Spectrum Auction Design

Spectrum auctions are used by governments to assign and price licenses for wireless communications. The standard approach is the simultaneous ascending auction, in which many related lots are auctioned simultaneously in a sequence of rounds. I analyze the strengths and weaknesses of the approach with examples from US spectrum auctions. I then present a variation-the combinatorial clock auction-which has been adopted by the UK and many other countries, which addresses many of the problems of the simultaneous ascending auction while building on its strengths. The combinatorial clock auction is a simple dynamic auction in which bidders bid on packages of lots. Most importantly, the auction allows alternative technologies that require the spectrum to be organized in different ways to compete in a technology-neutral auction. In addition, the pricing rule and information policy are carefully tailored to mitigate gaming behavior. An activity rule based on revealed preference promotes price and assignment discovery throughout the clock stage of the auction. Truthful bidding is encouraged, which simplifies bidding and improves efficiency. Experimental tests and early auctions confirm the advantages of the approach.     

Synergistic valuations and efficiency in spectrum auctions

In spectrum auctions, bidders typically have synergistic values for combinations of licenses. This has been the key argument for the use of combinatorial auctions in the recent years. Considering synergistic valuations turns the allocation problem into a computationally hard optimization problem that generally cannot be approximated to a constant factor in polynomial time. Ascending auction designs such as the Simultaneous Multiple Round Auction (SMRA) and the single-stage or two-stage Combinatorial Clock Auction (CCA) can be seen as simple heuristic algorithms to solve this problem. Such heuristics do not necessarily compute the optimal solution, even if bidders are truthful. We study the average efficiency loss that can be attributed to the simplicity of the auction algorithm with different levels of synergies. Our simulations are based on realistic instances of bidder valuations we inferred from bid data from the 2014 Canadian 700 MHz auction. The goal of the paper is not to reproduce the results of the Canadian auction but rather to perform “out-of-sample” counterfactuals comparing SMRA and CCA under different synergy conditions when bidders maximize payoff in each round. With “linear” synergies, a bidder's marginal value for a license grows linearly with the total number of licenses won, while with the “extreme national” synergies, this marginal value is independent of the number of licenses won unless the bidder wins all licenses in a national package. We find that with the extreme national synergy model, the CCA is indeed more efficient than SMRA. However, for the more realistic case of linear synergies, SMRA outperforms various versions of CCA that have been implemented in the field including the one used in the Canadian 700 MHz auction. Overall, the efficiency loss of all ascending auction algorithms is small even with high synergies, which is remarkable given the simplicity of the algorithms.     

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.     

Sorry Winners

Bidders who receive both “common-value” and “private-value” signals about the value of an auction prize cannot fully infer their opponents’ information from the bidding. So bidders may overestimate the value of the prize and, subsequently, regret winning. When multiple objects are on sale, bidding in an auction provides information relevant to the other auctions, and sequential auctions are more vulnerable to overpayment and winners’ regret than are simultaneous auctions. With information inequality among bidders, the seller’s revenue is influenced by two contrasting effects. On the one hand, simultaneous auctions reduce the winner’s curse of less informed bidders and allow them to bid more aggressively. On the other hand, sequential auctions induce less informed bidders to bid more aggressively in early auctions to acquire information.      

Spectrum auctions in a thin market: The Korean case

In 2010, the Korean government adopted spectrum auctions and introduced a market mechanism into spectrum management. However, the government has often been confronted with conflicts between diverse policy goals of spectrum auctions. A thin spectrum market, where only three incumbent MNOs bid for spectrum, has led to concerns that the government may fail to maximize revenues.Based on the past experiences in Korea, this paper examines the Korean government's choice of auction rules in the face of conflicting policy goals. This paper also recommends that the government implement the following regulatory reforms and consider the auction related measures to deepen its spectrum market or increase the number of bidders: (i) relaxation of foreign ownership restrictions, (ii) introduction of regional or site-specific spectrum licenses, and (iii) modification of auction formats. Spectrum markets tend to be thin in many countries, and the Korean experience may offer implications for those countries when they implement spectrum auctions.     

First‐Price Sealed‐Bid Tender versus English Open Auction: Evidence from Land Auctions

This article compares whether the first‐price sealed‐bid tender or the ascending English open auction generates higher revenue for the seller. Using a unique set of data for land sales and accounting for the presence of an endogenous discrete mechanism choice variable, our results show that the first‐price sealed‐bid tender generates a lower land price, in the range of 1.2–9.6%, than the English open auction. Our results validate the theoretical prediction that open auctions result in higher prices because bidders can infer other bidders’ information by observing their bids in the common value auction paradigm.     

Economic and policy implications of spectrum license fee payment methods

This paper argues that “Do auctions raise consumer prices?” is a misleading question. License fee payment methods, rather than spectrum assignment methods, are key factors that bring forth different market outcomes in the wireless telecommunication industry. This paper analyzes and discusses the effects of three spectrum license fee payment methods—upfront lump-sum fees, royalties, and profit sharing—on economic efficiency, spectrum supply, and government revenue. Royalties create distortions in product and factor markets but can induce the government to increase spectrum supply and encourage firms’ investments. A caveat is that the analyses are based on the model assuming monopoly market and information certainty.     

Construction Procurement Auctions: Do Entrant Bidders Employ More Aggressive Strategies than Incumbent Bidders?

Asymmetric auction theory predicts that weak bidders will bid more aggressively when facing strong bidders, while strong bidders will bid less aggressively when facing weak bidders. This paper finds empirical evidence to support this hypothesis regarding the behavior of weak bidders in construction auctions. Examining a comprehensive data set of more than 7,500 Utah construction procurement auctions, we find that entrants bid more aggressively than do incumbents for most subcontractor types. Reflecting their inexperience and uncertainty regarding the true cost of projects, entrants’ bids are found to be more widely dispersed around the central tendency of bids.     

Securities auctions with pre-project information management

This paper analyzes securities auctions in which bidders have an option to acquire information after winning the right to develop a project. The payment consists of an up-front cash bid and a contingent security bid, which distorts investment and information acquisition relative to the first-best. We order securities in terms of their steepness: the payment of a steeper security is more sensitive to high project values. The agent’s incentives to acquire information that prevents either cost overruns (Type I errors) or false cancellations (Type II errors) decrease with the steepness of securities. The optimal limited-liability securities auction involves bidding debt that minimizes the distortions in the agent’s incentives to acquire performance-enhancing information. The model delivers implications on the practices commonly observed in oil lease auctions.     

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.     

A combinatorial auction to sell TV broadcasting rights in league sports

The centralized sale of TV broadcasting rights in league sports constitutes a cartel which in many European countries is allowed only if it complies with certain conditions set by competition authorities. Two of the most important conditions are: i) partial unbundling, i.e. the rights must be unbundled into several separate packages; and ii) the no-single-buyer rule, i.e. the packages must be sold to different broadcasters. This article shows how a combinatorial auction can be employed to sell broadcasting rights allocating them endogenously based on the broadcasters’ bids and, thus, without requiring the seller to pre-determine the packages of such rights. This feature can address various competition policy issues, including facilitating market entry and preventing coordination among bidders. Also, a combinatorial auction has the potential to achieve higher levels of allocative efficiency and higher revenue levels compared to auctions with pre-determined packages of broadcasting rights.     

On-line spectrum auctions in TV white spaces for supporting mobile services—A practical manual

This paper considers an approach for dynamic short-term spectrum leasing in TV white spaces (TVWS) using an on-line auction. The secondary spectrum market discussed here is organized by a central entity called the spectrum broker. The auctioned spectrum appears in blocks of available DVB-T channels with some transmit power constraints set-up to protect the primary users (DVB-T receivers). The bidders are institutional spectrum operators (telecommunication companies or service providers), operating in a given area. These players are characterized by heterogeneous demands concerning the spectrum bandwidth, the operation period with temporarily-exclusive rights for using the spectrum and the transmit power needed for successful transmission. Thus, the auctioned objects are non-identical and present different value for different players. Two auction models are proposed. The first one is the simultaneous auction in time domain and combinatorial in frequency and power dimension. The second proposed auction is fully combinatorial. Simulations results are also provided showing effectiveness of the analyzed auctions (high spectrum utilization ratio) and relation between the players’ satisfaction, their spectrum valuation and varying competition. Finally the guidelines concerning the spectrum auctions in TVWS for the policy makers are proposed.     

Raising rivals’ cost in multi-unit auctions

The objective many telecom regulators want to achieve when they decide to auction spectrum is that acquiring firms pay a market price (based on the opportunity cost principle). The simultaneous ascending auction may fail in this respect, as it provides bidders with an opportunity to engage in strategic demand reduction. This paper asks whether the combinatorial clock auction (CCA) fares better in this respect. We show that the answer to this question depends on the objectives bidders have. If bidders have only the slightest preference to raise rivals’ cost, they will use the opportunities the CCA provides them to engage in strategic demand expansion. This is even the case when the clock phase ends with excess demand.     

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.     

Horizontal mergers with synergies: Cash vs. profit-share auctions

We consider takeover bidding in a Cournot oligopoly when firms have private information concerning the synergy effect of merging with a takeover target and bidders can influence rivals' beliefs through their bids. We compare cash and profit-share auctions, first- and second-price, supplemented by entry fees. Since non-merged firms benefit from a merger if synergies are low, bidders are subject to a positive externality with positive probability; nevertheless, pooling does not occur. Unlike cash auctions, profit-share auctions are not revenue equivalent, and the second-price profit-share auction is more profitable than the other auctions.     

Penny auctions

This paper studies penny auctions, a novel auction format in which every bid increases the price by a small amount, but placing a bid is costly. Outcomes of real-life penny auctions are often surprising. Even when selling cash, the seller may obtain revenue that is much higher or lower than its nominal value, and losers in an auction sometimes pay much more than the winner. This paper characterizes all symmetric Markov-perfect equilibria of penny auctions and studies penny auctions’ properties. The results show that a high variance of outcomes is a natural property of the penny auction format and high revenues are inconsistent with rational risk-neutral participants.     

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.     

Auctions with bid credits and resale

Bid credits favoring subsets of bidders are routinely imposed on auctions and procurement auctions. These bid credits result in inefficient auction outcomes, which create pressure for post-auction resale or, in a procurement context, for subcontracting. We show that the presence of resale, in turn, affects bidding strategies in such a way that auction outcomes are more likely to be inefficient and less informative, making it harder for resale to correct inefficiencies. The negative effects of bid credits and resale can be mitigated through direct restrictions on resale, tight caps on credits, reserve prices, anonymous bidding, and enhanced competition.     

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.     

Asymmetric information in oil and gas lease auctions with a national company

This paper analyzes bidding behavior in oil and gas tract auctions in Brazil, where the main winner has been Petrobras, a national company. We test predictions from the theory of common-value, first-price, sealed-bid auctions with asymmetric information. The tests indicate that Petrobras was better informed about tract values than other bidders. We show that Petrobras bid higher than its competitors for more profitable tracts, and that it bid more frequently than its competitors for tracts being re-offered after receiving no bids in previous auctions. We also find evidence that Petrobras could bid competitively in a limited number of auctions only, and we discuss how our results can help to improve oil and gas tract auction rules.