THE EFFECT OF AUCTION FORMAT ON EFFICIENCY AND REVENUE IN DIVISIBLE GOODS AUCTIONS: A TEST USING KOREAN TREASURY AUCTIONS*

This paper measures the efficiency and revenue properties of the two most popular formats for divisible goods auctions: the uniform‐price and discriminatory auction. We analyze bids into the Korean Treasury auctions which have used both formats. We find that the discriminatory auction yields statistically higher revenue. Unlike previous work that uses data from only one format, we are able to compare the efficiency properties of the two formats. We find that the discriminatory auction better allocates treasury bills to the highest value financial institutions. However, the differences in revenue and efficiency are not large because the auctions are very competitive.     

The impact of auction choice on revenue in treasury bill auctions – An empirical evaluation

I evaluate whether uniform price or discriminatory auctions are revenue-superior for selling Treasury bills. To this end, I apply two structural econometric models, Hortaçsu and McAdams (2010) and Fevrier et al. (2002), to a dataset on Polish zero-coupon bonds. My secondary aim is to analyze mutual inconsistencies in prediction from these models. I find that both agree on the revenue-superiority of discriminatory auctions, by between 0.01% and 1.5%; the models’ predictions are contradictory in only 7% of auctions. The large-scale agreement of two vastly different models gives confidence that the conclusions on Polish data are robust to varying many of the underlying economic and econometric assumptions, and not likely just a modeling artifact.     

Asymmetric Cost Pass-Through in Multi-Unit Procurement Auctions: An Experimental Approach*

We explore input cost pass-through in multi-unit procurement auctions. Whether cost shocks are private versus common across firms has important implications for discriminatory, but not uniform price auctions. We provide evidence of asymmetric pass-through of private cost shocks in discriminatory auctions. Unlike uniform price auctions, revenue-maximizing bidders in discriminatory auctions ‘pad’ bids close to the expected clearing price for units with costs below that price, but they do not bid below cost on higher cost units. Therefore, if costs are higher than expected, the clearing price rises and if costs are lower than expected, the clearing price remains high.     

OPTIMAL AUCTIONS WHEN A SELLER IS BOUND TO SELL TO COLLUSIVE BIDDERS*

I consider optimal auctions for a seller who is bound to sell a single item to one of two potential buyers, organized in a ‘well‐coordinated’ cartel. I show that, even though the seller cannot deter collusion, he can optimally accommodate it by employing a simple mechanism which imposes an inefficient allocation on the bidders unless they pay a sufficiently high amount to avoid it.     

On Strategic Quantity Bidding in Multiple Unit Auctions

Standard studies of multiple unit auctions generally overlook the strategic role of bidders' quantity decisions. Using a simple equilibrium model of bidding I analyze bidders' incentives to choose quantities in discriminatory and competitive auctions. The main result is that bidders have a stronger strategic incentive to bid for fewer units in competitive auctions. Since under competition a bidder pays the lowest accepted price for each unit she gets, she may benefit from dropping her quantity to let lower-valuing bidders enter the set of winners. This prediction is consistent with empirical observations from foreign currency and spectrum auctions.     

Auctions with quantity externalities and endogenous supply

This paper studies the design of license auctions when the number of licenses allocated in the auction determines structure of the post-auction market. I first show that a sequence of conditional reserve prices that specify minimum acceptable bid at each supply level can be used to determine supply endogenously. Then I construct a static auction called multi-dimensional uniform-price auction and a dynamic auction called Walrasian clock auction that allow the auctioneer to condition reserve price on supply and allow bidders to condition bids on supply. I show that both proposed auctions can implement the efficient market structure that maximizes total surplus in the post-auction market in a dominant strategy equilibrium. I next characterize the optimal auction and show that the two proposed auctions can yield the optimal revenue under a sequence of optimal reserve prices.     

Fighting collusion in auctions: An experimental investigation

The danger of collusion presents a serious challenge for auctioneers. In this paper, we compare the collusive properties of two standard auctions, the English auction and the first-price sealed-bid auction, and a lesser-known format, the Amsterdam (second-price) auction. In the Amsterdam auction, the highest losing bidder earns a premium for stirring up the price. We study two settings: in one, all bidders can collude, and in another, only a subset is eligible. The experiments show that the Amsterdam auction triggers less collusion than the standard auctions. We compare experimental results to theoretical predictions, and provide an explanation where they differ.     

Auctions on the Internet: What’s Being Auctioned,and How?

This paper is an economist's guide to auctions on the Internet. It traces the development of online auctions since 1993, and presents data from a comprehensive study of 142 different Internet auction sites. The results describe the transaction volumes, the types of auction mechanisms used, the types of goods auctioned, and the business models employed at the various sites. These new electronic-commerce institutions raise interesting questions for the economic theory of auctions, such as predicting the types of goods to be sold at auction, examining the incentive effects of varying auctioneer fee structures, and identifying the optimal auction formats for online sellers.     

Is the ‘Linkage Principle’ Valid? Evidence from the Field

We present field evidence concerning experienced bidders that supports the linkage principle—specifically, the prediction that in affiliated‐values auction environments the expected revenues generated at open‐outcry, ascending‐bid auctions are higher than those under auction formats that reveal less information to participants. Using field data from a large seller of automobiles who experimented with different selling formats, we have found that average revenues were significantly higher under an English auction than under a dynamic Internet auction format that revealed less information to bidders.     

COLLUSION AND RESEARCH JOINT VENTURES*

I examine the question whether cooperation in R&D among firms producing similar products leads to product market collusion. Suppose that firms engage in a stochastic R&D race while maintaining the collusive equilibrium in a repeated‐game framework. Innovation under non‐cooperative R&D leads to an inter‐firm asymmetry, destabilizing collusion in pre‐discovery and post‐discovery periods. Innovation sharing under cooperative R&D preserves the symmetry and also increases total profit, thereby facilitating collusion. However, welfare may increase with cooperative R&D. I also examine the condition for collusion under licensing and compare the results.     

Supply function equilibria with capacity constraints and pivotal suppliers

The concept of a supply function equilibrium (SFE) has been widely used to model generators' bidding behavior and market power issues in wholesale electricity markets. Observers of electricity markets have noted how generation capacity constraints may contribute to market power of generation firms. If a generation firm's rivals are capacity constrained then the firm may be pivotal; that is, the firm could substantially raise the market price by unilaterally withholding output. However the SFE literature has not fully considered the impact of capacity constraints and pivotal firms on equilibrium predictions. We characterize the set of symmetric supply function equilibria for uniform-price auctions when firms are capacity constrained and show that this set is increasing as capacity per firm rises. We provide conditions under which asymmetric equilibria exist and characterize these equilibria. In addition, we compare results for uniform-price auctions to those for discriminatory auctions, and we compare our SFE predictions to equilibrium predictions of models in which bidders are constrained to bid on discrete units of output.     

On Antitrust Enforcement and the Deterrence of Collusive Behaviour

This paper examines an antitrust enforcement policy of using significant price changes in an industry as a sorting mechanism for the allocation of resources devoted to policing collusion. That is, in either responding to complaints or initiating investigations on their own, I examine the issue of whether an antitrust enforcement policy of inferring possible collusion from significant prices changes is effective in deterring collusion given that antitrust officials have no direct knowledge of the costs of individual firms. Using the imperfect information repeated game of Green and Porter (1984), I show that this investigation strategy if coupled with uniform costs being borne by firms, can reduce the expected profits from the collusive agreement: however, unless the punishment is large enough, it will be ineffective in reducing the frequency of collusion. More importantly, it can have the undesirable effect of reducing the output agreed to by firms, if firms choose quantities, or raise collusive prices if firms are choosing price. Moreover, if the enforcement policy is anticipated by firms, the punishment mechanism adopted to support collusion will be altered to offset the policy.     

Third-Degree Price Discrimination in Oligopoly when Markets are Covered*

We analyze oligopolistic third-degree price discrimination relative to uniform pricing when markets are covered. Pricing equilibria are critically determined by supply-side features such as the number of firms and their marginal cost differences. It follows that each firm's Lerner index under uniform pricing is equal to the weighted harmonic mean of the firm's relative margins under discriminatory pricing. Uniform pricing then lowers average prices and raises consumer surplus. We can calculate the gain in consumer surplus and loss in firms' profits from uniform pricing based only on the market data of the discriminatory equilibrium (i.e., prices and quantities).     

NON‐COOPERATIVE ENTRY DETERRENCE IN LICENSE AUCTIONS: DYNAMIC VERSUS SEALED BID*

We examine the impact of potential entry on incumbent bidding behavior in license auctions, in both dynamic and sealed bid formats. Unlike sealed bid auctions, dynamic auctions reveal information about the identities of potential winners and allow bidders to revise their bids. This helps incumbents to coordinate their entry deterrence efforts. If entry is sufficiently costly for each incumbent, only the dynamic auction has an equilibrium where entry is deterred for sure. Numerical calculations suggest that, regardless of how costly entry is for each incumbent, sealed bid auctions can generate a higher probability of entry as well as a more efficient allocation.     

Hiccups in US spectrum auctions

While an increasing number of countries have embraced auctions to assign radio frequency, many other countries have decided to retain selection by the administration. Of the many factors that might have influenced those countries that have rejected auctions, one of the most visible in Europe has been frequent media reports of the problems experienced with auctions in the US between 1995 and 1997. In my experience, these reports have been accepted at face value by many European industry commentators and policy officials. It seems clear that the repeated reporting of these problems has influenced the evolution of spectrum management policy in Europe. This paper tries to set the record straight by providing an analysis of the problems that were reported in Europe regarding US spectrum auctions, specifically the declarations of bankruptcy by several winning bidders and overbidding by participants, the enormous revenue shortfall on the WCS block auction, and reports of collusion among bidders.     

Spectrum auctions in India: lessons from experience

Spectrum auctions have been used with significant success in many developed countries. From a regulatory and policy perspective, spectrum auctions ensure the efficient use of spectrum by allocating it to those entities that value it most, while also generating revenues for governments. But auctions may lead to unexpected outcomes due to unanticipated problems with their design leading to unexpected bidder behavior such as collusion and over-bidding. The key challenge before regulatory agencies is to design auctions in such a way as to meet the objective of fostering competition while at the same time ensuring that bidders can effectively use the spectrum for their business. While India was one of the early adopters of spectrum auctions, its success in service provision has been low. This paper critically examines issues in auction design that contributed to this delay and reviews the key elements in the design process namely a coherent regulatory framework, choice of service areas, flexibility for service area consolidation, standards and their role, convergence, managing public service regulation and managing defaults. The paper compares the handling of these elements in auctions in the United States (US), United Kingdom (UK) and Australia with the objective of drawing lessons for Indian policy makers.     

Entry into auctions: An experimental analysis

This paper investigates entry decisions into first and second-price auctions using an experimental design to extract information on willingness-to-pay to enter (WTE). We find that subjects tend to overpay to enter both auction formats. In particular, if the subjects believe they will be bidding against bidders following the risk-neutral Nash strategy, their WTE is greater than the optimal risk-neutral amount 97% of the time for first-price auctions (FPA) and 90% for second-price auctions (SPA). If they believe that they are bidding against subjects who bid as do the other subjects, they submit a WTE that is too high 92% of the time for FPA and 69% of the time for SPA. We also find, in line with previous studies, significant overbidding in both the FPA and SPA. We then investigate whether introducing risk aversion (RA) or “joy of winning” (JOY) can explain the joint observation of over-entry and overbidding. In particular, using bid data alone, we structurally estimate three models, one allowing RA only, one allowing for JOY only and one allowing for both RA and JOY. While a model with JOY alone overestimates WTE, we find that RA alone can explain 38% of WTE but a model with both RA and JOY (where RA is estimated using FPA bids, and JOY is estimated using SPA bids) can explain 65% of WTE. Moreover, JOY appears to explain nearly all of the male WTE but only 44% of the female WTE.     

Strommarktdesign: Zur Ausgestaltung der Auktionsregeln an der EEX

This paper studies the design of power exchanges in liberalized electricty markets. We analyze several pricing rules for day ahead trading and show that a uniform price mechanism has quite desirable properties as compared to its alternatives. We then discuss how the particular cost structure of electricity generation can be accounted for by appropriate bid formats. We moreover analyze the effects of bid caps and price floors in electricity auctions on market performance, as well as several other aspects of electricity market design. In particular, we discuss linkage of independently operating markets for electricity, reserve energy and transmission capacities, coupling of national power exchanges, and the effects of transparency on the outcome of electricity markets.     

Airport congestion and capacity when carriers are asymmetric

This study investigates pricing and capacity investment for a congested airport served by multiple carriers. Removing the symmetric carrier assumption, when airlines’ market shares are potentially asymmetric, the socially non-discriminatory optimal charge rule should include an additional term that corrects the distortion caused by pricing itself. The first-best outcome cannot be achieved, and the airport overinvests under the non-discriminatory optimal charge. However, if the airport levies discriminatory charges respective to carriers, the first-best outcome can be achieved and capacity investment is socially efficient under discriminatory optimal charges. In addition, the discriminatory optimal charges levied on a carrier with a larger (smaller) market share are lower (higher).     

Secret reserve prices in first-price auctions

This article offers a theoretical explanation for the use of secret reserve prices in auctions. I study first-price auctions with and without secret reserve price in an independent private values environment with risk-neutral buyers and a seller who cares at least minimally about risk. The seller can fix the auction rules either before or after she learns her reservation value. Fixing the rules early and keeping the right to set a secret reserve price can be strictly optimal. Moreover, I describe the relation of using a secret reserve price to phantom bidding and non-commitment to sell.