Consider two firms that produce the same output good. The cost function for the first firm...
Consider two firms that produce the same output good. The cost function for the first firm is ?1 (?) = 2? and the cost function of the second firm is ?2 (?) = ?. The market demand for the firms' product is given by ?(?) = 20 − 3?. Assume that the two firms play a duopoly game, in which they choose their quantities simultaneously. Find the Cournot equilibrium of this market
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Consider two firms that produce the same output good. The cost
function for the first firm...
Problem three Two firms in a homogencous-product duopoly market (firm 1 and firm 2) have the following cost and demand functions: TC 4 TC24q2 and Q-40-P: Q-+2 a Derive the reaction function/best-resp...
Problem three Two firms in a homogencous-product duopoly market (firm 1 and firm 2) have the following cost and demand functions: TC 4 TC24q2 and Q-40-P: Q-+2 a Derive the reaction function/best-response function for each firm. b) Assume that the firms play a simultaneous move game. Characterize the Nash Equilibrium. cSuppose the two firms play game is a sequential game with the following timing of events: 1. Firm 1 chooses output 2. Firm 2 observes firm 1's output and then...
2. There are two firms in a market that produce an identical good, both with marginal...
2. There are two firms in a market that produce an identical good, both with marginal cost MC=10. Fixed costs are zero for both firms. Suppose inverse demand for a product is P= 130 – e a) If the firms set the monopoly price and split the monopoly quantity. What quantities do they choose and what profit do they receive? b) Suppose they set quantities simultaneously. That is, suppose the firms play a Cournot game. What quantities do they choose...
2. (30 pts) There are two firms in a market, producing the same good. The firms...
2. (30 pts) There are two firms in a market, producing the same good. The firms simultaneously choose their output levels, qı for firm 1 and q2 for firm 2. The price adjusts according to the inverse demand function p= 65 – (91 +92). Each firm has a per-unit (average) cost of 5. Each firm's payoff is its profit. a. (5 pts) Find firm l's profit as a function of qı and q2 (profit equals revenue minus total cost). b....
Consider two firms (Firm A and Firm B) competing in this market. They simultaneously decide on...
Consider two firms (Firm A and Firm B) competing in this market. They simultaneously decide on the price of the product in a typical Bertrand fashion while producing an identical product. Both firms face the same cost function: C(qA) = 12qA and C(qB) = 12qB, where qA is the output of Firm A and qB is the output of Firm B. The demand curve is P = 30 - Q. (i) What will be the Bertrand-Nash equilibrium price (pB) chosen...
1. Consider the following asymmetric version of the Cournot duopoly model. Two firms compete by simultaneously...
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...
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...
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...
Consider the following game. Firm 1, the leader, selects an output q1, after which firm 2,...
Consider the following game. Firm 1, the leader, selects an output q1, after which firm 2, the follower, observes the choice of q1, and then selects its own output, q2. The resulting price is one satisfying the industry demand curve P=200-q1-q2. Both firms have zero fixed costs and a constant marginal cost of c=60. Derive the equation for the follower firm’s best response function. Draw this equation on a graph with q2, on the vertical axis and q1 on the...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
Consider a duopoly Cournot game, where Firm 1 and Firm 2 have the same marginal cost...
Consider a duopoly Cournot game, where Firm 1 and Firm 2 have the same marginal cost of production c = 3. The total quantity produced by the firms is Q. The demand function is p(Q) = 84 − Q. a.) Write down Firm 1’s profit function. b.) * Calculate Firm 1’s best-response function. c.) * Find the pure-strategy Cournot-Nash equilibrium of this game. d.) * Show that the firms make strictly positive profit in equilibrium. e.) Explain intuitively why the...
Cournot: Consider a Cournot duopoly in which firms A and B simultaneously choose quantity. Both 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.
Problem three Two firms in a homogencous-product duopoly market (firm 1 and firm 2) have the following cost and demand functions: TC 4 TC24q2 and Q-40-P: Q-+2 a Derive the reaction function/best-response function for each firm. b) Assume that the firms play a simultaneous move game. Characterize the Nash Equilibrium. cSuppose the two firms play game is a sequential game with the following timing of events: 1. Firm 1 chooses output 2. Firm 2 observes firm 1's output and then...
2. There are two firms in a market that produce an identical good, both with marginal cost MC=10. Fixed costs are zero for both firms. Suppose inverse demand for a product is P= 130 – e a) If the firms set the monopoly price and split the monopoly quantity. What quantities do they choose and what profit do they receive? b) Suppose they set quantities simultaneously. That is, suppose the firms play a Cournot game. What quantities do they choose...
2. (30 pts) There are two firms in a market, producing the same good. The firms simultaneously choose their output levels, qı for firm 1 and q2 for firm 2. The price adjusts according to the inverse demand function p= 65 – (91 +92). Each firm has a per-unit (average) cost of 5. Each firm's payoff is its profit. a. (5 pts) Find firm l's profit as a function of qı and q2 (profit equals revenue minus total cost). b....
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...
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...
Problem 1: Suppose that the market demand function is given by q-80-2p. All firms in the industry have marginal cost of 10 and no fixed cost. In this problem, the firms compete in quantities. (a) What is the equilibrium price, quantity, consumer surplus, profit (producer surplus) and deadweight loss if there is only one firm in the industry? (b) Now answer the same question if there are two firms in the industry (duopoly). How does your answer compare to the...
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