
Problem 3. Cournot Competition with Different Costs Suppose there are two firms engaged in quantity competition....
Problem 3. Cournot Competition with Different Costs Suppose there are two firms engaged in quantity competition. The demand is P = 2 - Q where Q=q1 +22. Assume cı = { and c2 = , i.e., Firm 2 is more efficient. Compute the Cournot equilibrium (i.e., quantities, price, and profits). price, and profits).
Problem 4. Cournot Competition With Different Costs Suppose there are two firms engaged in quantity cornpetition. The demand is P = 2-Q where Q qi + 92. Assunie c.-1 and c2 =丨, ie.. Firm 2 is more efficient. Compute the Cournot equilibrium (i.e., quantities, price, and profits)
Problem 2. Cournot Competition with Three Firms Suppose there are three identical firms engaged in quantity competition. The demand is P = 1 - Q where Q = qi + q2 + q3. To simplify, assume that the marginal cost of production is zero. Compute the Cournot equilibrium (i.e., quantities, price, and profits)
Problem 1. Cournot Competition with Two Firms Suppose there are two identical firms engaged in quantity competition (Cournot competition). The demand is P=1-Q where Q =91 +92. Assume that firm's i total cost of production is TC(qi) Compute the Cournot equilibrium (i.e., quantities, price, and profits).
Problem 1. Cournot Competition with Two Firms Suppose there are two identical firms engaged in quantity competition (Cournot competition). The demand is P 1 - Qwhere Q qi 2. Assume that firm's i total cost of production is TC(q) = . Compute the Cournot equilibrium (i.e., quantities, price, and profits)
Problem 2. Cournot Competition with Three Firms Suppose there are three identical firms engaged in quantity competition. The demand is P=1-Q where Q = 91 +92 +93. To simplify, assume that the marginal cost of production is zero. Compute the Cournot equilibrium (i.e., quantities, price, and profits).
Problems 3,4 and 5
Problem 3. Consider the game below. (a) There are no dominant or dominated strategies. Is there anything you can say about what players will do? Player 2 C T (2,1) (0,2) M (1,1) (1,1)| (1,0) B(0,1) (2,0) (2,2) (0,3) Player (b) Report the best responses Problem 4. Bertrand Competition With Different Costs Suppose two firms facing a demand Dip) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost e and Firm...
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost ci and Firm 2 has a marginal cost c2. Assume ci < C2, i.e., Firm 1 is more efficient. Show that (unlike the case with identical costs) p1 = C1 and P2 = c2 is not a Bertrand equilibrium.
Problem 4. Bertrand Competition with Different Costs Suppose two firms facing a demand D(p) compete by setting prices simultaneously (Bertrand Competition). Firm 1 has a constant marginal cost ci and Firm 2 has a marginal cost c2. Assume ci < C2, i.e., Firm 1 is more efficient. Show that (unlike the case with identical costs) p1 = (1 and p2 = c2 is not a Bertrand equilibrium.
3. Two firms in the market, 1 and 2, face an inverse demand function given by P(Q1 +Q2) = 400 – 2Q1 – 202 where Q1 is the level of production of firm 1 and Q2 is the level of production of firm 2. The cost function of firm 1 is C1 (Q1) = (Q1) and the cost function of firm 2 is C2 (Q2) = (Q1). The two firms compete in quantities (i.e., Cournot competition). (a) Set up the...