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Consider the following oligopolistic market. In the first stage, Firm 1 chooses quantity q₁. Firms 2 and 3 observe Firm 1's choice, and then proceed to simultaneously choose q2 and 93, respectively. Market demand is given by p(Q) = 100 – Q, and Q = 9₁ +9₂ +93. Firm 1's costs are c₁ (9₁) = 1q₁, firm 2's costs are c₂(9₂) = 6q2 and firm 3's costs are C3(93) = 693. Starting from the end of the game, you can express Firm 2's best response function in terms of 9₁ and 93, and you can similarly express Firm 3's best response function in terms of q₁ and q₂. Using these, answer the following questions.
a) If Firm 1 chooses q₁ = 9, what quantity will Firm 2 choose?
b) If Firm 1 chooses q₁ = 100, what quantity will Firm 2 choose?
c) In the subgame perfect Nash equilibrium of this game, firm 1 produces what quantity?
d) In the subgame perfect Nash equilibrium of this game, firm 2 and firm 3 each produce what quantity?
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- Consider the following oligopolistic market. In the first stage, Firm 1 chooses quantity q. Firms 2 and 3 observe Firm 1's choice, and then proceed to simultaneously choose q2 and q1, respectively. Market demand is given by p(O) = 100 – Q, and Q = q1 + 42 + 41. Firm 1's costs are c, (41) = 34, firm 2's costs are cz(4,) = 34; and firm 3's costs are cs(qs) = 3q,. Starting from the end of the game, you can express Firm 2's best response function in terms of q and q3, and you can similarly express Firm 3's best response function in terms of qi and q2. Using these, answer the following questions. a) If Firm 1 chooses q1 = 9, what quantity will Firm 2 choose? b) If Firm 1 chooses qi = 100, what quantity will Firm 2 choose? c) in the subgame perfect Nash equilibrium of this game, firm 1 produces what quantity? d) In the subgame perfect Nash equilibrium of this game, firm 2 and firm 3 each produce what quantity?Consider the following oligopolistic market. In the first stage, Firm 1 chooses quantity q1. Firms 2 and 3 observe Firm 1's choice, and then proceed to simultaneously choose q2 and q3, respectively. Market demand is given by p(Q) = 100 – Q, and Q = q1 ++ q2 + q3. Firm 1's costs are c (q1) = lq,, firm 2's costs are c2(q2) = 442 and firm 3's costs are c3(q3) = 4q3. Starting from the end of the game, you can express Firm 2's best response function in terms of qi and 93, and you can similarly express Firm 3's best response function in terms of q and q2. Using these, answer the following questions. a) (0.5 point) If Firm 1 chooses q = 12, what quantity will Firm 2 choose? b) (0.5 point) If Firm 1 chooses g = 100, what quantity will Firm 2 choose? c) (1 point) In the subgame perfect Nash equilibrium of this game, firm 1 produces what quantity? d) (0.5 point) in the subgame perfect Nash equilibrium of this game, firm 2 and firm 3 each produce what quantity? Finish attempt .. ious page Site…Consider the following oligopolistic market. In the first stage, Firm 1 chooses quantity q1₁. Firms 2 and 3 observe Firm 1's choice, and then proceed to simultaneously choose 92 and 93, respectively. Market demand is given by p(Q) = 100 – · Q, and Q = 9₁ +92 +93. Firm 1's costs are c₁ (9₁) = 591, firm 2's costs are c₂ (92) = 492 and firm 3's costs are C3 (93) = 493. C2 Starting from the end of the game, you can express Firm 2's best response function in terms of 9₁ and 93, and you can similarly express Firm 3's best response function in terms of 9₁ and 92. Using these, answer the following questions. If rounding is needed, write your answers to 3 decimal places. a) If Firm 1 chooses q₁ = 3, what quantity will Firm 2 choose? b) If Firm 1 chooses 9₁ = 100, what quantity will Firm 2 choose? c) In the subgame perfect Nash equilibrium of this game, firm 1 produces what quantity? d) In the subgame perfect Nash equilibrium of this game, firm 2 and firm 3 each produce what quantity?
- Suppose the total demand for specialty coffee per hour in Ruston is Q = 640 - 80P. There are six (n = 6) monopolistically competitive firms currently in the market selling some variety of specialty coffee, each with total cost curves given by: TC₁ = 20+q; +0.0125q²| a. Find the proportional demand faced by one coffee shop, denoted Firm i. That is, suppose the firms have equal market share and determine the demand function for a single firm. b. Calculate the optimal quantity produced by Firm i. c. Calculate Firm i's profits. Will there be entry or exit by other coffee shops over time? d. Provide a generic graph the long-run outcome for Firm i given your prediction from (c). Label curves, axes, and intersection points.There are two firms that are producing identical goods in a market characterized by the inverse demand curve P = 60 - 2Q, where Q is the sum of Firm 1's and Firm 2's output, q₁+q2. Each firm's marginal cost is constant at 12, and fixed cost are 0. Answer the following question, assuming that the firms are Cournot competitors. a. Calculate each firm's reaction function and illustrate them graphically (15 points) b. How much output does each firm produce? (12.5 points) c. What is the market price? (7.5 points) d. How much profit does each firm earn? What is the industry profit? (10 points)Consider a Cournot duopoly with the following inverse demand function: P = 4,000 – 4Q1 - 4Q2. The firms' marginal costs are identical and are given by MC¡(Q¡) = 120QI. Based on this information, firm 1 and 2's reaction functions are Multiple Choice r1(Q2) = 485 - 0.5Q2 and r2(Q1) = 485 – 0.5Q1. r1(Q2) = 488 – 0.5Q2 and r2(Q1) = 488 – 0.5Q1. r1(Q2) = 33.3 – 0.25Q2 and r2(Q1) = 33.3 – | 0.25Q1. r1(Q2) = 288 - 0.5Q1 and r2(Q1) = 288 – %3D %3| 0.5Q2.
- 1. Two firms (A and B) play a competition game (i.e. Cournot) in which they can choose any Qi from 0 to ¥. The firms have the same cost functions C(Qi) = 10Qi + 0.5Qi2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB). Now assume firm A chooses quantity first. Firm B observes this choice and then chooses its own quantity. d)Firm A has MRA = 150 – 4QA/3. What are the equilibrium QA and QB selected in this game? e)What is the equilibrium price, and how much profit does each firm collect?Consider a market with demand P(Q) = 39-3Q in which two firms compete. Firm 1 faces TC1(Q) = 18Q and firm 2 faces TC2(Q) = 9Q. Suppose that firm 1 chooses their quantity first, then firm 2 sees that quantity, and then firm 2 sets their quantity (Stackelberg duopoly). (a) Find the reaction function for firm 2 (b) What is the marginal revenue for firm 1 (given that they know that firm 2 will best respond)? (c) Find the Stackelberg equilibrium (d) Determine profits for each firm and consumer surplus. (e) Which firm is better off?What is the homogeneous-good duopoly Cournot equilibrium if the market demand function is Q=4,000-1,000p, and Firm l's and Firm 2's variable cost functions are V (q1) = 0.22qlandV (q2) = 0.22q2 , respectively. Select one alternative: Both firms produce 1300 units of outpuit. Both firms produce 1280 units of output. Both firms produce 1240 units of output. Both firms produce 1260 units of output.
- Consider two price-setting oligopolies supplying consumers in a certain region of a country. Firm 1 employs many of the people living there and the local government subsidizes its operations. In all other respects, the firms are identical-they have the same constant marginal cost, MC = 4, and produce the same good. The demand function for Firm 1 is q1 = 600 - 50p1 - 20p2 and for Firm 2 is q2 = 600 - 50p2 - 20p1, where p1 is Firm 1's price and p2 is Firm 2's price. a. What are the Nash-Bertrand equilibrium prices and quantities without the subsidy? b. What are they if Firm 1 receives a per-unit subsidy of S = 1? Compare the two equilibria.Consider two firms that produce the same good and competesetting quantities. The firms face a linear demand curve given by P(Q) =1 − Q, where the Q is the total quantity offered by the firms. The costfunction for each of the firms is c(qi) = cqi, where 0 < c < 1 and qiis the quantity offered by the firm i = 1, 2. Find the Nash equilibriumoutput choices of the firms, as well as the total output and the price, andcalculate the output and the welfare loss compared to the competitiveoutcome. How would the answer change if the firms compete settingprices? What can we conclude about the relationship between competitionand the number of firms?Consider a Cournot duopoly with the following inverse demand function: P = 400 − 3Q1 − 3Q2 . The firms' marginal costs are identical and are given by MCi(Qi) = 2Qi. Based on this information, firm 1 and 2's marginal revenue functions are Multiple Choice MR1(Q1,Q2) = 400 − 6Q1 − 3Q2 and MR2(Q1,Q2) = 400 − 3Q1 − 6Q2. MR1(Q1,Q2) = 200 − 6Q2 and MR2(Q1,Q2) = 200 − 3Q1. MR1(Q1,Q2) = 200 − 3Q1 − 3Q2 and MR2(Q1,Q2) = 200 − Q1 − 3Q2. MR1(Q1,Q2) = 400 − 6Q1 − 6Q2 and MR2(Q1,Q2) = 400 − 6Q1 − 6Q2.
