一道产业经济、博弈论习题

4.      Assumethat there are five firms that produce the same homogeneous good and competebased on output. Firm 1 determines its output first and the four remainingfirms determine their outputs simultaneously once they know what firm 1’soutput is. Firm 1 must commit to its output. Assume that al the firms selltheir output at the same time and at the same price. The inverse market demandequation is P = 100 – 2Q. Firm 1 has a constant marginal cost of $2 per unitand each of the four other firms have constant marginal cost of $4 per unit.There are no fixed costs. Determine the market equilibrium price and quantity.