Suppose two identical firms produce widgets and they are the only firms in the market. Their costs are given by C1 = 5 (Q1 ) and C2 = 5 (Q2 ) respectively, where Q1 is the output of firm one and Q2 is the output of firm 2. Price is determined by the following demand curve: (MC for each firm is 5)
P= 100-Q, where Q = Q1 + Q2 .
Find the Cournot-Nash equilibrium.