If you care how much the other party pays, then you still have incentive to second guess their bid. For example, in an auction fantasy football system, it is i

If you care how much the other party pays, then you still have incentive to second guess their bid. For example, in an auction fantasy football system, it is in your interest to make your opponents pay as much as possible for any bid they win. So if you believe they value a player more than you do, it could be in your interest to actually bid more than the value you place on the player in order to force them to pay their maximum bid.