5. Consider a version of the Cournot duopoly game, which will be thoroughly analyzed in Chapter...
5. Consider a version of the Cournot duopoly game, where firms 1 and 2 simul taneously and independently select quantities to produce in a market. The quantity selected by firm i is denoted q, and must be greater than or equal to zero, for i -1,2. The market price is given by p - 100 - 2q Suppose that each firm produces at a cost of 20 per unit. Further, assume that each firm's payoff is defined as its profit....
1. Consider the following asymmetric version of the Cournot duopoly model. Two firms compete by simultaneously choosing the quantities (q, and q2) they produce. Their products are homogeneous, and market demand is given by p- 260-2Q, where Q-q +q2. Firm 1 has a cost advantage; Firm 1 produces at zero cost, while Firm 2 produces at a constant average cost of 40. (The difference in costs is what makes this an asymmetric game.) a. Derive both firms' profit functions, as...
7. Consider an asymmetric Cournot duopoly game, where the two firms have different costs of production. Firm 1 selects quantity qı at a pro- duction cost of 291. Firm 2 selects quantity 92 and pays the produc- tion cost 492. The market price is given by p = 12 – 91 - 92. Thus, the payoff functions are u(91,92) = (12 – 91 - 92.91 – 291 and uz(9192) = (12 – 91 - 92)92 – 492. Calculate the firms'...
Cournot: Consider a Cournot duopoly in which firms A and B simultaneously choose quantity. Both firms have constant marginal cost of $20 and zero fixed cost. Market demand is given by: P = 140 − qA − qB. (a) Derive the best-response functions for each firm and plot them on the same graph. (b) Calculate the profits of each firm in the Nash Equilibrium outcome.
EC202-5-FY 10 9Answer both parts of this question. (a) Firm A and Firm B produce a homogenous good and are Cournot duopolists. The firms face an inverse market demand curve given by P 10-Q. where P is the market price and Q is the market quantity demanded. The marginal and average cost of each firm is 4 i. 10 marks] Show that if the firms compete as Cournot duopolists that the total in- dustry output is 4 and that if...
Question 5 Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 200 – 2(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $60. The cournot-duopoly equilibrium profit for each firm is _____. Hint: Write your answer to two decimal places. QUESTION 6...
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...
Exercise 1 Let consider the Cournot game with I = {1, 2}, let the inverse demand function be equal to p(Q) = 250 - 100 (Q = 41 + 2) and the non linear cost function C(q) = 72 + 2q for both firms. Compute the Cournot-Nash equilibrium. Indicate also some collusive outputs. Do the same with I = {1,2,3}. Question 1 Thinks to be the manager of a firm and you are competing in a duopoly à la Bertrand...
6. Entry Deterrence 2: Consider the Cournot duopoly game with demand p= 100 - (qı+q2) and variable costs c;(q;) = 0 for i € {1, 2}. The twist is that there is now a fixed cost of production k > 0 that is the same for both firms. Assume first that both firms choose their quantities simultaneously. Model this as a normal-form game. b. Write down the firm's best-response function for k = 1000 and solve for a pure-strategy Nash...
1. A homogeneous products duopoly, Paper co and Wow Paper Inc, is considering new market in Brazil and it faces a market demand function given P = 300 – 3Q, where Q=Q1 +Q2. Both firms have a constant marginal cost MC = 100. e) Since Paper Co has timber production for the paper in Amazon, their MC to produce paper would be lower than Wow Paper Inc. What are the Cournot equilibrium quantities and industry price when one firm (Wow...