Consider a homogeneous-good Cournot oligopoly with n >2 identical firms with C(q) = 0 and P(Q) = e- Q; for Q >0:
a) Find the Cournot equilibrium outputs, price and profit.
b) Find all the merger sizes m (2 < m < n) that are profitable to the merged entity. Are these mergers also profitable to the non-merging firms?