Should auctioneers supply early information for prospective bidders?

Consider an auction in which potential bidders must sink an entry investment before learning their values, but where the auction designer can release information so that the bidders learn their values before entry. Such early information will induce screening of high-value bidders, and it will give rise to information rents and thereby a difference between the socially optimal auction and the auctioneer's preferred mechanism. Therefore, the auction designer has too weak an incentive to produce early information. Early information may increase or reduce equilibrium entry. If entry is sufficiently reduced, early information will harm the auction designer.     

Selective entry and auction design

This article examines how different auction designs perform when entry is endogenous and selective, by which we mean that bidders with higher values are more likely to enter. In a model where potential bidders are symmetric, we show that three alternative designs can significantly outperform the ‘standard auction with simultaneous and free entry’ when entry is selective. When bidders are asymmetric, we show that level of bid preference that maximizes a seller’s revenues is significantly affected by the degree of selection. We also describe recent empirical and econometric work that shows that the degree of selection can be identified and estimated using standard types of auction data.     

DESIGNING A MARKET STRUCTURE WHEN FIRMS COMPETE FOR THE RIGHT TO SERVE THE MARKET*

In many industries, a regulator designs an auction to select ex‐ante the firms that compete ex‐post on the product market. This paper considers the optimal market structure when firms incur sunk costs before entering the market and when the government is not able to regulate firms in the market. We prove that a free entry equilibrium results in an excessive entry when the entry costs are private information. Then, we consider an auction mechanism selecting the firms allowed to serve the market and show that the optimal number of licences results in the socially optimal market structure. When all the potential candidates are actual bidders, the optimal number of firms in the market increases with the number of candidates and decreases with the social cost of public funds. When the market size is small, as the net profit in the market decreases with the number of selected firms, entry is endogenous. As increasing competition in the market reduces competition for the market, the optimal structure is more concentrated than in the previous case.     

Entry and Bidding in Common and Private Value Auctions with an Unknown Number of Rivals

In many procurement auctions bidders do not know how many rivals they face at the time that they incur the cost of preparing their bids. We show in a theoretical model that regardless of whether the procurement is characterized by private or by common values an increase in the potential number of bidders may lead to higher procurement costs. This raises potential policy questions of whether and how entry should be encouraged or limited in public procurement auctions. We use evidence from auctions of construction contracts to estimate the effect of an increase in the pool of potential bidders on entry and auction prices when entry and bidding decisions are made sequentially with no knowledge of the number or identity of the actual competitors.     

Information disclosure in optimal auctions

This paper analyzes a situation in which the seller controls the accuracy of what potential buyers learn about their valuation of a good to be sold. This setting is related to many real situations such as home sales, antique auctions, and digital platforms such as Google and Facebook selling online advertising slots. Two important questions arise: what is the optimal selling mechanism, and what is the optimal disclosure policy of the seller. Under the assumption of private values, a simple auction with a reserve price is the optimal mechanism. What we show is that the amount of (costly) information provided increases with the number of potential bidders when using the optimal mechanism and is greater than when the object is always sold. Because information changes the distribution of a bidder’s expected valuations, the optimal reserve price also changes, so that the number of bidders (indirectly) affects the reserve price. We show that as the number of bidders increases, the optimal reserve price becomes more restrictive.     

Auctioneers sometimes prefer entry fees to extra bidders

We investigate a market thickness–market power tradeoff in an auction setting with endogenous entry. We find that charging admission fees can sometimes dominate the benefit of recruiting additional bidders, even though the fees themselves implicitly reduce competition at the auction stage. We also highlight that admission fees and reserve prices are different instruments in a setting with uncertainty over entry costs, and that optimal mechanisms in such settings may be more complex than simply setting a reserve price. Our results provide a counterpoint to the broad intuition of Bulow and Klemperer (1996) that market thickness often takes precedence over market power in auction design.     

Solving the Winner Determination Problem in a Divisible-Object Auction

In an auction of a divisible object, bidders' demand functions are often assumed to be nonincreasing, meaning that bidders are willing to pay less or the same price for every additional unit. Under this assumption, the optimal allocation that maximizes the auctioneer's revenue can be found using a greedy-based procedure. This article argues that situations may arise where a bidder may need to express her preferences through a nondecreasing demand function; when such a bidder is present in the auction, the greedy-based procedure does not guarantee the optimal allocation. Thus, this article proposes a mixed integer program that finds the optimal allocation in a divisible-object auction at which bidders submit their bids as arbitrary stepwise demand functions. The practical aspect of the mathematical program is presented by means of a simple yet illustrative example in a treasury bond auction setting. The results of the auctioneer's revenue are reported as a function of the number of bidders with nonincreasing and nondecreasing demand functions.     

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.     

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.     

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.     

Competition in a Dynamic Auction Market: Identification,Structural Estimation,and Market Efficiency

The model incorporates an infinite series of auctions for identical items (or close substitutes) ordered over time and bidders with unit demand. The participants of each auction are drawn from a dynamic pool, with losing bidders remaining in the pool of potential bidders. The number of bidders in each auction is unobservable. Risk‐neutral, forward‐looking bidders submit bids below valuation. A novel identification and estimation strategy is used to estimate the valuation distribution from an order statistic of the bids. The model is used to evaluate the efficiency of online auctions for a 60GB Apple iPod Video, compared to a perfect‐competition benchmark.     

Bidder Asymmetry in Infrastructure Procurement: Are There any Fringe Bidders?

Asymmetric auctions are among the most rapidly growing areas in the auction literature. The potential benefits from intensified auction competition could be enormous in the public procurement context. Entrant bidders are considered a key to enhance competition and break potential collusive arrangements among incumbent bidders. Asymmetric auction theory predicts that weak (fringe) bidders would bid more aggressively when they are faced with a strong (incumbent) opponent. Using data from official development projects, this paper shows that entrants actually submitted aggressive bids in the presence of incumbent(s) in the road sector and to a certain extent in the water sector. For electricity projects, the general competition effect is found to be particularly significant, but the entrant effect remains unclear. The results suggest that auctioneers should foster competition in public procurement, including fringe bidders, to contain public infrastructure investment costs.     

Position auctions with dynamic resizing

This paper analyzes mechanisms for selling advertising inventory in a position auction in which displaying less than the maximal number of ads means the ads that are shown can be dynamically resized and displayed more prominently. I characterize the optimal mechanism with and without dynamic resizing, and illustrate how the optimal reserve prices in a Vickrey–Clarke–Groves mechanism vary with the amount of dynamic resizing and the number of bidders.     

Auction hosting site pricing and market equilibrium with endogenous bidder and seller participation

This paper characterizes the payoffs and pricing policies of auction hosting sites when both the bidders’ and the sellers’ participation is endogenous. Sellers have heterogeneous opportunity costs and make a listing decision depending on the listing fee and the expected revenue from the sale. On the other side of the market, factors such as facility in navigating an interface layout and prior bidding experience result in bidder heterogeneity with respect to participation costs. Bidders participate if their ex ante expected payoff from searching the site exceeds their participation costs. The auction site earns revenue by setting positive listing fees, trading off the increased revenue per seller resulting from a higher fee with the revenue reduction from the loss of sellers. Though this appears to be a classic monopoly problem, there are important differences. The reduction in the number of sellers participating in a site has feedback effects, as it affects the number of bidders who choose to visit that site, which in turn again affects the attractiveness of the site to sellers, and thus further reduces seller participation. In this environment the monopolist’s ability to extract rents is severely limited, even if one considers rent extraction from the seller side of the market only. It is demonstrated that the inverse demand curve is flatter than the demand curve obtained from the (inverse) distribution of seller costs. Moreover, the inverse demand curve has at least one and possibly multiple flat segments, leading to discontinuities in the profit function. Thus, small changes in the environment can lead to large changes in the optimal fee and market participation.     

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.     

Optimal sequential auctions

Sequential sealed first-price and open descending-price procurement auctions are studied. We examine which procurement auction rule achieves the low procurement cost. We show that the answer to this policy question depends on whether the items are complements or substitutes. With substitutes, the first-price procurement auction is preferred, while with complements, the open descending-price procurement auction is preferred. We also illustrate the procurement cost minimizing auction and the auction rule preferred by the bidders. With substitutes, bidders prefer the open descending-price procurement auction, while with complements bidders prefer the first-price procurement auction.     

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.     

A Dynamic Model of Auctions with Buy‐It‐Now: Theory and Evidence

In the ascending‐price auctions with Yahoo!‐type buy‐it‐now (BIN), we characterize and derive the closed‐form solution for the optimal bidding strategy of the bidders and the optimal BIN price of the seller when they are both risk‐averse. The seller is shown to be strictly better off with the BIN option, while the bidders are better off only when their valuation is high enough. The theory also implies that the expected transaction price is higher in an auction with an optimal BIN price than one without a BIN option. This prediction is confirmed by our data collected from Taiwan's Yahoo! 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.     

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.