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.     

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.     

Bids for the UMTS system: An empirical evaluation of the Italian case

The aim of this paper is to analyze the licensing of the telecommunication spectrum as a public good and the search for equilibrium prices through bilateral bargaining and multilateral bidding. It develops a general model of price setting under dynamic uncertainty and applies it to the Italian auction for Universal Mobile Telecommunications System (UMTS). The empirical application shows that the model can be used both to determine the base price as well as other desirable characteristics to organize an auction and to better understand, after the auction is closed, what really happened in terms of the critical factors involved. After recalling some basic concepts on spectrum rights and reviewing the general experience with UMTS auctions in Europe, the formal model and its application are presented. The results confirm certain views on the Italian auction, which are widely shared but were never tested before, namely that: (i) given the initial price, the number of licenses offered for the bidding should have been fewer, or alternatively, (ii) given the number of licenses, the base price should have been higher and (iii) the main bidder underpaid for the license. The model also allows us to quantify the bidders’ reservation price and the State and the bidders’ implicit bargaining powers.     

Economics at the FCC, 2011–2012: Spectrum Incentive Auctions, Universal Service and Intercarrier Compensation Reform, and Mergers

The past year in economics at the Federal Communications Commission covered a broad range of topics in telecommunications policy. This paper highlights the economic issues that are addressed in the following key areas: spectrum management, universal service and intercarrier compensation reform, and merger review. In spectrum management, the FCC received congressional authority to implement an ??incentive auction?? to repurpose television broadcasting spectrum into flexible-use licenses that will be suitable for mobile wireless service providers. We discuss some important issues in designing the auction. We next address some aspects of the FCC??s comprehensive reforms of intercarrier compensation, which mainly involves call termination rates, and of universal service. Finally, we discuss the economic analysis of two major mergers: AT&T-T-Mobile, which the FCC staff recommended should be referred to an administrative hearing, and Level 3/Global Crossing, which was cleared with no conditions.     

Why auction the spectrum?

Of the alternative spectrum allocation methods — administrative process, lottery, first come first served, and auction — economic theory, as well as various countries' experiences, show that auctioning works best. As well as raising revenue, an auction assigns licenses to the firms best able to use them. Also the auction can be designed to advance public policy goals such as avoiding monopoly and directing licenses to minority-owned firms.     

Spectrum limits and competition in mobile markets: the role of licence fees

The paper discusses the impact of scarcity of frequency spectrum on the performance of the mobile telecommunications industry. An oligopoly model with endogenous sunk costs illustrates the trade off between ex ante extraction of oligopoly rents and market entry of firms. The determination of the licence fee through an auction provides scope for setting market structure endogenously: the higher the licence fee, the lower the number of firms sustained by the market. High licence fees may be a signal for post-entry collusion. Differences across national regulatory frameworks with respect to the conditions for allocation of spectrum licenses may induce problems of fair competition in an integrated market.     

Barriers to Entry and Competitive Behavior: Evidence from Reforms of Cable Franchising Regulations

Between 2005 and 2008, nineteen of the fifty states of the U.S. reformed the franchising process for cable television, significantly easing entry into local markets. Using a difference‐in‐differences approach that exploits the staggered introduction of reforms, we find that prices for ‘Basic’ service declined systematically by about 5.5 to 6.8 per cent following the reforms, but we find no statistically significant effect on average price for the more popular ‘Expanded Basic’ service. We also find that the reforms led to increased actual entry in reformed states, by about 11.6% relative to non‐reformed states. Our analysis shows that the decline in price for ‘Basic’ service holds for markets that did not experience actual entry, consistent with limit pricing by incumbents. To control for potential state‐level shocks correlated with the reforms, we undertake a sample‐split test that finds larger declines in prices for both ‘Basic’ and ‘Expanded Basic’ services in local markets which faced a greater threat of entry (because they were close to a prominent second entrant). Our results are consistent with limit pricing models that predict incumbents respond to increased threat of entry, and suggest that the reforms facilitated entry and modestly benefited consumers in reformed states.     

Spectrum auction design: Simple auctions for complex sales

Following the successful PCS Auction conducted by the US Federal Communications Commission in 1994, auctions have replaced traditional ways of allocating valuable radio spectrum. Spectrum auctions have raised hundreds of billion dollars worldwide and have become a role model for market-based approaches in the public and private sectors. The PCS spectrum was sold via a simultaneous multi-round auction, which forces bidders to compete for licenses individually even though they typically value certain combinations. This exposes bidders to risk when they bid aggressively for a desired combination but end up winning an inferior subset. Foreseeing this possibility, bidders may act cautiously with adverse effects for revenue and efficiency. Combinatorial auctions allow for bids on combinations of licenses and thus hold the promise of improved performance. Recently, a number of countries worldwide have switched to the combinatorial clock auction to sell spectrum. This two-stage auction uses a core-selecting payment rule. The number of possible packages a bidder can submit grows exponentially with the number of licenses, which adds complexity to the auction. For larger auctions with dozens of licenses bidders cannot be expected to reveal all their valuations during such an auction. We analyze the impact of two main design choices on efficiency and revenue: simple “compact” bid languages versus complex “fully expressive” bid languages and simple “pay-as-bid” payment rules versus complex “core-selecting” payment rules. We consider these design choices both for ascending and sealed-bid formats. We find that simplicity of the bid language has a substantial positive impact on the auction?s efficiency and simplicity of the payment rule has as a substantial positive impact on the auction?s revenue. The currently popular combinatorial clock auction, which uses a complex bid language and payment rule, achieves the lowest efficiency and revenue among all treatment combinations.     

Creating Growth in New Markets: A Simultaneous Model of Firm Entry and Price*

Sales in a new market generally follow a hockey‐stick pattern: After commercialization, sales are very low for some time before there is a dramatic takeoff in growth. Reported sales takeoffs across products vary widely from a few years to several decades. Prior research identifies new firm entry or price declines as key factors that relate to the timing of a sales takeoff in new markets. However, this literature considers these variables to be exogenous and only finds unilateral effects. In the present article, new firm entry and price declines are modeled as being endogenous. Thus, the simultaneous relationship between price declines and firm entry in the introductory period of new markets when industry sales are negligible is studied. Using a sample of new markets formed in the United States during the last 135 years, strong support for a simultaneous model of price and firm entry is found: Price decreases relate to the competitive pressures associated with firm entry, and, in turn, firm entry is lower in new markets with rapidly falling prices. Furthermore, a key driver of firm entry during the early years of a new market involves the level of patent activity, and a key driver of price decreases is the presence of large firms. In contrast to the recommendations from other research, these results indicate that rapid price declines may further delay sales takeoff in industries by dampening new firm entry. Instead, rapid sales takeoffs in new markets come from encouraging greater innovative activity and the entry of large firms.     

Price Controls and Market Structure: Evidence from Gasoline Retail Markets

In this paper we study the effect of price floor regulations on the organization and performance of markets. The standard interpretation of the effects of these policies is concerned with short‐run market distortions associated with excess supply. Since price controls prevent markets from clearing, they lead to higher prices. While this analysis may be correct in the short‐run, it does not consider the dynamic equilibrium consequences of price controls. We demonstrate that price floor regulations can have important long‐run effects on the the structure of markets by crowding them and creating endogenous barriers to entry for low‐cost retailers. Moreover, we show that these factors can indirectly lower productivity and possibly even prices. We test this in the context of an actual regulation imposed in the retail gasoline market in the Canadian province of Québec and show that the policy led to more competition between smaller/less efficient stations. This resulted in lowered sales, and, despite the reduction in efficiency, did not increase prices.     

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.     

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.     

The value of 1800 MHz and 2100 MHz spectrums in India and implications for auction design

The sequence of events leading up to the upcoming auction of 1800 MHz spectrum in India has led to the auctions acquiring an extraordinary significance for the future of the Indian mobile industry. A key feature of the auction design proposed by the regulator TRAI is the benchmarking of the reserve price of 1800 MHz to the price of 2100 – 3G spectrum revealed in the 2010 auction. In the context of the low number of LTE devices available and the fragmentation in the 1800 MHz band, this paper proposes reducing the duration of spectrum holding to ten years (from the current level of twenty years), and calibrating the reserve price of 1800 MHz with its value with GSM deployment. An economic model is used to compute the value of startup and incremental 1800 MHz spectrum. The estimated values are shown to differ from the value of 2100 MHz spectrum at a pan-India level and also in their distribution across circles. A new set of reserve prices are computed based on the estimation. The estimated values are also shown to be close to the AGR-adjusted price revealed in the 2001 auction. A reserve price based on the 2001 auction is also provided. Concomitant features of the auction are suggested to give coherence to the auction design.     

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.     

Joint pricing and procurement of fashion products in the existence of clearance markets

This paper focuses on the joint pricing and procurement of fashion products in the existence of clearance markets. It is assumed that the expected regular season demand is a linear decreasing function of the price and the end of period excess inventory is sold at a known discounted price in a clearance market where the demand is a random variable that follows a general distribution. It is shown that the expected profit function is unimodal and the optimal procurement quantity and price can be found from the first order conditions. Existence of a clearance market increases the profit, price, and the procurement quantity. In order to prove this, the optimal procurement and pricing policy of a price-setting retailer who does not have a clearance market is provided. As opposed to the literature, it is shown that the expected profit function of this problem is unimodal as well. A numerical study demonstrating the magnitude of the increase in profit, procurement quantity, and price is reported.     

The Welfare Losses From Price-Matching PolicIes

Several recent papers argue that price-matching policies raise equilibrium prices. We add to this literature by considering potential welfare losses, which have two sources: Harberger triangles from high prices and Posner rectangles from over-entry. We compare price-matching markets with entry to monopoly and price-matching markets without entry, and find that price matching with entry creates greater welfare losses than monopoly in markets with a low ratio of fixed to marginal cost. We illustrate this result using parameters from the US wholesale gasoline and air travel markets, and relate our model to price matching among NASDAQ market makers.     

Uniform Pricing as a Barrier to Entry

This paper considers an entry game in which an incumbent firm operates in a number of markets and a potential entrant can enter multiple or all of the markets. While price discrimination has usually been thought of as a barrier to entry, in our model it is not and instead, charging a uniform price across the markets can discourage entry. Partial entry occurs when the two firms' products are highly substitutable. In this case, uniform pricing raises the profits of both the incumbent and the entrant but reduces consumer and total welfare relative to price discrimination.     

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.     

Entrepreneurial failure: Statistical and psychological explanations

Research summary : Entrepreneurial start‐ups suffer high rates of business failure. Previous research on entrepreneurial failure has focused on two kinds of explanations: statistical and psychological. Statistical explanations attribute excess entry to random errors made by boundedly rational entrepreneurs attempting to estimate business opportunities in risky markets. Psychological explanations focus on entrepreneurial overconfidence and competition neglect. These explanations emerged independently and have not been tested or compared in the same study. In this experimental study, we distinguish entrepreneurial markets from other types of markets and test statistical and psychological hypotheses for all market types. We find that excess entry is significantly greater in small, risky markets than in other market types, and that confidence levels account for excess entry, over and above the effects of unbiased statistical errors. Managerial summary : How can we explain the fact that most entrepreneurial ventures fail within five years? Market risk, inadequate capital and inexperienced management certainly play a role. However, from an economic point of view, it seems odd that inexperienced, under‐funded people continue to engage in risky behavior that is widely known to fail. We conducted experiments that tested two explanations of entrepreneurial failure. The first explanation – the statistical hypothesis – argues that entrepreneurship involves high uncertainty, so random errors are inevitable and can produce excess entry (or under‐entry). The second explanation – the psychological hypothesis – says that entrepreneurs' mistakes are not random but skewed heavily toward excess entry; hence, their decisions are distorted by psychological factors such as overconfidence. Our experiments found support for both of these explanations. Random errors under uncertainty explained 60% of the excess entry in our experiments. However, the overconfidence hypothesis correctly predicted that excess entry exceeds under‐entry, and our psychological measures of overconfidence found support in the data. We also found that the markets that most often attract entrepreneurial investment – emerging markets with high uncertainty – were the markets most conducive to excess entry, due to a combination of psychological and market factors. Hence, we conclude that potential entrepreneurs should pay less attention to their own abilities and aspirations, and more attention to the external realities of competition in the marketplace. Copyright © 2015 John Wiley & Sons, Ltd.     

Selling spectrum in the presence of shared networks: The case of the Israeli 5G auction

The Israeli 5G auction that took place in August 2020 used the Combinatorial Clock Auction mechanism adapted to the Israeli market. We review the challenges that the Israeli Ministry of Communication faced while designing the auction and discuss the strategic consequences of the design. We highlight the special characteristics of the Israeli telecommunication market and, in particular, the fact that most operators share their antenna networks and their spectrum assets with other auction participants, but spectrum licenses need to be purchased by each operator individually. The Israeli Ministry of Communication required operators sharing the same networks to submit joint bids in the auction. We discuss the implications of this decision on the efficiency of the auction, and the difficulties it caused the bidders. We discuss the effect of further incentive schemes that accompanied the auction, and we also describe some signaling opportunities that emerged during the auction process.