Bidders can bribe the auctioneer before they bid, with the auctioneer lowering the winner's bid if the winner paid the bribe. In equilibrium bidders employ a cutoff strategy and corruption affects neither efficiency nor the bidders' expected payoffs.

When prescribers are not price sensitive, prescriptions segment the duopoly market and the unique dominant strategy equilibrium has both firms setting the monopoly price. When some prescribers are price sensitive, manufacturers use mixed strategies but still earn positive expected profit.