The inverse market demand curve is P = 170 - 40. Two firms in this market evenly split the output. Each firm produces i product at a constant marginal cost of $10. Which of the following statements is/are TRUE? I. If one firm produces 2 more units of output, its profits will rise to $864. II. If neither firm cheats, each firm will earn a profit of $800. III. If one firm produces 3 more units of output, the other firm's profits will fall to $680. I and II I and III II and III
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- Consider the following Stackelberg duopoly. Both firms produce a homogenous good. Firm 1 chooses how much to supply first. Firm 2 chooses how much to supply after observing the quantity supplied by firm 1. The market demand is Q= 100 – 4 P. For firm i, the total cost of production is TC(q) =5q,+2. What is the optimal quantity supplied by firm 12 10 20 30 40 QUESTION 6 Consider the following Stackelberg duopoly. Both produce a homogenous good. Firm 1 chooses how much to supply first. Firm 2 chooses how much to supply after observing the quantity supplied from firm 1. The market demand is Q= 100 - 4P. For firm i, the total cost of production is TC(q) =5q,+2. What is the market clearing price? O 10 O 15 20 O 25onsider a homogenous good industry with four firms. Total demand is given by D(p)=200-p.The variable (=marginal) cost of each of the firms is c1=10, c2=20, c3=30 and c4=35. Firms compete in prices. Suppose firms 1 and 2 merge into one entity and produce with a marginal cost of 15. Which of the following statements is correct? After the merger, total welfare increases by $500. After the merger, total welfare decreases by $500. After the merger, total welfare increases by $1000. After the merger, total welfare decreases by $1000. None of the above.1. The market (inverse) demand function for a homogeneous good is P(Q) = 10 - Q. There are two firms: firm 1 has a constant marginal cost of 2 for producing each unit of the good, and firm 2 has a constant marginal cost of 1. The two firms compete by setting their quantities of production, and the price of the good is determined by the market demand function given the total quantity. a. Calculate the Nash equilibrium in this game and the corresponding market price when firms simultaneously choose quantities. b. Now suppose firml moves earlier than firm 2 and firm 2 observes firm 1 quantity choice before choosing its quantity find optimal choices of firm 1 and firm 2.
- 7. Jie is a firm manager deciding its sales quantity strategy. His firm is in a market with another competitor, and he is the leader in the sequential game. Collusion is impossible. The market inverse demand function is P = 16 – Q, where Q is the total quantity of q? the production. The cost functions of Jie's firm and the other firm are c(g) and c(q) = q?, respectively. So Jie should set the quantity as С. 4 A. 8 В. 6 D. 2QUESTION 1A) Two cournot competitors face inverse demand P = 50 - Q. Where, Q = q1+q2, is the total output of firms 1 and 2. What are the equilibrium output levels for q1 and q2, If firm 1 marginal cost is 1, and firm 2's marginal cost is 12? QUESTION 1B. Continuing with the inverse demand, P = 50 - Q, if each firm has a marginal cost of 0, what is the difference between the equilibrium price under Cournot competition and under Bertrand competition? b. C. d. a. The Cournot price is higher than the Bertrand price by 50. The Cournot price is lower than the Bertrand price by 25. The Cournot price is higher than the Bertrand price by 50/3. Equilibrium prices under Cournot and Bertrand are the same, so the difference is zero.HP and Sony compete primarily by price. Each firm must choose either a high price or a low price simultaneously. Use the following information to create the profit matrix: If HP and Lenovo both set high prices, HP’s profit is $40 million and Sony’s profit is $35 million. If HP sets high price and Sony sets low price, HP’s profit is $25 million and Sony’s profit is $40 million. If HP sets low price and Sony sets high price, HP’s profit is $50 million and Sony’s profit is $10 million. If HP and Sony set low prices, HP has $20 million and Sony has $15 million. Please answer the follow questions: Does Sony have a dominant strategy? HP? If so, which one? If HP and Sony maximize their profits non-cooperatively, what is the Nash-equilibrium for this profit matrix? Instead, if HP and Sony maximize their joint profits cooperatively, what is the equilibrium? Assume they keep their agreements.
- Consider an industry with two identical firms (denoted firm 1 and 2) producing a homogenous good. Firms compete in quantities. Firm 1 has a constant marginal cost of 20. Firm 2 has a constant marginal cost of 80. Demand in the industry is given by D(p) = 380 - p. Let q1 and 92 denote the quantities of firm 1 and 2, respectively. Derive the Nash equilibrium in quantities. What is the total production in this industry?Two firms compete in selling identical widgets. They choose their output levels Q1 and Q2 simultaneously and face the demand curve P = 30 - Q where Q = Q1 + Q2. Until recently, both firms had zero marginal costs. Recent environmental regulations have increased Firm 2’s marginal cost to $15. Firm 1’s marginal cost remains constant at zero. TRUE-FALSE: Is the following statement true of false? ”As a result, the market price will rise to the monopoly level.” Solve for the Cournot equilibrium and write a convincing explanation of your answer.The table shows the demand curve for monster trucks. There are two monster truck producers. For simplicity, assume that the cost of producing a monster truck is zero. (AC=0, FC=0) Q demanded Price 1 $18 2 $16 3 $14 4 $12 5 $10 6 $9 7 $7 8 $6 9 $5 Assume the two producers initially collude to maximize profits, splitting production and profits evenly. What price will they charge? $___________ What is the total quantity produced? __________monster trucks What are the profits for each firm? $___________
- 12. Two firms with differentiated products are competing in price. Firm A and B face the following demand curves: QA = 90 – 2PĄ + Pg and QB = 140 – 2Pg + PA respectively. Assume production is costless. a. Give equations for and graph each firm's reaction curve. b. If both firms set their prices at the same time, what is the Nash equilibrium price, quantity, and profit for each firm? c. Suppose A sets its price first and then B responds. What price and quantity does each firm set now? Is it advantageous to move first? d. Compare the profits from part b and c. Which firm benefits more from the sequential price choosing?Two firms compete on price every year. The inverse demand function each firm faces depends on which firm has chosen the lowest price that year. The one that did captures the entire market. If, on the other hand, both prices are the same then they split the market evenly. Consumers round up prices to the nearest integer. For the firm with the lowest price p, demand is given by: q = 24-2p: Marginal costs are constant and equal to $4 for both firms. a. Define the Normal form of the stage game and determine the Nash Equilibria, the Cooperative Equilibrium and the Optimal Deviation from cooperation. b. For the once repeated (2 stages) game, determine if a Nash Equilibrium exists that improves on simply playing the (better) Nash Equilibrium of the stage game twice c. For the infinitely repeated game, determine what the interest rate would have to be to prevent the firms from cooperating. d*. Determine the relation between the interest rate and the number of punishment periods in a…Table 2 below represents the payoff matrix for two firms, X and Y, who compete with each other. Payoffs are in millions of pounds (£) profit. Each firm may choose one of two strategies i.e. set a high price for its output or set a low price for its output. Neither firm knows what strategy the other will adopt. Table 2 11. Firm Y High Price Low Price Firm X High Price X-£7mn, Y-£7mn X=£1mn, Y=£15mn Low Price X-£15mn, Y-£1mn X=£4mn, Y=£4mn In the absence of collusion, which combination of strategies is most likely to occur? a) X sets a low price and Y sets a low price. b) X sets a high price and Y sets a low price. c) X sets a low price and Y sets a high price. d) X sets a high price and Y sets a high price.