Consider the Cournot duopoly model. Suppose the inverse demand is given by P(Q) = 200 - Q where Q q1 +q2, and production has no costs. %3D What are the payoffs for each firm? O 200 – q1 and 200 - q2 O (200 – q1-q2)q1- and (200- q1-92)92-92 O 200 – q1 - q2 and 200- q1- 92 O (200 - q1-92)q1 and (200- q- 92)q2 O (200 – q1)qı and (200- q2)q2
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- One of the predictions of the oligopoly model is that: non-price competition is uncommon and price-cutting competition among rivals is common. O prices tend to remain relatively stable despite short-run fluctuations in market demand. the firms' costs of production (raw material, labor, advertising) remain constant over time. only one buyer (monopsony) will result in the long run. MacBook Pro -> G Search or type URL %23 3 4. 7 8 W R Ybok rint An oligopoly producing a homogeneous product is comprised of three firms that act like a cartel. Assume that these three firms have identical cost schedules. Assume also that if any one of these firms sets a price for the product, the other two firms charge the same price. As long as they all charge the same price they will share the market equally; and the quantity demanded of each will be the same. Below is the total-cost schedule of one of these firms and the demand schedule that confronts it when the other firms charge the same price as this firm. Complete the marginal-cost and marginal- revenue schedules facing the firm. erences Mc Graw Hill Output Total cost Marginal cost Price Quantity demanded Marginal revenue 0 1 23456 7 8 $0 180 300 480 720 1,020 1,380 1,800 2,280 Short Anewor LA JUL 26 $780 720 660 600 540 480 420 360 Toolbar navigation (a) What price would be charged, what output would be produced, and what profit would be made by this firm? (b) If the firms…Consider a Cournot Duopoly model. The inverse demand for their products is given byP = 200 − 6Q, where Q is the total quantity supplied in the market (that is, Q = Q1 + Q2). Each firm has an identical cost function, given byT Ci = 2Qi, for i = 1, 2.(a) In the Cournot model, what does each firm choose?(b) What is the timing of each firm’s decision?(c) Find the Nash equilibrium quantities (Q∗1, Q∗2)?(d) What is the equilibrium price? Just help with c and d here please
- Economics Consider the following Cournot duopoly. Both firms produce a homogenous good. The demand function is Q=25-P₁ where is the total quantity produced. Firm 1's marginal cost is C₁ = 3. Firm 2's marginal cost of production is CH = =4 0.7. Firm 2 knows its own cost function and firm 1's cost function. with probability 0.3 O 165/30 Firm 1 knows its own cost function and the probability distribution of firm 2's marginal cost. In a Bayesan NE, the strategy of firm 2 is: O 7.2 (6,8) and C O (6.9,7.9) = 2 with probabilityQUESTION 4 If Bertrand duopolists respectively have marginal costs of 10 (firm 1) and 8 (firm 2), which of the prices below can arise in Nash equilibrium? (Assume that prices must be quoted in full cents, e.g. $0.99 or $1, but $0.995 is not possible. If prices are equal, half of the customers buy from each firm.) O Both firms charge $8.01. Firm 1 charges $10 and firm 2 charges $8. Both firms charge $9. Firm 1 charges $10 and firm 2 charges $9.99.1. Best responses in a Cournot Oligopoly Firm A and Firm B sell identical goods Total market demand for the good is: The inverse demand function is therefore 1 P(QM) = 780 -Q=780 -0.02222QM 45 QM is total market production (i.e., combined production of firm's A and B. That is: Q(P) = 35, 100- 45P 2M = A +QB As a result, the inverse demand curve for each firm is: P(QA, QB) = 780- -1/32₁-752 45 Unlike the example in class, the two firms have different costs. = 4000A TCA (QA) TCB (QB) = 260QB = 780 -0.022220A -0.02222QB a. Using the demand function and the cost functions above, what is firm A's profit function. b. Using the profit function above and assuming that firm B produces Qg, calculate what firm A's best response is to firm B’s decision to produce QB- Note: Firm A's best response should be a function of B
- 1. In class, we showed that in a Cournot duopoly with demand p: ab(91 +92) and marginal costs of c₁ for firm 1 and c2 for firm two, the firms' best response functions were as follows: a C1 92 2b 91 a-c2 92 - 2b 91 822 and (a) Find equilibrium expressions for q₁ and q in terms of a, b, C1, and C2 only. (b) Show that the equilibrium price will be p": = a + c1 + €2 3Consider a duopoly market with 2 firms. Aggregate demand in this market is given byt Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MC = 20, i=A,B. « Assume the firms compete a la Cournot. e a) Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. b) Describe what a best-response curve is and how to find it. c) Derive the best-response function for each firm. d) What are the equilibrium quantities? e) What is the total quantity supplied on this market? f) What is the equilibrium price in this market?Consider a oligopoly with two firms. Each firm has constant marginal cost of 3 dollar per unit and zero fixed costs. Suppose the market demand curve is P = 15-Q, where Q=Q1+Q2 is the sum of the quantities produced by both firms. Suppose each firm can produce either 1, 2, 3, or 4 units. Which of the following is an optimal collusive outcome for the firms? O Each firm produces 2 units. Each firm produces 4 units. O Each firm produces 3 units. O Each firm produces 1 unit.
- Help me please2. Consider a Cournot duopoly with a demand function of p=10-Q (where Q=9₁ +9₂) and a constant marginal cost of c>0. a) Find the two firms' best-response functions. b) Find the Nash equilibrium output. c) What happens to the equilibrium market price as c increases (assuming that c remains below 10)? d) What happens to the equilibrium market price if c increases above 10?Consider two firms that produce identical products in a situation of duopoly. The two firms have the same marginal cost. Which of the following statements is true: O Under Cournot competition, the equilibrium price is lower than the equilibrium price under Bertrand competition O Under Cournot competition, the equilibrium price will be at the same level as the equilibrium price under perfect competition Under Cournot competition, the equilibrium price will be at the same level as the price under a monopoly O Under Bertrand competition, the equilibrium price will be at the same level as the equilibrium price under perfect competition O The two firms will end up producing different levels of output
