An Analysis of Market-Based and Statutory Limited Liability in Second Price Auctions

In auctions where bidders are uncertain of their value and are fully liable for their bids, there exists the potential for losses if bids exceed realized values. Theoretically, bids will be higher if bidders are able to mitigate this downside loss through some form of limited liability. To determine the impact of differing forms of limited liability, this paper theoretically and experimentally examines a second price auction with uncertain private values in three environments: market-based limited liability, statutory limited liability, and full liability. Market-based limited liability is induced through inter-bidder resale following the auction. Statutory limited liability is created through a default penalty option in the event that a bidder would make a loss. Bids are theoretically shown to be higher under resale and the penalty default environments than under full liability. The experimental results confirm more aggressive bidding for resale and the low penalty default treatments, but not by as much as theory predicts. Notably, under the high default penalty bidders are not bidding significantly more than under full liability, despite the theoretical prediction that they should.Auctions, Limited Liability, Resale, Experimental Economics

First Price Auctions with General Information Structures: Implications for Bidding and Revenue

We explore the impact of private information in sealed bid first price auctions. For a given symmetric and arbitrarily correlated prior distribution over values, we characterize the lowest winning bid distribution that can arise across all information structures and equilibria. The information and equilibrium attaining this minimum leave bidders uncertain whether they will win or lose and indifferent between their equilibrium bids and all higher bids. Our results provide lower bounds for bids and revenue with asymmetric distributions over values. We report further analytic and computational characterizations of revenue and bidder surplus including upper bounds on revenue. Our work has implications for the identification of value distributions from winning bid data and for the informationally robust comparison of alternative bidding mechanisms

Bidding at Sequential First-Price Auctions with(out) Supply Uncertainty: A Laboratory Analysis

We report on a series of experiments that test the effects of an uncertain supply on the formation of bids and prices in sequential first-price auctions with private-independent values and unit-demands. Supply is assumed uncertain when buyers do not know the exact number of units to be sold (i.e., the length of the sequence). Although we observe a non-monotone behavior when supply is certain and an important overbidding, the data qualitatively support our price trend predictions and the risk neutral Nash equilibrium model of bidding for the last stage of a sequence, whether supply is certain or not. Our study shows that behavior in these markets changes significantly with the presence of an uncertain supply, and that it can be explained by assuming that bidders formulate pessimistic beliefs about the occurrence of another stage.sequential first-price auctions, independent private values, unit-demand, supply uncertainty, bidding behavior, price trends, experimental economics

Tenders with Different Risk Preferences in Construction Industry

Underlying the fact that different tenderers have different preferences on risk-taking, this study investigates the different tenderers' behaviors in one-shot construction bid auctions. Our model extends the preconditions of previous assumption that all tenderers are characterized by neutral risk-taking in the original tendering model for lowest-price sealed tender. A general tendering model for the lowest-price sealed tender is established to explain the behavior of tenderers during the tendering. The results indicate that construction estimate is affected by the degree of uncertainties in the construction industry. Therefore, in a lowest-price sealed tender, risk-averse tenders would tender a higher price and conversely risk-seeking tenderers would tender a lower price when risk-neutral tenderers would tender a middle price. However, the risk-seeking tenderers are more likely to win the bid.Auction, tender, uncertainty, preference, construction industry

The impact of the irrelevant – Temporary buy-options and bidding behavior in online auctions

In a laboratory experiment, we investigate the impact of temporary buy-options on efficiency, revenues, and bidding behavior in online proxy-auctions when bidders have independent private valuations. We show that the introduction of a buy-option reduces efficiency and at the same time fails to enhance revenues. In particular, we observe that the former presence of a temporary buy-option lowers final prices in an auction (even though the option is no longer available once an auction has started). If bidders have imprecise information about their private value, auction prices are increasing in the price of the buy-option which suggests anchoring as an explanation. Surprisingly, the former presence of a temporary buy-option also tends to reduce final auction prices if bidders are perfectly informed about their private value. In fact, we demonstrate that bidders are reluctant to bid above the option price regardless of the precision of their private information and the price of the option.microeconomics ;

Late and Multiple Bidding in Second Price Internet Auctions: Theory and Evidence Concerning Different Rules for Ending an Auction

In second price internet auctions with a fixed end time, such as those on eBay, many bidders ‘snipe’, i.e., they submit their bids in the closing minutes or seconds of an auction. Late bids of this sort are much less frequent in auctions that are automatically extended if a bid is submitted very late, as in auctions conducted on Amazon. We propose a model of second price internet auctions, in which very late bids have a positive probability of not being successfully submitted, and show that sniping in a fixed deadline auction can occur even at equilibrium in auctions with private values, as well as in auctions with uncertain, dependent values. Sniping in fixed-deadline auctions also arises out of equilibrium, as a best reply to incremental bidding. However, the strategic advantages of sniping are eliminated or severely attenuated in auctions that apply the automatic extension rule. The strategic differences in the auction rules are reflected in the field data. There is more sniping on eBay than on Amazon, and this difference grows with experience. We also study the incidence of multiple bidding, and its relation to late bidding. It appears that one substantial cause of late bidding is as a strategic response to incremental bidding.

Price Formation under Small Numbers Competition: Evidence from Land Auctions in Singapore

This paper examines the price formation process under small numbers competition using data from Singapore land auctions. The theory predicts that bid prices are less than the zero-profit asset value in these first-price sealed-bid auctions. The model also shows that expected sales price increases with the number of bidders both because each bidder has an incentive to offer a higher price and because of a greater likelihood that a high-value bidder is present. The empirical estimates are consistent with auction theory and show that the standard land attributes are reflected in auction prices as expected. Working Paper No. 04-0

Auction Fever: Theory and Experimental Evidence

It is not a secret that certain auction formats yield on average higher prices than others. The phenomenon that dynamic auctions are more likely to elicit higher bids than static one-shot auctions is often associated with the term ''auction fever.'' On a psychological level, we consider the so-called pseudo-endowment effect as largely responsible for peoples’ tendency to submit higher bids, potentially amplified by the source-dependence effect. The phenomenon of auction fever is replicated in an experimental investigation of different auction formats within a private values framework where bidders have private but incomplete knowledge of their valuation for a hypothetical good. We suggest this assumption to be more realistic than definite private values, as assumed in the traditional IPV model. An additional experimental investigation within the traditional IPV framework does not either reveal any indication for the appearance of auction fever. On the basis of our experimental observations we present a model of reference-dependent utility theory that comprehends the phenomenon by assuming that bidders' reference points are shifted by the pseudo-endowment and the source-dependence effect.

An Experimental Test of Precautionary Bidding

Auctions often involve goods exhibiting a common knowledge ex-post risk that is independent of buyers’ private values or their signals regarding common value components. Esö and White (2004) showed theoretically that ex-post risk leads to precautionary bidding for DARA bidders: Agents reduce their bids by more than their appropriate risk premium. Testing precautionary bidding with data from the field seems almost impossible. We conduct experimental first-price auctions that allow us to directly identify the precautionary premium and find clear evidence for precautionary bidding. Bidders are significantly better off when a risky object rather than an equally valued sure object is auctioned. Our results are robust if we control for potentially confounding decision biases