In the Duopoly Nash-Cournot model, if both firms are government subsidized, then A) both firms' profits will be higher. B) consumers will be worse off. C) the total output will be higher. D) market price will be higher.
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- Suppose a duopoly market can be modeled as a prisoner’s dilemma. Which of the following statements is correct? Group of answer choices -At the equilibrium, firms produce less total output than if there was a monopoly. Consumers are better off than with a monopoly. -At the equilibrium, firms produce more total output than if there was a monopoly. Consumers are better off than with a monopoly. -At the equilibrium, firms produce the same total output as if there was a monopoly. Consumers are better off than with a monopoly. -At the equilibrium, firms produce more total output than if there was a monopoly. Consumers are worse off than with a monopoly. -At the equilibrium, firms produce the same total output as if there was a monopoly. Consumers are worse off than with a monopoly. -At the equilibrium, firms produce less total output than if there was a monopoly. Consumers are worse off than with a monopoly.In the Cournot duopoly model, each firm assumes that (select all that applies) a. Group of answer choices b. the price of its rival is fixed. c. the output of its rival is fixed. d. rivals will match price cuts but will not match price increases. e. rivals will match all reasonable price changes.Which of the following statements about the classic Cournot duopoly model is incorrect? 1)The products of the two firms are homogeneous. 2) It is a static game with complete information. 3) The two firms decide on their prices and let their quantities be dictated demand conditions. 4) There exist examples that have unique Nash equilibrium points.
- For each of the following, indicate whether the statement is True, False, or Uncertain, and explain your answer. (No credit will be given without an explanation.) In the Stackelberg model of duopoly, it is better to be the follower than the leader since the follower gets to observe the leader’s behavior.Consider a duopolistic market in which the two identical firms compete by selecting their quantities. The inverse market demand is P(Q) = 210−Q and each firm has a marginal cost of $15 per unit. Assume that fixed costs are negligible for both firms. Cournot Model Determine the Nash-Cournot equilibrium for this market.(Enter your responses rounded to two decimal places.) Firm 1's quantity: q1= ? units. Firm 2's quantity: q2 = ? units. Market price: P= ? Stackelberg Model Determine the Nash-Stackelberg equilibrium for this market, assuming that Firm 1 is the Stackelberg leader. (Enter your responses rounded to two decimal places.) Firm 1's quantity: q1 = ? units Firm 2s quantity: q2 = ? units. Market price: P = ?Both firms in a Cournot duopoly would enjoy higher profits if: each firm simultaneously increased output above the Nash equilibrium level. the firms simultaneously reduced output below the Nash equilibrium level. each firm simultaneously increased prices above the Nash equilibrium level. one firm reduced output below the Cournot Nash equilibrium level, while the other firm continued to produce its Cournot Nash equilibrium output.
- A homogenous-good duopoly faces an inverse market demand function of p = 150 − Q. Assume that both firms face the same constant marginal cost, MC1 = MC2 = 30. Calculate the output of each firm, the market output, and the market price in a Nash-Cournot equilibrium Re-solve part (a) assuming that the marginal cost of firm 1 falls to MC1 =20 Explain what will happen to each firm’s output, the market output, and the market price if the two firms can collude (e.g., form a cartel)Consider two firms that compete according to the Cournot model. Inverse demand is P (Q) = 16 − Q. Their cost functions are C (q1) = 2q1 and C (q2) = 6q2 (a) Solve for Nash equilibrium quantities of each firm (b) Suppose firm 2 becomes more inefficient and its cost function changes to C (q2) = xq2 where x > 6. How large must x be to cause firm 2 to not want to produce anything in equilibrium?Joe and Rebecca are small-town ready-mix concrete duopolists. The market demand function is Qd = 10,000 – 100P, where P is the price of a cubic yard of concrete and Qd is the number of cubic yards demanded per year. Marginal cost is $25 per cubic yard. Suppose that Joe and Rebecca compete in quantities and competition in this market is described by Cournot model. What are Joe and Rebecca’s Nash equilibrium outputs? What is the resulting price? What do they each earn as profit? How does the price compare to the marginal cost? Joe and Rebecca are small-town ready-mix concrete duopolists. The market demand function is Qd = 10,000 – 100P, where P is the price of a cubic yard of concrete and Qd is the number of cubic yards demanded per year. Marginal cost is $25 per cubic yard. Suppose that Joe and Rebecca compete in quantities and competition in this market is described by Cournot model. What are Joe and Rebecca’s Nash equilibrium outputs? What is the resulting price? What do they each…
- Suppose two companies, Apples and Dell, are a competing duopoly. If both companies charge the high price, they each earn $700 million in economic profit. If both companies charge the low price, they each earn $500 million in economic profit. If one company charges a high price and the other a low price, the company charging the higher price earns $450 million in economic profit and the company charging the lower price earns $800 million in economic profit. 1. What is the Nash equilibrium? Select all possible answers from the answer list. 2. Thinking back to your answer for the Nash equilibrium, can firms do better than the outcome you identified? Explain.Kafue Water and Sewerage Company and Lusaka Water and Sewerage Company are duopolistic firms operating under the Cournot model. The two companies are both supplying Water to Chilanga District whose total demand is given by a linear demand function Q = 720 – 2P = 3q1 + 3q2, where q1 represents water output by Kafue Water, and q2 is water output by Lusaka Water and Sewerage Company. Assume that: Each firm has no production costs Each firm has to decide how much water to supply to the market Given the above information, determine The profit-maximizing output, price, and level of profit for the two companies. The individual level of outputs q1 and q2, as well as the revenue for which the two companies are maximizing profits. Interpret your results in (i) and (ii)Megan and Martha own competing hair salons that are in the same neighborhood. They are both considering offering their clients discounts in order to increase business. The payoff matrix shows their yearly incomes in thousands of dollars if they offer and do not offer discounts to their customers. If Megan offers a discount, Martha should ________. If Megan offers no discount, Martha should ________. A-not discount; discount. B-not discount; not discount. C-discount; not discount D-discount; discount. E-indeterminate
