Low and high types of bidders in asymmetric auctions with a general utility function

We study asymmetric first-price auctions with n bidders. We expand the results of Fibich et al. (2002) for asymmetric first-price auctions to a general utility function. We show that for low type bidders, the equality of equilibrium bids with symmetric, uniform distribution bids holds for the general case of a utility function. For high types of bidders, those with weaker distributions bid more aggressively than stronger bidders under mild assumptions of a utility function.