The theoretical literature on asymmetric first-price auctions has focused mainly on settings with either (1) exactly two bidders or (2) an arbitrary number of bidders with types in a common support. Even though closed form solutions are typically impossible, there is enough structure in the...

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...