Consider a homogeneoous-good Cournot oligopoly with 2 identical firms with C(q) = 0 and P(Q) = e-Q; for Q >0:
a) Find the Stackelberg equilibrium outputs, price and profits (with firm 1 as the leader).
b) Compare the Stackelberg and the Cournot equilibria in terms of equilibrium outputs, price and profits. Are the comparisons intuitively expected?