Revenue ranking of first-price auctions with resale

When the price setter in post-auction resale is chosen according to exogenous probabilities, Hafalir and Krishna (2008) [2] showed that the first-price auction brings more expected revenues than the second-price auction with truth-bidding bidders. We complete their revenue ranking by proving that the first-price auction produces higher expected revenues the higher the probability the auction winner sets the resale price.     

An Optimal Ad Valorem Tax/Subsidy with an Output-Based Refunded Emission Payment for Permits Auction in an Oligopoly Market

In this paper, we explores a hybrid mechanism of output-based refunded emission payment and an ad valorem tax/subsidy to remove the distortions emerging in the permit auction market and the product market. We find that first best outcomes can be achieved under such a hybrid mechanism. A clearing price equal to a Pigouvian tax will endogenously result in the permit auction market. Moreover, we extend the analysis to take into consideration the investment in abatement technology.     

Determining damages from the operation of bidding rings: An analysis of the post-auction `knockout' sale

Summary. This paper studies ‘knockout’ auctions, typically organized by bidding rings, in which the winning bidder makes side-payments to all losing bidders. These side-payments provide an incentive for the ring members to bid higher than they would have in an identical public auction. As a consequence, neither the realized price nor the total payments of the winner are unbiased estimates of the item's price in the absence of collusion. This paper evaluates the extent of this overestimate in the independent private values case, for first and second price post-auction knockouts. Bids are not independent of the sharing rule but transfers from the winning bidder are. Further, bidder payoffs are independent of both the auction format and the sharing rule. The “overbidding” in the knockout is increasing with the dispersion of bidder valuations and of significant empirical relevance. This paper's results can be used to obtain an unbiased assessment of the damages inflicted on the seller. Received: May 1, 1996; revised version: September 7, 2000     

Auctions with Financial Externalities

We study auctions with financial externalities, i.e., auctions in which losers care about how much the winner pays. In the first-price auction, larger financial externalities result in a lower expected price; in the second-price auction, the effect is ambiguous. Although the expected price in the second-price auction may increase if financial externalities increase, the seller is not able to gain more revenue by guaranteeing the losers a fraction of the auction revenue. With a reserve price, we find that both auctions may have pooling at the reserve price. This finding suggests that identical bids need not be a signal of collusion, in contrast to what is sometimes argued in anti-trust cases. We gratefully acknowledge financial support from the Dutch National Science Foundation (NWO 510.010.501 and NWO-VICI 453.03.606). For valuable discussions and comments, we would like to thank Eric van Damme, Jacob Goeree, Thomas Kittsteiner, Marta Kolodziejczyk, seminar participants at Tilburg University, Humboldt University Berlin, and National University of Singapore, and audiences at ESEM 2001 in Lausanne, and the FEEM 2002 conference in Milan on auctions and market design. The suggestions of an anonymous referee of this Journal greatly improved the article. The usual disclaimer applies.     

Market behavior in bid,offer, and double auctions: A Reexmination

This study examines the robustness of the previously observed [Smith (1964)] differences in market behavior between double auctions (both buyers and sellers may enter price quotes), bid auctions (only buyers may enter price quotes), and offer auctions (only sellers may enter price quotes). Based on the results of twenty-one market experiments, we find little support for the a priori hypothesis that bid auction prices tend to be greater than double auction prices which tend to be greater than offer auction prices.     

Market Power with Interdependent Demand: Sale of Emission Permits and Natural Gas from Russia

With implementation of the Kyoto Protocol, Russia will most likely be able to exert market power in the emission permit market. But, as Russia is also a big exporter of fossil fuels, the incentives to boost the permit price may be weak. However, a significant share of Russia’s fossil fuel exports is natural gas. If a high permit price boosts the demand for natural gas through substitution from more polluting fuels and thus increase gas profits, this may increase the incentives to exert monopoly power in the permit market. Moreover, a large fossil fuel exporter may use its market position to influence the effective demand for permits. Hence, the relationship between permit income and fossil fuels exports runs in both directions. In this article, we explore the interdependence between the revenues from permit and fossil fuel exports both theoretically and numerically. A computable general equilibrium model suggests the fact that Russia as a big gas exporter has small effect on the incentives to exert monopoly power in the permit market. Moreover, Russia’s monopoly power in the permit market has a small, but non-negligible impact on the optimal level of Russian gas exports.     

Selling options

Contracts often take the form of options: oil fields can be abandoned, planning permission may go unused, and acquired firms can be liquidated. We consider a seller who auctions a dynamic option among N agents. After the auction, the economy evolves and the winning bidder chooses both if and when to execute the option. The revenue-maximising auction consists of an up-front bid and a contingent fee, where the latter is chosen in a Pigouvian manner, so the winning agent's choice of exercise time maximises the seller's revenue. This contingent payment is time- and state-invariant, so the seller does not have to observe post-auction information in order to implement the optimal auction. The revenue-maximising mechanism induces a dynamic distortion: the option is exercised later than under the comparable welfare-maximising mechanism.     

向上叫价时钟双向拍卖机制设计

通过深入分析统一价格密封双向拍卖机制的诸多缺陷，充分借鉴单向拍卖市场上时钟拍卖的基本思想，将时钟拍卖引入双向拍卖市场，构建了一个无论从分配效率方面考虑还是从竞价风险方面考虑都优于统一价格密封双向拍卖机制，不仅为同类物品确定统一价格，还可以为不同类的物品确定其不同的价格的向上叫价时钟双向拍卖机制。     

Breaking Collusion in Auctions through Speculation: An Experiment on CO2 Emission Permit Markets

The European Emission Trading Scheme (EU‐ETS) has chosen to adopt an auctioning procedure to initially allocate CO₂ emission permits. Free allocation of permits will become an exception for the third phase (2013–2020) and most firms will have to buy all their permits on the market or via auctions. The ability of bidders to collude is a key concern about the design of the auction format. To counter collusion, the auction can be open to bidders without compliance obligations (speculators). This paper aims at studying experimentally speculation as a collusion‐breaking device in two different auction mechanisms: the uniform‐price sealed‐bid auction and the ascending clock auction. Our results suggest that a uniform sealed‐bid auction open to speculators should be chosen from a revenue maximization point of view. In this mechanism, compliance agents adopt an aggressive strategy toward speculators. This strategy significantly increases the seller's revenue, compared to the more collusive clock auction. In the latter, on the contrary, bidders accommodate speculators, letting them buy permits in the auction and buying their necessary permits on the secondary market. However, as opening the auction to speculators deteriorates efficiency, the regulator faces a trade‐off between these two objectives.     

Investment Incentives in Procurement Auctions

This paper investigates firms' incentives to invest in cost reduction in the first price sealed bid auction, a format largely used for procurement. Two central features of the model are that we allow firms to be heterogeneous and that investment is observable. We find that firms will tend to underinvest in cost reduction because they anticipate fiercer head-on competition. Using the second price auction as a benchmark, we also find that the first price auction will elicit less investment from market participants and that this is socially inefficient. These results have implications for market design when investment is important.     

An experimental investigation of soft price caps in uniform price auction markets for wholesale electricity

This paper presents the results from an auction experiment using industry professionals and student participants who compete in a simulated wholesale market for electricity. Motivated by the intervention by FERC in response to the “meltdown” of the California spot market, we investigate the effect of including a “soft” price cap in a uniform price auction as a means of mitigating high prices. When prices are driven above the soft cap, offer curves become flat, in contrast to the hockey stick shape observed in a typical uniform price auction for electricity. This flat offer curve leads to market prices that are relatively insensitive to both generation costs and demand reductions.      

Discriminatory Price Auctions in Electricity Markets: Low Volatility at the Expense of High Price Levels

A pay-as-offered or discriminatory price auction (DPA) has been proposed to solve the problem of inflated and volatile wholesale electricity prices. Using the experimental method we compare the DPA with a uniform price auction (UPA), strictly controlling for unilateral market power. We find that a DPA indeed substantially reduces price volatility. However, in a no market power design, prices in a DPA converge to the high prices of a uniform price auction with structural market power. That is, the DPA in a no market power environment is as anti-competitive as a UPA with structurally introduced market power.     

Bidding and Information: Evidence from Gilt-edged Auctions

Many studies have shown that government debt auctions underprice debt compared with the secondary market. This paper corroborates this for certain forms of gilt auction by comparing the price received at auction with an almost identical parent stock in the secondary market. Although the sample is small, the parent/auction stock price comparison gives a cleaner measure than used in other studies. The paper also compares non-fungible auctions (where the auction stock differs slightly from the parent at auction and merges subsequently) with fully-fungible ones (where they are identical throughout). Significant underpricing only occurs in non-fungible auctions.     

The Endowment Effect and Repeated Market Trials: Is the Vickrey Auction Demand Revealing?

The difference between people's valuations of gains and losses has been widely observed in both single trial and repeated trial experiments, as well as in survey responses and in commonplace behavior. However, the results of some Vickrey auction experiments indicate that the disparity may decrease, or even disappear, over repeated trials. This paper reports the results of two further repeated Vickrey auction experiments that test the impact of both a second price and a ninth price auction rule on valuations. Although valuations should be independent of this variation in the exchange price rule, the manipulation had a dramatic impact on subjects' stated values of a common market good. The results suggest that the endowment effect remains robust over repeated trials, and that contrary to common understanding, the Vickrey auction may elicit differing demands dependent on the context of the valuation.     

Price dynamics in an exchange economy

The pure exchange model is the foundation of the neoclassical theory of value, yet equilibrium predictions and price adjustment dynamics for this model remained untested prior to the experiment reported in this paper. With the exchange economy replicated several times, prices and allocations in most experiment sessions adjust toward the competitive equilibrium in continuous double auction trading, though adjustment is much slower than in previous commodity flow (or perishable good) double auction market experiments. Price adjustment is evaluated by comparing its extent within each market replication (or trading period) to its extent across trading periods. More price adjustment occurs within trading periods than across trading periods, so price adjustment data are evaluated with the disequilibrium Hahn process model (Hahn and Negishi in Econometrica 30:463–469, 1962) of within-period trades. This paper introduces a stochastic version the Hahn process model and demonstrates that a linear approximation to this stochastic model yields an autoregressive process with a near unit root when the adjustment rate is low. In effect, the autoregressive price adjustment model studied extensively by time series econometricians over the past 30 years can be viewed as a reduced form of a stochastic disequilibrium exchange economy price adjustment model. Estimation of the model demonstrates that price adjustment in the exchange economy experiment is considerably slower than in economies without income effects, which suggests that the price discovery process may be a significant factor in the slow adjustment documented by applied econometricians.     

Rational Buyer Meets Rational Seller: Reserves Market Equilibria under Alternative Auction Designs

We examine efficiency properties and incentive compatibility of alternative auction formats that an electricity network system operator may use for the procurement of ancillary services required for real-time operations. We model the procurement auction as a hierarchical multiproduct auction, and study several designs such as a uniform price auction minimizing revealed social cost, a uniform price auction minimizing the system operator's cost and a pay as bid auction minimizing revealed social cost. We take into account that rational bidders will respond to any market design so as to maximize their expected benefit from participating in that market. Under the assumptions of our model, we show that the uniform price auction minimizing revealed social cost is the only one that guarantees productive efficiency. We also find that expected revenue (payment in our case) equivalence between pay as bid and uniform price auctions does not extend to the hierarchical products case and the ranking of these auctions is ambiguous and depends on the data. For the procurement auction minimizing the system operator's cost, we show that misrepresentation of capability may result in capacity shortages if there are capacity constraints. For the case where only higher capability resources are constrained, this will result in random price spikes decreasing in frequency with the price cap (this is the amount paid to capacity in demand states with shortages). When lower type resources are capacity constrained as well, price spikes will be seen for both type of resources. Such artificial shortages result in reduced reliability in real-time operations.     

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.     

Ascending price Vickrey auctions

We show that an ascending price auction for multiple units of a homogeneous object proposed by Ausubel (i) raises prices for packages until they reach those nonlinear and non-anonymous market clearing prices at which bidders get their marginal products and (ii) the auction is a primal–dual algorithm applied to an appropriate linear programming formulation in which the dual solution yields those same market clearing prices. We emphasize the similarities with efficient incentive compatible ascending price auctions to implement Vickrey payments when there is a single object or when objects are heterogeneous but each buyer does not desire more than one unit. A potential benefit of these common threads is that it helps to establish the principles upon which Vickrey payments may be implemented through decentralized, incentive compatible procedures.     

Hybrid allocation mechanisms for publicly provided goods

Motivated by efficiency and equity concerns, public resource managers have increasingly utilized hybrid allocation mechanisms that combine features of commonly used price (e.g., auction) and non-price (e.g., lottery) mechanisms. This study serves as an initial investigation of these hybrid mechanisms, exploring theoretically and experimentally how the opportunity to obtain a homogeneous good in a subsequent lottery affects Nash equilibrium bids in discriminative and uniform price auctions. The lottery imposes an opportunity cost to winning the auction, systematically reducing equilibrium auction bids. In contrast to the uniform price auction, equilibrium bids in the uniform price hybrid mechanism vary with bidder risk preferences. Experimental evidence suggests that the presence of the lottery and risk attitudes (elicited through a preceding experiment) impact auction bids in the directions predicted by theory. Finally, we find that theoretically and experimentally, the subsequent lottery does not compromise the efficiency of the auction component of the hybrid mechanisms.     

Market Power,Permit Allocation and Efficiency in Emission Permit Markets

Market power in permit markets has been examined in some detail following the seminal work of Hahn (Q J Econ 99(4):753–765, 1984), but the effect of free allocation on price manipulation with market power in both product and permit market has not been fully addressed. I show that in this case, the threshold of free allocation above which a dominant firm will set the permit price above its marginal abatement costs is below its optimal emissions in a competitive market, and that overall efficiency cannot be achieved by means of permit allocation alone. In addition to being of general economic interest, this issue is relevant in the context of the EU ETS. I find that the largest German, UK and Nordpool power generators received free allowances in excess of the derived threshold. Conditional on having price-setting power in both the electricity and permit markets, these firms would have found it profitable to manipulate the permit price upwards despite being net permit buyers.