Two firms produce identical products. The demand for a product is Q = 100 P. Total cost of firm 1 from producing q1 units is TC1(q1) = 10q1. Total cost of firm 2 from producing q2 units is TC2(q2) = (q2^2 )/2 100. Firm 1 has three possible decisions: to produce either 10, 20, or 30 units. Firm 2 has two possible decisions: to produce either 20 or 30 units.

(a) Represent this game as a matrix and specify players, decisions, outcomes, and payoffs.

(b) Does each player have a dominant strategy?

(c) What are the Nash equilibria of this game?