Bidding in an Electricity Pay-as-Bid Auction

One of the main elements of the recent reform of electricity trading in the United Kingdom is the change from a uniform price auction in the wholesale market to discriminatory pricing. We analyze this change under two polar market structures (perfectly competitive and monopolistic supply), with demand uncertainty. We find that under perfect competition there is a trade-off between efficiency and consumer surplus between the two auction rules. We also establish that a move from uniform to discriminatory pricing under monopoly conditions has a negative impact on profits and output (weakly), a positive impact on consumer surplus, and ambiguous implications for welfare and average prices.     

Asymmetric Nash equilibrium in emission rights auctions

This paper studies the problems of emission rights auctions, and presents a uniform price auction mechanism based on three assumptions, i.e., all buyers are asymmetric, every buyer submits a nonincreasing continuous demand function, and every buyer's valuation to per unit of the emission rights is common value information. It focuses on solving the asymmetric Nash equilibrium for this auction mechanism. It concludes that there exist multiple Nash equilibria in our auction mechanism, but the arbitrary low equilibrium prices cannot emerge. We also give several suggestions on how to induce the auction to a desired ideal equilibrium state in mechanism design of emission rights auctions.     

Does spectrum auctioning harm consumers? Lessons from 3G licensing

Although the auctioning spectrum is generally considered to be highly successful, many countries still rely on beauty contests to assign spectrums. This is often attributed to the negative perceptions about the potential problems that auctions may cause, such as high licensing fees, high consumer prices, a lower incentive to invest in infrastructure, and concerns about market concentration.To address these negative perceptions, this paper estimates the effects of the auctions and the licensing fees for the 3G spectrum on consumer prices, the timing of a new service launch, and the market structure using data from the mobile markets of 21 OECD countries. Although our study uses a relatively small sample and a simple methodology, the results are meaningful since it examines a single service (3G) in OECD countries. Some of these countries have adopted auctions while others have used the traditional beauty contest approach. This combination provides a natural experiment to evaluate the impact of auctions on the mobile telecommunications market.The estimation results show no evidence to support claims of negative effects of spectrum auctions in the mobile communications market. This study calls for more positive action toward spectrum auctions in many countries who seek to improve the efficiency and transparency of spectrum assignment.     

Asymmetric Demand Information in Uniform and Discriminatory Call Auctions: An Experimental Analysis Motivated by Electricity Markets

We study experimental multi-unit uniform and discriminatory auctions with demand uncertainty, motivated by the ongoing debate about market design in the electricity industry. We study the effect of asymmetric demand-information in the two auction institutions. In our treatment condition some sellers have less information than in our baseline conditions. In both conditions transaction prices and price volatility are not significantly different under the two auction institutions. However, under asymmetric information discriminatory auctions are significantly less efficient. These results are not in line with typical arguments made in favor of discriminatory pricing in electricity industries; namely, lower prices and less volatility.     

English auctions with resale: An experimental study

I design and test a simple English auction and two English auctions with resale, but with different informational backgrounds. All three treatments theoretically have the same equilibrium. I find, however, that the possibility of resale alters behavior significantly. In the two treatments with resale, subjects deviated from both the Nash prediction and the common results about bidding behavior in English auctions. Subjects tend to overbid, when they are certain they can reap the whole surplus in the resale market. I employ different models like QRE and levels of reasoning and conclude that overbidding can be explained as a rational response to the noisy environment in markets with human participants, that is, as rational decision making when anticipating others to make errors. When the outcome of the resale market is not certain, there is significant signaling behavior and auction prices tend to be lower than the Nash prediction.     

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.     

Demand reduction and preemptive bidding in multi-unit license auctions

Multi-unit ascending auctions allow for equilibria in which bidders strategically reduce their demand and split the market at low prices. At the same time, they allow for preemptive bidding by incumbent bidders in a coordinated attempt to exclude entrants from the market. We consider an environment where both demand reduction and preemptive bidding are supported as equilibrium phenomena of the ascending auction. In a series of experiments, we compare its performance to that of the discriminatory auction. Strategic demand reduction is quite prevalent in the ascending auction even when entry imposes a (large) negative externality on incumbents. As a result, the ascending auction performs worse than the discriminatory auction both in terms of revenue and efficiency, while entrants’ chances are similar across the two formats.     

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.     

Bounding consumer surplus by monopoly profits

Regulatory agencies and other public authorities in the United States frequently require private firms seeking regulatory approvals to enter geographic markets, or offer products, that they would not otherwise provide. Examples include “build-out” rules for cable television franchisees, and universal service or “common carrier” obligations. The social welfare consequences of such policies are often difficult to evaluate because, among other things, consumer surpluses generated by entry must be assessed. This article shows that the level of (variable) monopoly profits in the markets of interest can be used to place an upper bound on the associated consumer surplus whenever demand vanishes at a sufficiently high price. This result, which is new, can then be used to evaluate the social consequences of forced entry. Our methods can also be used to provide a bound on the change in consumer surplus resulting from the imposition of regulated prices on an existing monopoly.      

Behavior in second-price auctions by highly experienced eBay buyers and sellers

We report on sealed-bid second-price auctions that we conducted on the Internet using subjects with substantial prior experience: they were highly experienced participants in eBay auctions. Unlike the novice bidders in previous (laboratory) experiments, the experienced bidders exhibited no greater tendency to overbid than to underbid. However, even subjects with substantial prior experience tended not to bid their values, suggesting that the non-optimal bidding of novice subjects is robust to substantial experience in non-experimental auctions. We found that auction revenue was not significantly different from the expected revenue the auction would generate if bidders bid their values. Auction efficiency, as measured by the percentage of surplus captured, was substantially lower in our SPAs than in previous laboratory experiments.     

Evaluation of a Truthful Revelation Auction in the Context of Energy Markets with Nonconcave Benefits

We describe a Vickrey-Clarke-Groves auction for supply and demand bidding in the face of market power and nonconcave benefits in which bidders are motivated to bid truthfully, and evaluate its use for power and gas pipeline capacity auctions. The auction efficiently allocate resources if firms maximize profit. Simulations, including an application to the PJM power market, illustrate the procedure. However, the auction has several undesirable properties. It risks being revenue deficient, can be gamed by cooperating suppliers and consumers, and is subject to the information revelation and bid-taker cheating concerns that make single item Vickrey auctions rare.     

Indeterminacy and directed search

The directed search approach assumes each seller posts a fixed price and, ex post, randomly allocates the good should more than one buyer desire the good. This paper assumes sellers can post prices which are contingent on ex post realized demand; e.g. an advertisement might state the Bertrand price should there be more than one buyer, which corresponds to an auction outcome. Competition in fixed prices and ex post rationing describes equilibrium behavior. There is also real market indeterminacy: a continuum of equilibria exists which are not payoff equivalent. Sellers prefer the equilibrium in auctions.     

Competition among auctioneers in large markets

We analyse a multistage game of competition among auctioneers. First, the auctioneers commit to some reserve prices; second, the bidders enter one auction, if any; and finally, the auctions take place. We show that for any finite set of feasible reserve prices, each auctioneer announces a reserve price equal to his production cost if the numbers of auctioneers and bidders are sufficiently large, though finite. Our result supports the idea that optimal auctions may be quite simple. Our model also confirms previous results for some “limit” versions of the model by McAfee (Econometrica 61 (1993) 1281-1312), Peters (Rev. Econ. Stud. 64 (1997) 97-123), and Peters and Severinov (J. Econ. Theory 75 (1997) 141-179).     

Mixed bundling auctions

We study multi-object auctions where agents have private and additive valuations for heterogeneous objects. We focus on the revenue properties of a class of dominant strategy mechanisms where a weight is assigned to each partition of objects. The weights influence the probability with which partitions are chosen in the mechanism. This class contains efficient auctions, pure bundling auctions, mixed bundling auctions, auctions with reserve prices and auctions with pre-packaged bundles. For any number of objects and bidders, both the pure bundling auction and separate, efficient auctions for the single objects are revenue-inferior to an auction that involves mixed bundling.     

Standard Auctions with Financially Constrained Bidders

We develop a methodology for analyzing the revenue and efficiency performance of auctions when buyers have private information about their willingness to pay and ability to pay. We then apply the framework to scenarios involving standard auction mechanisms. In the simplest case, where bidders face absolute spending limits, first-price auctions yield higher expected revenue and social surplus than second-price auctions. The revenue dominance of first-price auctions over second-price auctions carries over to the case where bidders have access to credit. These rankings are explained by differences in the extent to which financial constraints bind in different auction formats.     

The determinants of price in 3G spectrum auctions

This article examined the empirical relationship between prices paid for national 3G wireless licenses when spectrums were sold by auction. The reduced-form modelling approach was based on the premise that auction design features can, and do, affect both final (revenue) and intermediate (viz., auction competitiveness and license assignment) auction outcomes. Importantly, the analysis recognizes, and explicitly allows for, the endogeneity of bidder entry and sample selection arising from an absence of bidding. Generally, these key features have only received attention in isolation. In particular, the study addressed the principal question of: which regulator chosen auction design variables determine prices paid in spectrum auctions? The analysis showed that flexible-package formats increased prices paid, and that higher reserve prices had a dampening effect. The article also showed that longer license terms and more competitive auctions (as measured by the bidders-to-licenses ratio) enhance prices paid.     

Multiple unit auctions with strategic price-quantity decisions

Summary. I study a multiple unit auction where symmetric risk-neutral bidders choose prices and quantities endogenously. In the model, bidders (a) may place non-linear valuations on the auctioned units, and (b) bid for several units at the same price (“lumpy” bids). I characterize quantity-symmetric and strictly monotone-increasing price equilibria for discriminatory and competitive auctions, and show that (i) if quantity strategy profiles are equal across auctions revenue- equivalence holds, (ii) expected revenue is higher if bidders bid for the entire supply rather than for shares of it, and (iii) equilibrium allocations may fail to be Pareto-optimal. Received: April 14, 1995; revised version: September 3, 1997     

Dominant Strategy Adoption and Bidders' Experience with Pricing Rules

Truthful revelation is a dominant strategy in both English (oral ascending bid) and second-price sealed-bid private-values auctions. Controlled observations of English auctions are largely consistent with the dominant strategy prediction, but laboratory second-price auctions exhibit substantial and persistent overbidding, even with prior experience. However, the experience of having bid in an English auction has a significant learning effect, moving bidding in subsequent second-price auctions closer to the dominant strategy. I explore two treatments isolating facets of the lessons learned from English auction participation, leading me to the following conclusions. Part of the lesson carried over appears to be considering prices one-by-one, but most of it appears to be a crude awareness that overbidding leads to losses. A claim that English auction experience teaches subjects to recognize the dominant strategy in second-price auctions seems overly optimistic. I introduce a nonparametric technique to test coefficient restrictions when the assumption of normally distributed errors is untenable.     

The effects of rent asymmetries in experimental auction markets

We report the results of twelve ‘double-auction’ market experiments designed to analyze the effects of asymmetric induced supply and demand configurations on the price convergence path toward a competitive equilibrium. The proposition (convergence bias) that prices tend to approach the competitive equilibrium from above (below) when consumer surplus is greater (less) than producer surplus cannot be rejected. We do, however, reject the proposition (convergence symmetry) that these convergence biases are of equal absolute magnitude. Excesses of producer over consumer surplus are found to have a more pronounced effect on the sequence of contract prices.     

The high/low divide: Self-selection by values in auction choice

Most prior theoretical and experimental work involving auction choice has assumed bidders find out their value after making a choice of which auction to enter. We examine whether or not bidders knowing their value prior to making a choice of which among multiple alternative auction formats to enter impacts their choice decision and/or the outcome of the auctions. The results show a strong impact on auction choice. Subjects with low values choose the first price sealed bid auction more often while subjects with high values choose the ascending auction more often. The number of bidders in each auction, revenue, efficiency and average bidder surplus all end up equalized.