Auctions vs. Negotiations

Which is the more profitable way to sell a company: a public auction or an optimally structured negotiation with a smaller number of bidders? We show that under standard assumptions the public auction is always preferable, even if it forfeits all the seller's negotiating power, including the ability to withdraw the object from sale, provided that it attracts at least one extra bidder. An immediate public auction also dominates negotiating while maintaining the right to hold an auction subsequently with more bidders. The results hold for both the standard independent private values model and a common values model. They suggest that the value of negotiating skill is small relative to the value of additional competition.

Anomalies in Auction Choice Behavior

Ivanova-Stenzel and Salmon (2004a) established some interesting yet puzzling results regarding bidders’ preferences between auction formats. The finding is that bidders strongly prefer the ascending to the first price sealed bid auction on a ceteris paribus basis but they are not willing to pay up to an entry price for entering into an ascending auction instead of a first price that would equalize the profits between the two. While it was found that risk aversion on the part of the bidders could resolve this anomaly the claim that risk aversion drives overbidding in first price auctions is somewhat controversial. In this study we examine two competing explanations for the observed behavior; loss aversion and “clock aversion”, i.e. a dislike for some aspect of the clock based bidding mechanism. We find that neither alternative explanation can account for bidders’ auction choice behavior leaving risk aversion as the only un-falsified hypothesis

Auctions with heterogeneous entry costs

We study the impact of public and secret reserve prices in auctions where buyers have independent private values and heterogeneous entry costs. We find that in a standard auction the optimal (i.e., revenue maximizing) public reserve price is typically above the seller's value. Moreover, an appropriate entry fee together with a public reserve price equal to the seller's value generates greater revenue. Secret reserve prices, however, differ across auction formats. In a second-price sealed-bid auction the secret reserve price is above the optimal public reserve price; hence there is less entry, a smaller probability of sale, and both the seller revenue and the bidders' utility are less than with an optimal public reserve price. In contrast, in a first-price sealed-bid auction the secret reserve is equal to the seller's value, and the bidders' expected utility (seller revenue) is greater (less) than with an optimal public reserve price

Risk Aversion and Optimal Reserve Prices in First and Second-Price Auctions, Second Version

This paper analyzes the effects of buyer and seller risk aversion in first and second-price auctions. The setting is the classic one of symmetric and independent private values, with ex ante homogeneous bidders. However, the seller is able to optimally set the reserve price. In both auctions the seller’s optimal reserve price is shown to decrease in his own risk aversion, and more so in the first-price auction. Thus, greater seller risk aversion increases the ex post efficiency of both auctions, and especially that of the first-price auction. The seller’s optimal reserve price in the first-price, but not in the second-price, auction decreases in the buyers’ risk aversion. Thus, greater buyer risk aversion also increases the ex post efficiency of the first but not the second-price auction. At the interim stage, the first-price auction is preferred by all buyer types in a lower interval, as well as by the seller.first-price auction, second-price auction, risk aversion, reserve price

Unique bid auctions: Equilibrium solutions and experimental evidence

Two types of auction were introduced on the Internet a few years ago and have rapidly been gaining widespread popularity. In both auctions, players compete for an exogenously determined prize by independently choosing an integer in some finite and common strategy space specified by the auctioneer. In the unique lowest (highest) bid auction, the winner of the prize is the player who submits the lowest (highest) bid, provided that it is unique. We construct the symmetric mixed-strategy equilibrium solutions to the two auctions, and then test them in a sequence of experiments that vary the number of bidders and size of the strategy space. Our results show that the aggregate bids, but only a minority of the individual bidders, are accounted for quite accurately by the equilibrium solutions.

Equilibria in Asymmetric Auctions with Entry

Regarding optimal design in the private value environment, there is an unsolved discrepancy in the literature regarding asymmetric auctions and auctions with endogenous participation; Literature on the former suggests that well-designed distortive mechanisms are optimal (revenue maximizing) assuming the bidding costs are negligible, while that on the latter insists that the mechanisms with free entry and no distortion are optimal provided that the potential bidders are ex ante symmetric.This paper is the first attempt to reconcile the two views by establishing a model for asymmetric auctions with costly participation. The main findings are threefold; First, an optimal outcome is possible if and only if the mechanism is ex post efficient. Second, without any participation control, a coordination problem is likely in which only the weak bidders participate and the strong bidders stay out. Finally, there is an entry fee/subsidization scheme which, together with an ex post efficient mechanism, induces the optimal outcome as a unique equilibrium.

Experimental Evidence on the Endogenous Entry of Bidders in Internet Auctions

This paper tests the empirical predictions of recent theories of the endogenous entry of bidders in auctions. Data come from a field experiment, involving sealed-bid auctions for collectible trading cards over the Internet. Manipulating the reserve prices in the auctions as an experimental treatment variable generates several results. First, observed participation behavior indicates that bidders consider their bid submission to be costly, and that bidder participation is indeed an endogenous decision. Second, the participation is more consistent with a mixed-strategy entry equilibrium than with a deterministic equilibrium. Third, the data reject the prediction that the profit- maximizing reserve price is greater than or equal to the auctioneerç—´ salvage value for the good, showing instead that a zero reserve price provides higher expected profits in this case.

Sequential auction and auction design

Often an auction designer has the option of selling, or purchasing, those lots available in one auction or a sequence of auctions. In addition, bidder opportunities will not be static, in part due to arrival of information, but also because bidders can face deadlines for making decisions. This paper examines the optimal decision about how to divide what is available over time.sequential auctions