Multi-unit auctions with private information: an indivisible unit continuous price model

We construct a model of multi-unit auctions in which I bidders bid for two indivisible units of a common value good. Using a first-order approach, we find that there are equilibria in which bidders bid the same price for both units in the discriminatory auction, but not in the uniform auction. When there are only two bidders, under certain conditions, there are linear equilibria for both the discriminatory and the uniform auction formats. In all equilibria, bidders equalize the expected marginal benefit of bidding to the marginal costs of bidding. We show that comparison of the seller??s expected revenue across auction formats depends only on the ratio of the precision of private information to the precision of public information.     

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.      

Revenues in discrete multi-unit, common value auctions: a study of three sealed-bid mechanisms

This paper proposes a discrete bidding model for both quantities and pricing. It has a two-unit demand environment where subjects bid for contracts with an unknown redemption value, common to all bidders. Prior to bidding, the bidders receive private signals of information on the (common) value. The relevant task is to compare the equilibrium strategies and the seller’s revenue of the three most common auction formats with two players. The result is that the Vickrey auction always gives the most revenue to the seller, the discriminatory auction follows closely and the uniform auction clearly is the worst due to demand reduction.

Charity auctions with multiple goods: Bidding behavior and revenue

In a charity auction with multiple goods, we show that the highest-losing bid uniform price auction revenue dominates its lowest-winning bid counterpart. Only in the highest-losing bid uniform price auction is bidding independent of the number of goods and players and revenue increasing in the number of goods.     

Bidding behavior in asymmetric auctions: An experimental study

We review an asymmetric auction experiment. Based on Plum (Int. J. Game Theory 20 (1992) 393) private valuations of the two bidders are independently drawn from distinct but commonly known distributions, one of which first-order stochastically dominates the other. We test the qualitative properties of that model of asymmetric auctions, in particular whether the weak bidder behaves more aggressively than the strong, and then test bidders’ preference for first- vs. second-price auctions.     

Bidding behavior in competing auctions: Evidence from eBay

Much of the existing auction literature treats auctions as running independently of one another, with each bidder choosing to participate in only one auction. However, in many online auctions, a number of substitutable goods are auctioned concurrently and bidders can bid on several auctions at the same time. Recent theoretical research shows how bidders can gain from the existence of competing auctions, the current paper providing the first empirical evidence in support of competing auctions theory using online auctions data from eBay. Our results indicate that a significant proportion of bidders do bid across competing auctions and that bidders tend to submit bids on auctions with the lowest standing bid, as the theory predicts. The paper also shows that winning bidders who cross-bid pay lower prices on average than winning bidders who do not.     

Trust and reciprocity behavior and behavioral forecasts: Individuals versus group-representatives

Individuals are often given the responsibility of making decisions on behalf of a group or an organization. However, little is known about preferences or behavior in such contexts. In an adapted trust game, I examine whether the perspectives and behavior of group-representatives differ from those of the same individuals in an analogous situation. Group-representatives are given the responsibility of unilaterally and privately making a decision on behalf of a three-person group. Results from both the main and the follow-up studies show that people trust less and reciprocate less as group-representatives, and thus demonstrate that the interindividual-intergroup discontinuity effect not only exists in group behavior but also in individual behavior of group-representatives. Moreover, results show that trusting behavior is driven by reciprocity expectations, while reciprocating behavior is not sensitive to the first mover's behavior, i.e., the level of trust experienced.     

Beyond chopsticks: Symmetric equilibria in majority auction games

Majority auction games are simultaneous sealed-bid auctions of identical objects among identical bidders who each want to win a specified fraction (more than a half) of the objects. Each bidder receives no benefit from winning less than the specified fraction and no additional benefit from winning more than it. Symmetric equilibria having simple, intuitive forms are shown to exist in first-price, second-price and all-pay versions of such games when the number of bidders is sufficiently large. This contrasts with earlier results for the two-bidder “pure chopstick” majority auction games where the only known equilibria are more complicated.     

Economists' perceptions versus managers' decisions: an experiment in transaction-cost analysis

Are the perceptions of professional economists on transactioncosts consistent with make-or-buy decisions made within firms?The answer may have important implications for transaction costresearch. Data on firms' outsourcing during the new productdevelopment process are taken from a large-scale survey of UK,German and Irish manufacturing plants, and we test the consistencyof these outsourcing decisions with the predictions derivedfrom the transaction cost perceptions of a panel of economists.Little consistency is evident between actual outsourcing patternsand the predictions of the (Williamsonian) transactions costmodel derived from the panel of economists. There is, however,evidence of a systematic pattern to the differences, suggestingthat a competence or resource-based approach may be relevantto understanding firm outsourcing, and that firms are adoptinga strategic approach to managing their external relationships.     

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.     

The importance of being informed: Experimental evidence on demand for environmental quality

To what extent does information affect the demand for environmental quality? A randomly selected group of households in an Indian city were informed whether or not their drinking water had tested positive for fecal contamination using a simple, inexpensive test kit. Households initially not purifying their water and told that their drinking water was possibly contaminated, were 11 percentage points more likely to begin some form of home purification in the next eight weeks than households that received no information. They spent $7.24 (at PPP) more on purification than control households. By way of comparison, an additional year of schooling of the most educated male in the household is associated with a 3 percentage-point rise in the probability of initial purification, while a standard-deviation increase in the wealth index is associated with a 12 percentage-point rise in this probability and an $11.75 rise in expenditure. Initially purifying households that received a “no contamination” result did not react by reducing purification. These results suggest that estimates of the demand for environment quality that assume full information may significantly under-estimate it.     

On bidding with securities: Risk aversion and positive dependence

DeMarzo et al. (2005) consider auctions in which bids are selected from a completely ordered family of securities whose values are tied to the resource being auctioned. The paper defines a notion of relative steepness of families of securities and shows that a steeper family provides greater expected revenue to the seller. Two assumptions are: the buyers are risk neutral; the random variables through which values and signals of the buyers are realized are affiliated. We show that this revenue ranking holds for the second price auction in the case of risk aversion. However, it does not hold if affiliation is relaxed to a less restrictive form of positive dependence, namely first order stochastic dominance (FOSD). We define the relative strong steepness of families of securities and show that it provides a necessary and sufficient condition for comparing two families in the FOSD case. All results extend to the English auction.     

Revenue comparison in common-value auctions: Two examples

When players' affiliated values are symmetrically distributed, expected revenue in the second-price auction equals or exceeds that in the first-price auction (Milgrom and Weber, 1982). We provide two common-value examples where this ranking fails when players are asymmetrically informed.     

Information acquisition in auctions: Sealed bids vs. open bids

This paper studies the incentives of a bidder to acquire information in an auction when her information acquisition decision is observed by the other bidders before bidding. Our results show that the sealed bid (second price) auction may induce more information acquisition about a common component of the value than the open (English) auction but less about the private component of the value. Moreover, we show that more information about the private value and less information about the common value may improve efficiency and revenue. Consequently, our results suggest new arguments in favor of the open auction.     

Retesting symmetry and homogeneity in a cointegrated demand system with bootstrapping: The case of meat demand in Greece

A small Almost Ideal Demand System is estimated for Greek meat consumption using the Johansen procedure in conjunction with parametric bootstrapping and Bartlett corrections. Asymptotic Wald and likelihood ratio tests broadly support the predicted number of cointegrating relationships but reject symmetry and homogeneity. Bootstrapping and Bartlett corrections give support to symmetry and homogeneity but give less support for the predicted number of cointegrating relationships.Jel classification: C32 D12First version received: September 2001/Final version received: March 2003     

Strategic technology choice in regulated markets with demand uncertainty

This paper presents a simple model of a non-competitive market with demand uncertainty in which firms can choose their technology of production. Technology is characterised by two parameters: capacity and flexibility. The first has a strong commitment value while flexibility is needed to face uncertainty. Lack of competition requires active regulation to ensure that the price is not set at excessive level. When choosing their technology, firms take into account not only the effects of this choice on the opponent(s) but also the effect on the regulated price. In this framework, and because of regulation, firms have an incentive to strategically manipulate their cost (cost padding). This causes monopoly regulation aiming at improving allocative efficiency to be ineffective. In fact, by “tying its hand” to a low level of capacity, the monopolistic firm is able to get round the constraint imposed by the regulator. Increasing the number of firms in the market may restore regulation effectiveness. The reason is that if demand is sufficiently volatile, then firms strategically choose flexible techniques and this effect dominates over the incentive to manipulate costs in order to escape regulation. In this case, regulation is effective precisely because cost padding is hampered by firms’ non-cooperative behaviour.

R&D games in a Cournot duopoly with isoelastic demand functions: A comment

In a recent paper, Tramontana (Economic Modelling, 27; 350-357, 2010) investigates the stability properties of a Cournot Duopoly game when the demand function is isoelastic. In this note, we show that for some well known applications of two-stage Cournot games (D. Aspremont and Jacquemin, American Economic Review, 78, 1122-1137, 1988) an isoelastic demand function can guarantee both the existence and the uniqueness of a Nash Equilibrium even in cases where existence is not obtained with linear demands.     

Modeling corner solutions with panel data: Application to the industrial energy demand in France

This paper provides an empirical application of Lee and Pitts (1986) approach to the problem of corner solutions in the case of panel data. This model deals with corner solutions in a manner consistent with the firm behavior theory while controlling for unobserved heterogeneity. In this model, energy demand at industrial plant level is the result of a discrete choice of the type of the energy to be consumed and a continuous choice that defines the level of demand. The econometric model is, essentially, an endogenous switching regime model which requires the evaluation of multivariate probability integrals. We estimate the random effect model by maximum likelihood using a panel of industrial French plants from the paper and pulp industry. We calculate empirical price elasticities of energy demand from the model. We also study the effects on energy demand of an environmental policy aimed at reducing CO₂ emissions. The authors are grateful to the Institut Français de eEnergie for its financial support and to the SESSI for providing the data. We would like to thank two anonymous referees for useful comments and suggestions. the usual disclaimer applies.     

Tax compliance and obedience to authority at home and in the lab: A new experimental approach

In most experimental studies of tax evasion, participants are instructed that they may report any amount of income from zero up to the amount they actually earned or received. This amounts to an invitation to gamble. In contrast, real-world tax authorities unambiguously demand compliance. We develop two new settings for conducting tax experiments. Both involve an explicit demand for compliance. Thus, we can determine whether knowing that the experimental authority would regard evasion as wrongful disobedience will influence compliance decisions. We demonstrate that simply telling people that they are required to pay a “participation fee” analogous to a tax produces remarkably high compliance rates and less sensitivity to changes in economic variables than in the earlier experimental literature using invitation-to-gamble language. This suggests that many people pay taxes despite the financial attraction of non-compliance because they are strongly inclined towards obeying authority. Furthermore, we show that giving participants a week to make their reporting decisions at home without an authority figure physically present overcomes the inclination to obey for some people, significantly lowering compliance rates. However, the majority still complies, even after the audit rate falls from 25% to 1%, which would make non-compliance extremely attractive if it were viewed only as a simple matter of risk and expected return. Electronic Supplementary Material Supplementary material is available in the online version of this article at . JEL Classification C91, H26     

Auctions with variable supply: Uniform price versus discriminatory

We examine an auction in which the seller determines the supply after observing the bids. We compare the uniform price and the discriminatory auction in a setting of supply uncertainty, where uncertainty is caused by the interplay of two factors: the seller's private information about marginal cost and the seller's incentive to sell the profit-maximizing quantity, given the received bids. In every symmetric mixed strategy equilibrium, bidders submit higher bids in the uniform price auction than in the discriminatory auction. In the two-bidder case, this result extends to the set of rationalizable strategies. As a consequence, we find that the uniform price auction generates a higher expected revenue for the seller and a higher trade volume.