We consider first-price and second-price auctions with asymmetric buyers, and examine whether pre-auction offers to a subset of buyers are profitable. A single offer is never profitable prior to a second-price auction, but may be profitable prior to a first-price auction. However, a sequence of...

In many contests, a subset of contestants is granted preferential treatment which is presumably intended to be advantageous. Examples include affirmative action and biased procurement policies. In this paper, however, I show that some of the supposed beneficiaries may in fact become worse off...

In models of first-price auctions, when bidders are ex ante heterogeneous, deriving explicit equilibrium bid functions is typically impossible, so numerical methods are often employed to find approximate solutions. Recent theoretical research concerning asymmetric auctions has determined some...

I consider first-price auctions (FPA) and second-price auctions (SPA) with two asymmetric bidders. The FPA is known to be more profitable than the SPA if the strong bidder's distribution function is convex and the weak bidder's distribution is obtained by truncating or horizontally shifting the...

I examine a contest with identity-dependent rules in which contestants are privately informed and ex ante heterogeneous. A contestant may suffer from a handicap or benefit from a head start. The former reduces the contestantʼs score by a fixed percentage; the latter is an additive bonus....

In a deterministic contest or all-pay auction, all rents are dissipated when information is complete and contestants are identical. As one contestant becomes “stronger”, that is, values the prize more, total expenditures are known to decrease monotonically. Thus, asymmetry among contestants...

Comparative statics for contests with two privately informed and ex ante heterogeneous contestants are analyzed. Strategies and payoffs are examined and it is shown that total effort may increase when one contestant becomes weaker. The second part of the paper considers dynamic contests in which...

A new approach to asymmetric first price auctions is proposed which circumvents the need to examine bidding strategies directly. Specifically, the ratio of bidders' (endogenous) payoffs is analyzed and compared to the ratio of the (exogenous) distribution functions that describe beliefs. Most of...

We consider “must-sell” auctions with asymmetric buyers. First, we study auctions with two asymmetric buyers, where the distribution of valuations of the strong buyer is “stretched” relative to that of the weak buyer. Then, it is known that inefficient first-price auctions are more...