Two identical firms each have a cost function TC = 2y2 and the market demand for their output is P = -4Q+192
a) Write the "best response" function for each firm.
b) Find the Nash equilibrium in this model
c) Show that if each firm produces 1 fewer units than the result in (b), both firms make more profit. Use this information to construct a normal form game. Explain why this game is a prisoner's dilemma.