Two firms (A and B) play a simultaneous-move quantity competition game (i.e. Cournot competition) in which...
Two firms (A and B) play a simultaneous-move quantity competition game (i.e. Cournot competition) in which they can choose any Qi ∊ [0, ). The firms have cost functions C(Qi) = 10Qi + 0.5Qi^2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB) and have MRi = 220 – 2Qi – Q-i.
a. What is firm A’s profit as a function of QA and QB?
b. What is firm A’s best response to an arbitrary QB selected by firm B?
c. What are the equilibrium QA and QB selected in this game?
d. What is the equilibrium price, and how much profit does each firm collect?
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Two firms (A and B) play a simultaneous-move quantity
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3. Cournot model: Quantity competition in simultaneous move homogeneous product duopoly explain in words. The market...
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Mathematical Question 3 (30pts) 3. Consider two firms are performing Cournot price competition in two differentiated...
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Suppose two firms (Firm 1 and Firm 2) are engaged in Cournot competition. Both firms are...
Suppose two firms (Firm 1 and Firm 2) are engaged in Cournot competition. Both firms are currently producing the Nash equilibrium quantities. If firm 1 were to unilaterally reduce their production by one unit, what would happen to firm 1's profit? Firm 1's profit would decrease Firm 1's profit would increase Firm 1's profit would stay the same There is not enough information to answer this question
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3. There are two firms that compete according to Cournot competition. Firm 1 has a cost...
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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.
5. (i) Consider a Cournot quantity setting game of simultaneous moves. Solve for the rationalizable strategies (quantities) for the two firms that simultaneously choose quantities to produce, which then determines the price at which the produced goods will sell. The marginal cost of production is 4 for firml and 2 for firm 2. P = 40-91-92 Find the equilibrium price and the profits of each firm. (15) ii) Now model the game as a sequential move game where firm 1...
3. Cournot model: Quantity competition in simultaneous move homogeneous product duopoly explain in words. The market for bricks consists of two firms that produce identical products. Competition in the market is such that each of the firms simultaneously and independently produces a quantity of output, and these quantities are then sold in the market at a price that is determined by the total amount produced by the two firms. Firm 2 has a patented technology that provides it with a...
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)
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...
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...
Suppose two firms (Firm 1 and Firm 2) are engaged in Cournot competition. Both firms are currently producing the Nash equilibrium quantities. If firm 1 were to unilaterally reduce their production by one unit, what would happen to firm 1's profit? Firm 1's profit would decrease Firm 1's profit would increase Firm 1's profit would stay the same There is not enough information to answer this question
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...
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