: JUMP BIDDING IN SEQUENTIAL ENGLISH AUCTIONS

This paper uses data collected from a series of public auctions of used cars in New Jersey to examine how strategic bidding affects price determination in open‐outcry English auctions. “Jumps” in the bidding, which occur when a new offer exceeds the old offer by more than the minimum bid increment, are highly pervasive and consistently related to the item’s presale estimated price. The size of the jumps is not affected by the selling order, however. This jump bidding pattern suggests that open‐outcry auctions are more appropriately interpreted with models that assume common‐item valuations rather than models assuming private valuations. (JEL D44)     

CAPACITY CONSTRAINTS AND INFORMATION REVELATION IN PROCUREMENT AUCTIONS

We utilize laboratory experiments to study behavior in sequential procurement auctions where winning an auction round increases a bidder's future costs. The game admits competitive as well as bid‐rotation style collusive equilibria. We find that (a) bidders show some propensity to account for the opportunity cost of winning an auction, but underestimate its magnitude; (b) revealing all bids (instead of only the winning bid) after each round leads to dramatically higher procurement costs. The rise in procurement costs is accompanied by an increase in very high (extreme) bids, a fraction of which appear to be collusive in nature. (JEL C91, D44, L44)     

PROCUREMENT AUCTIONS WITH RENEGOTIATION AND WEALTH CONSTRAINTS

Renegotiation is a common practice in procurement auctions which allows for postauction price adjustments and is nominally intended to deal with the problem that sellers might underestimate the eventual costs of a project during the auction. Using a combination of theory and experiments, we examine the effectiveness of renegotiation at solving this problem. Our findings demonstrate that renegotiation is rarely successful at solving the problem of sellers misestimating costs. The primary effect of allowing renegotiation is that it advantages sellers who possess a credible commitment of default should they have underbid the project. Renegotiation allows these weaker types of sellers to win more often and it also allows them to leverage their commitment of default into higher prices in renegotiation from a buyer. (JEL C91, D44, D82)     

RESERVE PRICE VERSUS ENTRY FEE IN STANDARD AUCTIONS

Analysis of standard auction rules when bidders are risk averse is usually carried out under the assumption that the seller is able to set an optimal reserve. The role of entry fees has been generally overlooked in that analysis. We consider bidders with constant absolute risk aversion and show that reserve price is an essential tool in the second price auction while entry fee is essential in the first price auction. Furthermore, setting a reserve price and entry fee combination optimally may change some of the rankings of the standard auctions that hold under optimal reserves. (JEL D44)     

PRIZE SCARCITY AND OVERDISSIPATION IN ALL‐PAY AUCTIONS

We compare bidding behavior in complete information all‐pay auction experiments that vary in the prizes and number of players. We confirm the observation from prior single‐prize experiments that there is overbidding relative to equilibrium predictions. Our primary results are that increasing the number of prizes and players proportionally does not reduce overbidding but increasing the number of prizes with a fixed number of players eliminates overbidding. We conclude that the overbidding phenomenon is related to the scarcity of the prize. We provide new theoretical results on the multi‐prize logit equilibrium, and our experimental results are qualitatively consistent with logit equilibrium predictions. (JEL D72, D91, C91, D44)     

INCENTIVES AND BEHAVIOR IN ENGLISH, DUTCH AND SEALED-BID AUCTIONS

The Pareto optimality and price behavior of English and Dutch oral auctions, and First-Price and Second-Price sealedbid auctions are compared under various procedures for assigning valuations among cash motivated bidders. The Vickrey propositions with respect to the mean and variance of prices under the English, Dutch and Second-Price auctions are not falsified by the data. Individual behavior and prices in the First-Price auction deviates considerably from Vickrey's Nash postulate. Behaviorly, the English and Second-Price auctions appear to be isomorphic, but the Dutch and First-Price auctions may not be isomorphic.     

COLLUSION FACILITATING AND COLLUSION BREAKING POWER OF SIMULTANEOUS ASCENDING AND DESCENDING PRICE AUCTIONS

This article demonstrates that a robust tacit collusion evolves quickly in a "collusion incubator" environment but is destroyed by the simultaneous descending price auction. Theories of collusion-producing behavior, along with the detail of the states on which strategies are conditioned, lead to a deeper understanding of how tacit collusion evolves and its necessary conditions. These theories explain how the descending price auction destroys the collusion. The experiments proceed by conducting simultaneous ascending price auctions in the collusion incubator. Then, once the tacit collusion developed, changing to the descending auction. The change moved prices from collusive levels to near-competitive levels. ( JEL C71, C92, D43, D44)