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Mathematical Question 2 (20pts) 2. Consider a Cournot competition model with two firms, 1 and 2....
2. Consider a Cournot competition model with two firms, 1 and 2. They produce identical goods...
2. Consider a Cournot competition model with two firms, 1 and 2. They produce identical goods in the same market with demand function P= 100-5Q with Q=91 +92. Furthermore, their production process generates pollution to the environment, which increases their cost of production. Their cost functions are given by C1(91,92) = 109,- +5Q and C291,92) = 15922 +45Q. a (10pts) Calculate their equilibrium quantities, price, and profits for both firms. b. (5pts) Consider they collude and form a cartel. That...
Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated...
Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated goods markets. Firm 1 produces goods 1, and firm 2 produces goods 2, and two market demand functions are given by 91 (P1,P2) = 12-2p1 + P2 and 921,P2) = 12-2p2 + P 1. Furthermore, assume that the two firms have the same cost function such that fixed cost is $20 and variable cost is zero. a. (10pts) Calculate the equilibrium prices, quantities and...
Problem 1. Cournot Competition with Two Firms Suppose there are two identical firms engaged in quantity competition (Co...
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...
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)
Question 2 (60 points) Consider two following Cournot competition between two firms, Firm 1 and Firm...
Question 2 (60 points) Consider two following Cournot competition between two firms, Firm 1 and Firm 2. The firms face an inverse demand function P = 600-Q where Q = 91 + 92 is the total output. Each unit produced costs c-$60. Therefore the profit of each farmer is given by π1 (J1.qz) = (600-91-J2)a1-6091 712 (41,42) (600 q1 q2)42-6092 Each firm. i simultaneusly chooses own qi to maximize own profits πί. a) (15 points) Find the Cournot NE quantities...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost function G(91) = 5.59+12. Firm 2 has a cost function C(q2) = 2.5q3 + 18. These firms cannot discriminate, so there is just one price that is determined by the aggregate demand. The inverse demand equation is P(Q) = 600 – 0 Where total supply Q-q1+92. (e) Use your best response equations to mathematically solve for the equilibrium quantities qi 9, Q". equilibrium price...
Consider a Cournot competition with two firms, A and B. The marginal costs of each firm...
Consider a Cournot competition with two firms, A and B. The marginal costs of each firm is MCA = MCB = 40. The inverse demand function is P = 130 - Q. Find the Nash equilibrium quantities for each firm and the market price.
Consider a pure exchange economy with two individuals (A and B) and two goods (x and...
Consider a pure exchange economy with two individuals (A and B) and two goods (x and y). The utility functions are given by UA(xA, yA) = min[xA, yA] UB(xB, yB) = min[xB, yB], where xi and yi are the quantities of the two goods consumed by individual i = A, B. The total endowments are wx = 10 and wy = 5. (a) Represent the indifference curves of both individuals in the Edgeworth box and find the Pareto set. (b)...
1. Consider the following Robinson Crusoe economy. There is one consumer, one producer, two goods X,...
1. Consider the following Robinson Crusoe economy. There is one consumer, one producer, two goods X, Y and two production factors, K, L. The individual has initial endowments of production factors (K,Z) = (50,30). The production function for both goods i = X,Y is F(Ký, Lị) = K L5. (a) Calculate the MRTS for both goods X, Y (b) Calculate the isoquant curve for producing X = V15 (c) Is that possible to produce Y = 9V15 after the individual...
Pure Exchange Model 1. Consider a Pure Exchange Economy with two agents A and B and...
Pure Exchange Model 1. Consider a Pure Exchange Economy with two agents A and B and two goods X and Y in which each agent acts competitively. Their preferences are given by the following utility function U(X,Y)=X13*Y23 Their initial endowments are as follows W=(5,20) w- (25,10) a) Calculate the demand functions for Good X and Good Y for each agent. b) State the equilibrium conditions for this economy. c) Using these conditions and the demand functions found in part a)...
2. Consider a Cournot competition model with two firms, 1 and 2. They produce identical goods in the same market with demand function P= 100-5Q with Q=91 +92. Furthermore, their production process generates pollution to the environment, which increases their cost of production. Their cost functions are given by C1(91,92) = 109,- +5Q and C291,92) = 15922 +45Q. a (10pts) Calculate their equilibrium quantities, price, and profits for both firms. b. (5pts) Consider they collude and form a cartel. That...
Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated goods markets. Firm 1 produces goods 1, and firm 2 produces goods 2, and two market demand functions are given by 91 (P1,P2) = 12-2p1 + P2 and 921,P2) = 12-2p2 + P 1. Furthermore, assume that the two firms have the same cost function such that fixed cost is $20 and variable cost is zero. a. (10pts) Calculate the equilibrium prices, quantities and...
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)
Question 2 (60 points) Consider two following Cournot competition between two firms, Firm 1 and Firm 2. The firms face an inverse demand function P = 600-Q where Q = 91 + 92 is the total output. Each unit produced costs c-$60. Therefore the profit of each farmer is given by π1 (J1.qz) = (600-91-J2)a1-6091 712 (41,42) (600 q1 q2)42-6092 Each firm. i simultaneusly chooses own qi to maximize own profits πί. a) (15 points) Find the Cournot NE quantities...
3. There are two firms that compete according to Cournot competition. Firm 1 has a cost function G(91) = 5.59+12. Firm 2 has a cost function C(q2) = 2.5q3 + 18. These firms cannot discriminate, so there is just one price that is determined by the aggregate demand. The inverse demand equation is P(Q) = 600 – 0 Where total supply Q-q1+92. (e) Use your best response equations to mathematically solve for the equilibrium quantities qi 9, Q". equilibrium price...
1. Consider the following Robinson Crusoe economy. There is one consumer, one producer, two goods X, Y and two production factors, K, L. The individual has initial endowments of production factors (K,Z) = (50,30). The production function for both goods i = X,Y is F(Ký, Lị) = K L5. (a) Calculate the MRTS for both goods X, Y (b) Calculate the isoquant curve for producing X = V15 (c) Is that possible to produce Y = 9V15 after the individual...
Pure Exchange Model 1. Consider a Pure Exchange Economy with two agents A and B and two goods X and Y in which each agent acts competitively. Their preferences are given by the following utility function U(X,Y)=X13*Y23 Their initial endowments are as follows W=(5,20) w- (25,10) a) Calculate the demand functions for Good X and Good Y for each agent. b) State the equilibrium conditions for this economy. c) Using these conditions and the demand functions found in part a)...
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