In models of first-price auctions, when bidders are ex ante heterogenous, deriving explicit equilibrium bid functions is typically impossible, so numerical methods (such as polynomial approximations) are often employed to find approximate solutions. Recent theoretical research concerning...

We examine a contest, modelled as an all-pay auction, in which a strong and a weak contestant compete, and where a contestant may suffer from a handicap or benefit from a head start. The former reduces the contestant's score by a fixed percentage; the latter is an additive bonus. The two...

In this paper, we propose a new approach to analyzing asymmetric first price auctions. Specifically, we examine winning probabilities, exploiting the connection between winning probabilities and payoffs known from mechanism design. This circumvents the need to look directly at bidding...