Consider a Stackelberg “triopoly” model with three firms: one leader and two followers.


In the first stage the leader chooses its quantity q1.
In the second stage the followers observe the leader’s quantity and then simultaneously play as in the Cournot model by choosing their quantities q2 and q3. Market price is given by the inverse demand function P(Q) = a − Q, where Q = q1 + q2 + q3, and all the firms share same constant marginal costs c. Profits are the payoffs.


Find the backwards induction outcome of the game.


不知道那两家followers要怎么处理啊，老师上课只讲了双头，上网也搜不到，求大神指导。