Three oligopolists operate in a market with inverse demand given byP(Q) =100?Q, where Q = q1+q2+q3 a

Three oligopolists operate in a market with inverse demand given byP(Q) =100?Q, where Q = q1+q2+q3 and qi is the quantity produced by firm i. Eachfirm has a constant marginal cost of production, 20, and no fixed cost. Thefirms choose their quantities as follows: (1) firm 1 chooses q1 0; (2) firms 2and 3 observe q1 and then simultaneously choose q2 and q3, respectively. Whatis the subgame perfect outcome?