Optimal disclosure of costly information packages in auctions

In an independent, private values, second-price auction with entry fees we discuss the way in which a seller should optimally spread costly information among the bidders. We find that marginal gross revenues do not generally behave monotonically in total information release. In the two bidder case, essentially, any asymmetric allocation of information dominates the symmetric information allocation. Even the bidder who gets less information is willing to pay a higher entry fee for asymmetric information allocations than for the symmetric one. His entry fee coincides with that of the better informed bidder. Losses from allocating an amount of information non-optimally can be substantial.     

Selling shares to retail investors: auction vs. fixed price

We analyze the problem of selling shares of a divisible good to a large number of buyers when demand is uncertain. We characterize equilibria of two popular mechanisms, a fixed price mechanism and a uniform price auction, and compare the revenues. While in the auction truthful bidding is a dominant strategy, we find that bidders have an incentive to overstate their demand in the fixed price mechanism. For some parameter values we find that the fixed price mechanism outperforms the auction.     

Auctions with asymmetric common-values: The first-price format

We study the performance of the first-price format in auctions with asymmetric common-values. We show that, contrary to the result for second-price auctions, a small advantage for one player translates only to small changes in bidders’ strategies, and the equilibrium remains close to the first-price equilibrium of the original game. We characterize the equilibrium bidding strategies and their behavior as the degree of asymmetry increases. Finally, we compare the revenues at the optimal auction, the first-price auction and the second-price auction.     

Selling goods of unknown quality: forward versus spot auctions

We consider an environment where the sale can take place so early that both the seller and potential buyers have the same uncertainty about the quality of the good. We present a simple model that allows the seller to offer the good for sale before or after this uncertainty is resolved, namely via forward auction or spot auction, respectively. We solve for the equilibrium of these two auctions and then compare the resulting expected revenues. We also consider the revenue implications of insurance in forward auctions.     

Who else is bidding? The Pareto optimality of disclosing bidder identities

This paper examines whether the seller of an object should reveal the identities of the participating bidders before bids become due. It is shown that when bidders experience identity dependent externalities and auction participation is exogenous, then for a large class of standard auction mechanisms, a policy of revelation serves to realize a higher surplus because it improves the accuracy of each bidder's estimate of her ex-post willingness-to-pay, and therefore changes the auction allocation in a more ex-post efficient manner. Furthermore, it is shown that the policy of revelation increases both the expected seller revenues as well as ex-ante expected bidder payoffs. Received: 4 February 2000 / Accepted: 15 November 2000 An earlier version of this paper had the title 'Disclosure of Bidder Identities'. I thank an anonymous referee and an Associate Editor for suggestions that improved the paper. I also acknowledge comments made by participants of the Auctions session during the North American Winter Meetings of the Econometric Society 2001 held in New Orleans. I remain solely responsible for any errors.     

Bundling and the Reduction of the Winner's Curse

The paper studies the effects of bundling on the bidding strategies and seller revenues in auctions when the bidders have common values for the objects. Bundling of objects before the auction reduces the problem of the winner's curse, and the bidders bid more aggressively. This does not mean that a bundled auction is always better for the seller's revenue. Indeed, there is another effect that makes the bundled auction preferable (from the seller's standpoint) if and only if the number of bidders is small. While this is the only effect present in an independent-private-values model, it does not vanish when bidders have pure common values for the objects. The paper concludes that a bundled auction is unambiguously better for the seller than separate auctions when the number of bidders is small.     

Sealed bid auctions versus ascending bid auctions: an experimental study

This paper considers two multi-item auction formats (ascending and sealed bid) which both identify the minimum Walrasian equilibrium prices and where truthful preference revelation constitutes an equilibrium. Even though these auction formats share many theoretical properties, there are behavioral aspects that are not easily captured. To explore this issue in more detail, this paper experimentally investigates what role the design of the auction format has for its outcome. The results suggest that the sealed bid mechanism performs weakly better in all of the investigated measures (consistent reporting, efficiency etc.). In addition, we find that the performance of the ascending auction is increasing over time, whereas the sealed bid auction shows no such tendency.     

Identification and estimation in sequential,asymmetric, English auctions

Within the independent private-values paradigm, we derive the data-generating process of the winning bid for the last unit sold at multi-unit, sequential, asymmetric, English auctions. When the identity of the winner and the number of units won by each bidder in previous stages of the auction are observed, we demonstrate nonparametric identification and propose a semi-nonparametric estimation strategy based on orthogonal polynomials. We apply our estimator to daily data from fish auctions in Denmark. For single-unit supply, we use our estimates to compare the revenues a seller could expect to earn were a Dutch auction employed instead.     

Licensing a new product: Fee vs. royalty licensing with unionized labor market

In an economy with unionized labor market, we show that the payoff of an outside innovator may be higher under royalty licensing than under fixed-fee licensing and auction, if bargaining power of the labor union is sufficiently high. This result holds for both decentralized and centralized bargaining. It follows from our analysis that a combination of fixed-fee and output royalty can be preferable to the innovator compared to both royalty only licensing and auction (or fixed-fee licensing). We discuss the implications of positive opportunity costs of the licensees.     

Does divestment matter for firm performance?: Evidence from the Indian experience

We employ data on federal government-owned public enterprises since the 1980s that encompass the partial privatization program to examine its impact on a gamut of performance measures. The analysis indicates that fully government-owned firms are significantly less profitable than partially privatized ones. The evidence also indicates that while the improvements in profitability largely occur during the one to three years just before privatization, the progress in terms of leverage and employment are typically spread out over a much longer period. Finally, the results indicate that the auction method of privatization maximizes government revenues, after controlling for the state of economic activity and other macroeconomic factors.     

Revenue comparison of discrete private-value auctions via weak dominance

We employ weak dominance to analyze both first-price and second-price auctions under the discrete private-value setting. We provide a condition under which the expected revenue from second-price auction is higher than that of first-price auction. We also provide implications for large auctions, including the “virtual” revenue equivalence.     

First-price auctions where one of the bidders’ valuations is common knowledge

We analyze a private and independent valuation first-price auction under the assumption that one of the bidders’ valuations is common knowledge. We show that no pure strategy equilibrium exists and we characterize a mixed strategy equilibrium in which the bidder whose valuation is common knowledge randomizes her bid while the other bidders play pure strategies. In an example with the uniform distribution, we compare the expected profits of seller and buyers in this auction with those in a standard symmetric private valuation model.     

Revenue and efficiency ranking in large multi-unit and bundle auctions

Should a seller use a multi-unit auction for identical and indivisible units of a good? We show, under specific assumptions on the value distributions of the bidders, that in large markets the multi-unit format generates higher (lower) expected revenue compared to the bundled format when the supply is relatively scarce (abundant). In contrast, a large market is shown to be always more efficient under the multi-unit format than its bundled counterpart. Thus under these assumptions a profit maximizing seller is expected to choose the relatively efficient multi-unit format when supply is scarce.     

Trading places: An experimental comparison of reallocation mechanisms for priority queuing

In a laboratory experiment, we compare two auction mechanisms that are designed to improve a queue's efficiency by allowing customers to trade places. In the server‐initiated auction, the server, when idle, sells the right to be served next to the highest bidding customer in the queue and distributes the proceeds among the remaining customers. In the customer‐initiated auction, new arrivals can sequentially trade places with queued customers. We use two novel experimental protocols to examine the behavioral properties of both auction mechanisms. We find that both auction mechanisms improve a queue's efficiency on average and that both perform equally well in terms of efficiency gain. We also find evidence of the sunk‐cost effect but not of the endowment effect. Participants indicated that they found the server‐initiated auction a fairer mechanism than the customer‐initiated auction. When voting between the two auctions, the participants tended to favor the server‐initiated auction.     

Behavioral mechanism design: evidence from the modified first-price auctions

This paper tests the behavioral equivalence of a class of strategically-equivalent mechanisms that also do not differ in terms of their procedures. In a private value setting, we introduce a family of mechanisms, so-called Mechanism (α), that generalizes the standard first-price sealed-bid auction. In Mechanism (α), buyers are asked to submit a value which will then be multiplied by α to calculate the bids in the auction. When α =?1, Mechanism (α) is the standard first-price sealed-bid auction. We show that for any α, calculated bids should be identical across mechanisms. We conduct a laboratory experiment to test the behavioral equivalence of this class of mechanisms under different values of α. Even though the procedure and environment do not change across auctions, we do not observe the same bidding behavior across these strategically-equivalent mechanisms. Our research can inform mechanism design literature with respect to the design of optimal mechanisms.     

Revenue and efficiency effects of resale in first-price auctions

We study first-price auctions in a model with asymmetric, independent private values. Asymmetries lead to inefficient allocations, thereby creating a motive for resale after the auction is over. In our model, resale takes place via monopoly pricing—the winner of the auction makes a take-it-or-leave-it offer to the loser. Our goal is to compare equilibria of the first-price auction without resale (FPA) with those of the first-price auction with resale (FPAR). For the three major families of distributions for which equilibria of the FPA are available in closed form, we show that resale possibilities increase the revenue of the original seller. We also show by example that, somewhat paradoxically, resale may actually decrease efficiency.     

Auction Theory: A Guide to the Literature

This paper provides an elementary, non-technical, survey of auction theory, by introducing and describing some of the critical papers in the subject. (The most important of these are reproduced in a companion book, The Economic Theory of Auctions , Paul Klemperer (ed.), Edward Elgar (pub.), forthcoming.); We begin with the most fundamental concepts, and then introduce the basic analysis of optimal auctions, the revenue equivalence theorem, and marginal revenues. Subsequent sections address risk-aversion, affiliation, asymmetries, entry, collusion, multi-unit auctions, double auctions, royalties, incentive contracts, and other topics. Appendices contain technical details, some simple worked examples, and a bibliography for each section.     

Auctions with resale and bargaining power

We show that when the weak bidder’s bargaining power in the resale market is weakened, the auctioneer’s revenue from the first-price auction with resale is lower. Using the idea of Coase Theorem, we show that when the resale market is a sequential bargaining model with no commitment, the auctioneer’s revenue is substantially reduced, and the ranking is the opposite of Hafalir and Krishna (2009). We establish a version of the Coase Theorem in the context of the auctions with resale. When Coase Theorem holds, we show that the revenue of the auction with resale is lower than the revenue of the same auction without resale. We also provide the existence and uniqueness of equilibrium for our model of auctions with resale.     

Empirical implementation of nonparametric first-price auction models

Nonparametric estimators provide a flexible means of uncovering salient features of auction data. Although these estimators are popular in the literature, many key features necessary for proper implementation have yet to be uncovered. Here we provide several suggestions for nonparametric estimation of first-price auction models. Specifically, we show how to impose monotonicity of the equilibrium bidding strategy; a key property of structural auction models not guaranteed in standard nonparametric estimation. We further develop methods for automatic bandwidth selection. Finally, we discuss how to impose monotonicity in auctions with differing numbers of bidders, reserve prices, and auction-specific characteristics. Finite sample performance is examined using simulated data as well as experimental auction data.     

拆分招标的供应商数量研究

许多企业在采购时,常常将整笔业务拆分为两个合同:较大的第一合同和较小的第二合同,通过分批二级价格封闭式招标来选择不同的供应商供货。本文通过建立分批招标模型分析了供应商的投标策略和买方的采购策略,得出了当参加第一合同竞标的供应商数目和第二合同新引入的供应商数目满足一个不等式时,拆分招标的采购成本小于整体招标的采购成本,并且指出了拆分比例对拆分招标的采购成本的影响。