Auctions for Universal Service Subsidies

The Telecommunications Act of 1996 requires that telephone service be available in high-cost areas at rates that are affordable and reasonably comparable to those charged in low-cost areas. It also requires that carriers serving high-cost areas at below-cost rates be compensated with explicit and sufficient subsidies. This paper analyzes an auction mechanism for the allocation of such subsidies. It shows that in a wide range of circumstances auctions are more efficient than traditional subsidy schemes. It also shows, however, that auction designs aimed at stimulating competition among several subsidized carriers may be particularly vulnerable to collusion.     

A study of zero-out auctions: testbed experiments of a process of allocating private rights to the use of public property

Summary This paper applies an experimental testbed methodology to the evaluation of a proposed mechanism for allocating the right to land at the New York airports. The mechanism is called a zero-out auction because it is supposed to allocate the rights efficiently like an auction while leaving all of the consumer's surplus with the buyers (as opposed to allocating some to the seller as would be the case with an ordinary auction). A new behavioral hypothesis is introduced to account for limited rationality of individuals and unusual behaviors of the process. The axiom, called theunbiased expectations hypothesis, does a good job of modeling individual behavior in the context of a game model.We acknowledge the financial support of the National Science Foundation and the Caltech Laboratory for Experimental Economics and Political Science. Comments by David Grether, John Ledyard, Michael Levine, Jennifer Reinganum, and Richard Sutch have been very helpful.     

Grenzsteine der mathematischen Wirtschaftslehre

Ohne ZusammenfassungBesprechung des Buches Essays in Mathematical Economics in Honor of Oskar Morgenstern, ed. by Martin Shubik, Princeton, New Jersey, Princeton University Press, 1967.     

Rational Buyer Meets Rational Seller: Reserves Market Equilibria under Alternative Auction Designs

We examine efficiency properties and incentive compatibility of alternative auction formats that an electricity network system operator may use for the procurement of ancillary services required for real-time operations. We model the procurement auction as a hierarchical multiproduct auction, and study several designs such as a uniform price auction minimizing revealed social cost, a uniform price auction minimizing the system operator's cost and a pay as bid auction minimizing revealed social cost. We take into account that rational bidders will respond to any market design so as to maximize their expected benefit from participating in that market. Under the assumptions of our model, we show that the uniform price auction minimizing revealed social cost is the only one that guarantees productive efficiency. We also find that expected revenue (payment in our case) equivalence between pay as bid and uniform price auctions does not extend to the hierarchical products case and the ranking of these auctions is ambiguous and depends on the data. For the procurement auction minimizing the system operator's cost, we show that misrepresentation of capability may result in capacity shortages if there are capacity constraints. For the case where only higher capability resources are constrained, this will result in random price spikes decreasing in frequency with the price cap (this is the amount paid to capacity in demand states with shortages). When lower type resources are capacity constrained as well, price spikes will be seen for both type of resources. Such artificial shortages result in reduced reliability in real-time operations.     

Existence of an equilibrium in first price auctions

Summary We study the first price auction game with an arbitrary number of bidders when the bidders' valuations are independent from each other. In technical words, we work within the independent private value model. We show that if the supports of the valuation probability distributions have the same minimum and if this minimum is not a mass point of any of these distributions, then a Nash equilibrium of the first price auction exists. We then modify the first price auction game by adding a closed interval of messages. Every bidder has to send a message with the bid he submits. These messages are used in the resolution of the ties. The winner of the auction is chosen randomly among the highest bidders with the highest value of the message among the highest bidders. In the general case, we prove the existence of a Nash equilibrium for this augmented first price auction.I wish to thank Mamoru Kaneko and a referee for their comments on an earlier draft.     

Mutually Destructive Bidding: The FCC Auction Design Problem

In general, synergies across license valuations complicate the auction design process. Theory suggests that a simple (i.e., non-combinatorial) auction will have difficulty in assigning licenses efficiently in such an environment. This difficulty increases with increases in fitting complexity. In some environments, bidding may become mutually destructive. Experiments indicate that a properly designed combinatorial auction is superior to a simple auction in terms of economic efficiency and revenue generation in bidding environments with a low amount of fitting complexity. Concerns that a combinatorial auction will cause a threshold problem are not borne out when bidders for small packages can communicate.     

Auction Design for the Allocation of Emission Permits in the Presence of Market Power

To the extent that emission permits have been allocated using market mechanisms, this has been done using a sealed-bid auction design, typically with discriminatory prices. However, several authors have recommended the ascending auction format. Basically, two competing ascending auction designs have been suggested, the standard ascending auction (with clock or demand schedules), or an alternative ascending-clock implementation of Vickrey-pricing. The latter design was introduced as a response to problems of bid shading under the sealed-bid and the standard ascending auction format. The purpose of this paper is to investigate the allocation of permits under these two alternative mechanisms. The auction process and the resulting market outcome in the presence of oligopolistic competition are simulated. In this setting, it is not obvious that bid shading is the optimal strategy under the standard design, nor is it obvious that sincere bidding is the optimal strategy under the alternative ascending auction design. The alternative auction format makes it less costly to pursue a strategy to increase market shares through the acquisition of emission permits, thus increasing the competitor's costs, leading to overbidding as the optimal strategy.     

Endogenous Entry and Exit in Common Value Auctions

We develop and experimentally test a model of endogenous entry, exit, and bidding in common value auctions. The model and experimental design include an alternative profitable activity (a safe haven) that provides agentspecific opportunity costs of bidding in the auction. Each agent chooses whether to accept the safe haven income or forgo it in order to bid in the auction. Agents that enter the auction receive independently-drawn private signals that provide unbiased estimates of the common value. The auctioned item is allocated to the high bidder at a price that is equal to the high bid. Thus the market is a first-price sealed-bid common value auction with endogenous determination of market size.     

Discriminatory Price Auctions in Electricity Markets: Low Volatility at the Expense of High Price Levels

A pay-as-offered or discriminatory price auction (DPA) has been proposed to solve the problem of inflated and volatile wholesale electricity prices. Using the experimental method we compare the DPA with a uniform price auction (UPA), strictly controlling for unilateral market power. We find that a DPA indeed substantially reduces price volatility. However, in a no market power design, prices in a DPA converge to the high prices of a uniform price auction with structural market power. That is, the DPA in a no market power environment is as anti-competitive as a UPA with structurally introduced market power.     

Auctions with cross-shareholdings

Summary. We study the effect of cross-shareholding among two competing firms on their bidding behavior and the expected sales revenue for the seller in an auction environment. The bidders private signals are independent, and the model encompasses the private values model and a particular common value model as special cases. When cross-shareholding is symmetric, the bids decrease towards the collusive level as the degree of cross-shareholding increases. The Revenue Equivalence result no longer holds: the first-price auction generates higher expected revenue for the seller than the second-price auction.With asymmetric cross-shareholding, revenue comparisons are only possible in the common value setting. Expected revenue for the seller is again higher in the first-price than in the second price auction. Bidding behavior in the second-price auction is more sensitive to changes in cross-shareholding and the value environment than in the first-price auction.Received: 18 September 2000, Revised: 27 May 2003, JEL Classification Numbers: C72, D44.Correspondence to: Sudipto DasguptaWe thank Sugato Bhattacharyya, Paul Klemperer, Kunal Sengupta and Guofu Tan for helpful discussions, and an anonymous referee for suggestions that improved the paper. The usual disclaimer, of course, applies.     

Revenues in discrete multi-unit, common value auctions: a study of three sealed-bid mechanisms

This paper proposes a discrete bidding model for both quantities and pricing. It has a two-unit demand environment where subjects bid for contracts with an unknown redemption value, common to all bidders. Prior to bidding, the bidders receive private signals of information on the (common) value. The relevant task is to compare the equilibrium strategies and the seller’s revenue of the three most common auction formats with two players. The result is that the Vickrey auction always gives the most revenue to the seller, the discriminatory auction follows closely and the uniform auction clearly is the worst due to demand reduction.

An Insiders' View of FCC Spectrum Auctions

After a long period of awarding spectrum licenses inefficiently, changes in the budget and budgetary process coupled with increases in the value of the spectrum for non-broadcast use led Congress to allow the Federal Communications Commission to award licenses through competitive bidding. Contrary to the perceived view of government bureaucracies as excessively cautious, the FCC used the newfound authority to adopt a novel approach to auction design—simultaneous multiple round auctions. The innovative auction design would not have been adopted without the successful collaboration between government economists and academic economists, who helped to formulate and refine the design so that decision makers at the FCC could be convinced that the novel technique was both superior and practical. The FCCs implementation of competitive bidding was not only rapid as mandated by Congress, but also much less costly than outside alternatives and allowed the integration of spectrum policy decisions and auction design. Experience from several auctions has led to a number of open questions and refinements. The FCC is trying to replicate the success with the original auction design by facilitating dialog between the agency and outside auction experts in order to address these issues.     

Common Value Auctions with Default: An Experimental Approach

This paper examines a common value auction in which bidder default is explicitly allowed. The lack of contractual enforcement has implications for the formation of bids as well as the revenue properties of the auction. Using a common value procurement auction, we explore these implications in an experimental setting. Our results show that bidders are more aggressive when default is allowed. A theoretical result shows that allowing default can actually be in the best interest of the auctioneer. Experimental evidence, however, indicates that this result does not hold true in practice. One possible reason for this discrepancy is that the data in our experiments is consistent with winner's curse behavior.     

Is the Experimental Auction a Dynamic Market?

Experimental auctions are generally thought of as static markets. This paper presents the results of an experimental auction designed to test whether participants perceptions regarding the relative difficulty of delaying or reversing a transaction outside the experimental market systematically affect their willingness-to-pay bids. The results show that auction participants perceptions significantly impact their bids in a manner that is consistent with real option theory. These results suggest that economists must be careful to consider the existence of outside markets when designing experimental auctions.JEL classifications: C91, D44, D81The author was a visiting collaborator at the Center for Agricultural and Rural Development in Ames, Iowa, while part of this research was completed.     

The Impact of Discounting on an Auction with a Buyout Option: a Theoretical Analysis Motivated by eBay’s Buy-It-Now Feature

An auction with a buyout option occurring over continuous time with rules similar to eBays buy it now option is analyzed. When auction participants make no distinction as to when a transaction occurs, the seller optimally chooses a buyout option price so high that bidders never exercise the option. However, time impatience on either side of the transaction can motivate the seller to offer an option price low enough so that the option is exercised with positive probability. Further, allowing a time impatient seller to offer such an option results in an ex ante Pareto improvement when bidders do not discount future transactions.     

Determining the Source of Inter-License Synergies in Two-Way Paging Networks

In the Federal Communication Commissions (FCC) regional narrowband personal communications services (PCS) license auction (auction #3), bidders paid a premium to provide advanced paging services on a nationwide basis as opposed to a regional scale. This paper investigates the potential source of inter-license synergy for two-way paging, the intended narrowband PCS application. Three sources of inter-license synergy are identified as possible candidates. One source, boundary interference, occurs when two distinct carriers operate in the same frequency in neighboring regions. Another source of synergy derives from the fact that neighboring regions may share common resources. A final source of synergy is the ability to offer seamless roaming.     

Increasing Competition and the Winner's Curse: Evidence from Procurement

We assess empirically the effects of the winner's curse which, in common–value auctions, counsels more conservative bidding as the number of competitors increases. First, we construct an econometric model of an auction in which bidders' preferences have both common– and private–value components, and propose a new monotone quantile approach which facilitates estimation of this model. Second, we estimate the model using bids from procurement auctions held by the State of New Jersey. For a large subset of these auctions, we find that median procurement costs rise as competition intensifies. In this setting, then, asymmetric information overturns the common economic wisdom that more competition is always desirable.     

网络团购拍卖中竞标者队列研究

通过分析网络团购拍卖机制下的竞标者等待达到拍卖保留价格现象,提出网络团购拍卖过程中存在竞标者队列,并揭示了竞标者队列的性质及其对网络团购拍卖机制设计的影响。研究指出:网络团购拍卖存在较大数量的成功竞标者,这些成功竞标者因需等待拍卖最终成交而形成竞标者队列;拍卖方对竞标者队列进行的服务与成批服务的排队系统相似,但也存在差异;拍卖方可优化网络团购拍卖机制,以保证获得拍卖收益,并减少在服务过程中出现的队列拥塞现象的发生。     

The scope of auctions in the presence of downstream interactions and information externalities

We scrutinize the scope of auctions for firm acquisitions in the presence of downstream interactions and information externalities. We show that no mechanism exists that allows an investor to acquire a low-cost firm under incomplete information: a separating auction implies adverse selection and relies substantially on commitment to allocation and transfer rules. A pooling auction serves as a commitment device against ex-post opportunistic behavior and alleviates adverse selection. It can earn the investor a higher expected payoff than a separating auction, even when consistency is required as to qualify for a sequential equilibrium.     

Second chance offers in auctions

This paper examines situations in which a seller might make a second chance (take-it-or-leave-it) offer to a non-winning bidder at a price equal to their bid at auction. This study is motivated by the take-it-or-leave-it second chance offer rules used by eBay and a number of state procurement agencies. Equilibrium bidder behavior is determined for IPV sealed bid first price, second price, English, and Vickrey auctions when a second chance offer will be made with an exogenous probability $p$ . In all but the Vickrey auction (which elicits the dominant strategy of bidding one’s value) equilibrium bids are lower than if there were no possibility of a second chance offer and higher than if a second chance offer will be made for certain. Further, the possibility of a second chance offer erodes the strategic equivalence between second price bids and English auction drop out levels. If bidders are risk averse (with CRRA preferences), this difference leads to expected revenue dominance of the second price over the English auction, both of which dominate the Vickrey auction. The first price auction is also shown to revenue dominate the Vickrey auction, and moreover, numerical results and intuition from existing literature suggest that the first price auction revenue dominates the second price auction.