First-price equilibrium and revenue equivalence in a sequential procurement auction model

We analyze first-price equilibrium bidding behavior of capacity-constrained firms in a sequence of two procurement auctions. In the model, firms with a cost advantage in completing the project auctioned off at the end of the sequence may enter the unfavored first auction hoping to lose it. Equilibrium bidding in both auctions deviates from the standard Symmetric Independent Private Value auction model due to opportunity costs of bidding created by possibly employed capacity. For this sequential auction model with non-identical objects, we show that revenue equivalence applies.     

Sequential procurement auctions with risk-averse suppliers

We compare two procurement mechanisms, bundling and unbundling, in a two-stage auction model with risk-averse suppliers. The mechanisms differ in that the two tasks of investment and production are procured through a single auction or two sequential auctions. Suppliers’ production costs are affected by two risk factors, aggregate risk and idiosyncratic risk, as well as by the cost-reducing investment. We show that the bundling mechanism is optimal for a buyer and socially desirable if the aggregate risk is below certain thresholds. The result may not hold true for idiosyncratic risk.     

Auction fever: Rising revenue in second-price auction formats

The prevalent term “auction fever” visualizes that ascending auctions – inconsistent with theory – are likely to provoke higher bids than one-shot auctions. To explore and isolate causes of auction fever experimentally, we design four different strategy-proof auction formats and order these according to expected rising bids based on pseudo-endowment effect arguments (psychological ownership and disparity between willingness to pay and willingness to accept). Observed revenues in the experiment in the four formats rank as expected if bidders have private uncertain values (the private information of a bidder is the distribution of her value). A control treatment supports our view that the traditional private certain values approach prevents auction fever in the laboratory. Another control treatment with a procurement auction relates the auction fever bids to bids in a one-shot auction with real endowments. We conclude that, when bidders are uncertain about their valuations, auctions that foster pseudo-endowment may raise bids and revenues.     

Multi-attribute procurement auctions with risk averse suppliers

We analyze multi-attribute procurement auctions with risk-averse suppliers. As the number of suppliers increases or the suppliers become more risk-averse, the equilibrium bidding price decreases under the first-score auction but remains the same under the second-score auction. A buyer prefers the first-score auction.     

Second chance offers versus sequential auctions: theory and behavior

Second chance offers in online marketplaces involve a seller conducting an auction for a single object and then using information from the auction to offer a losing bidder a take-it-or-leave-it price for another unit. We theoretically and experimentally investigate this practice and compare it to two sequential auctions. We show that the equilibrium bidding strategy in the second chance offer mechanism only exists in mixed strategies, and we observe that this mechanism generates more profit for the auctioneer than two sequential auctions. We also observe virtually no rejections of profitable offers in the ultimatum bargaining stage.      

Quality cut-offs in procurement auctions

Recently the Government of India used procurement auction mechanisms with endogenously determined minimum quality. We find these auctions have no equilibrium in continuous symmetric monotonic pure strategies. This may substantiate the use of auction mechanisms with exogenously determined minimum quality.     

Entry decisions and bidding behavior in sequential first-price procurement auctions: An experimental study

Though many real life auctions are run independently of each other, from the bidders' point of view they often form sequences of auctions. We investigate how behavior responds to the additional incentives that are present in such auction sequences. Comparing subjects' decisions in single first-price procurement auctions with their decisions in a game consisting of two subsequent first-price procurement auctions, we find that, in line with the theoretical prediction, entry and bidding behavior is crucially affected by the opportunity cost of early bid submission. Though, entry decisions and average bids in the auction sequence systematically deviate from the perfect Bayesian equilibrium prediction. While the nature of the opponent (human being or computer) has no significant effect on these findings, giving subjects additional feedback on winners and prices seems to reduce the deviations from the equilibrium prediction.     

Bottom-Fishing and Declining Prices in Sequential Auctions

We study standard sequential auctions, in which the seller chooses the order of sale, and right-to-choose auctions, in which the winner chooses her preferred item from the remaining items. Empirically, prices in sequential auctions tend to decline, and sellers often hold right-to-choose auctions. In our setting, the right-to-choose format guarantees declining prices and efficiency. In the standard auction, a buyer may submit a low bid for the first item ("bottom-fishing") despite its being her less-preferred item. An example shows that the standard auction has declining prices, is inefficient, and gives lower expected revenue than the right-to-choose. Journal of Economic Literature Classification Numbers: D44, D82.     

PROCUREMENT EXPERIMENTS WITH UNKNOWN COSTS OF QUALITY

Abstract.  We experimentally examine the efficiency and profitability of two different procurement auctions allowing for quality differences across products. We compare the vector auction with more competition on the sellers' side with a half-auction, reflecting actual procurement practice – an auction for the cheaper variant and bargaining with the contractor about the additional cost of the better quality variant. Our main hypothesis, that buyers are better off when using the vector auction instead of the half-auction, is confirmed when quality differences of variants are large and the uncertainty of the cost difference is also large.     

COMPARING PUBLIC PROCUREMENT AUCTIONS

This article contrasts two auction formats often used in public procurement: first price auctions with ex post screening of bid responsiveness and average bid auctions (ABAs), in which the bidder closest to the average bid wins. The equilibrium analysis reveals that their ranking is ambiguous in terms of revenues, but the ABA is typically less efficient. Using a data set of Italian public procurement auctions run alternately under the two formats, a structural model of bidding is estimated for the subsample of first price auctions and used to quantify the efficiency loss under counterfactual ABAs.     

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.     

BIDS AND COSTS IN COMBINATORIAL AND NONCOMBINATORIAL PROCUREMENT AUCTIONS—EVIDENCE FROM PROCUREMENT OF PUBLIC CLEANING CONTRACTS

Combinatorial procurement auctions enable suppliers to pass their potential cost synergies on to the procuring entity and may therefore lead to lower costs and enhance efficiency. However, bidders might find it profitable to inflate their stand‐alone bids in order to favor their package bids. Using data from standard and combinatorial procurement auctions, we find that bids on individual contracts in simultaneous standard auctions without the option to submit package bids are significantly lower than the corresponding stand‐alone bids in combinatorial auctions. Further, no significant difference in procurer's cost as explained by auction format is found. (JEL D44, H57, L15)     

Temporary partnership and subcontracting: Pre- vs. post- award outsourcing in public procurement

We empirically compare bids (i.e. prices) from temporary partnerships (TPs), that outsource part of the contract before the auction, and firms that outsource afterwards. Using a comprehensive dataset on procurement auctions for public works in Valle d’Aosta (Italy), we find that the timing of outsourcing affects the bids and the probability of winning the auction. Specifically, TPs bid closer to the payoff maximizing offer and are more likely to win. Hence, the price paid by the public buyer is lower. These results are supported by a simple theoretical setting showing that, by pre-committing to a TP, suppliers have a lower risk of being “held up” by subcontractors than firms that outsource part of the work after the bidding phase. Our results show the advantage for TPs of freely choosing partners, size and boundaries before the auction, highlighting their potential in fostering the effective participation in public procurement procedures of Small and Medium-sized Enterprises (SMEs).     

Comparing competition and collusion: a numerical approach

Summary. Collusion is a serious problem in many procurement auctions. In this research, I study a model of first price sealed bid procurement auctions with asymmetric bidders. I demonstrate that the equilibrium to the model is unique and describe three algorithms that can be used to compute the inverse equilibrium bid functions. I then use the computational algorithms to compare competitive and collusive bidding. The algorithms are useful for structural estimation of auction models and for assessing the damages from bid-rigging. Received: January 14, 2000; revised version: February 28, 2001     

Sequential vs. single-round uniform-price auctions

We study sequential and single-round uniform-price auctions with affiliated values. We derive symmetric equilibrium for the auction in which k₁ objects are sold in the first round and k₂ in the second round, with and without revelation of the first-round winning bids. We demonstrate that auctioning objects in sequence generates a lowballing effect that reduces the first-round price. Total revenue is greater in a single-round, uniform auction for k=k₁+k₂ objects than in a sequential uniform auction with no bid announcement. When the first-round winning bids are announced, we also identify a positive informational effect on the second-round price. Total expected revenue in a sequential uniform auction with winning-bids announcement may be greater or smaller than in a single-round uniform auction, depending on the model's parameters.     

Time is money: The effect of clock speed on seller’s revenue in Dutch auctions

We study the role of timing in auctions under the premise that time is a valuable resource. When one object is for sale, Dutch and first-price sealed bid auctions are strategically equivalent in standard models, and therefore, they should yield the same revenue for the auctioneer. We study Dutch and first-price sealed bid auctions in the laboratory, with a specific emphasis on the speed of the clock in the Dutch auction. At fast clock speeds, revenue in the Dutch auction is significantly lower than it is in the sealed bid auction. When the clock is sufficiently slow, however, revenue in the Dutch auction is higher than the revenue in the sealed bid auction. We develop and test a simple model of auctions with impatient bidders that is consistent with these laboratory findings.

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Electronic Supplementary Material  The online version of this article () contains supplementary material, which is available to authorized users.      

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.     

Auctions with endogenous participation and an uncertain number of bidders: experimental evidence

Attracting bidders to an auction is a key factor in determining revenue. We experimentally investigate entry and bidding behavior in first-price and English clock auctions to determine the revenue implications of entry. Potential bidders observe their value and then decide whether or not to incur a cost to enter. We also vary whether or not bidders are informed regarding the number of entrants prior to placing their bids. Revenue equivalence is predicted in all four environments. We find that, regardless of whether or not bidders are informed, first-price auctions generate more revenue than English clock auctions. Within a given auction format, the effect of informing bidders differs. In first-price auctions, revenue is higher when bidders are informed, while the opposite is true in English clock auctions. The optimal choice for an auction designer who wishes to maximize revenue is a first-price auction with uninformed bidders.     

A STUDY OF PARTICIPATION IN DYNAMIC AUCTIONS

This article studies repeated entry and bidding decisions in construction procurement auctions. I find evidence in the data that suggests the presence of significant cost savings from entering contracts of the same type. I estimate a dynamic auction model to measure the gains to experience for bidders. I allow for endogenous entry, synergies in entry, and unobserved auction heterogeneity. I find that a bidder can halve entry costs by focusing on specific contract types. An auctioneer can increase competition by awarding contracts of the same type in sequence. As a result, procurement costs for each contract can be lowered by 7%, a saving of $110,000.     

Finding and retaining the dominant strategy: The second-price, English and ‘sealed offer’ English auctions

Using experiments in a procurement setting, this study examined the performance abilities of three auctions: the second-price, English, and a new ‘sealed offer’ English. Additionally, to see if dominant strategy learning would be transferred, after fifteen periods with one of the three auctions, all subjects completed a second 15 periods with the second-price auction. The English auction performed best overall. However, only limited learning was found to occur, with some subjects that had adopted the dominant strategy in the English switching in the second-price. Lessons from the new mechanism transferred better, but initial learning of the dominant strategy was slower.