We investigate Stackelberg competition in which there are 1 leader and n followers.
The leader is the only player who has the cost advantage. We induce the limit outcomes when the number of followers goes to infinit and verify three cases arise.
One is the case the leader becomes the monopolist.
Also there exists the opposite case where the leader is not able to stick out of competitive market.
In the intermediate case, the leader occupies an entire market but does not have the power to make the price.