the output of each firm, market output, and price in (a) a collusive equilibrium or (b) a Nash-Cournot equilibrium. (Hint: See Solved Problem 14.10.) M
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- is Q = a - P/2. If there are 4 firms in an industry and marginal cost is MC = 20, then the price in Nash equilibrium is P = 56. What is a? Use the formula below, (P -MC)/P =1/nµThe demand the duopoly firms face is p = 100 – 2Q where Q = q1 + q2. Each firm has the following cost function: c(qi) = 40 + qi2/2, i = 1, 2. Using calculus, determine the Stackelberg equilibrium. determine the Cournot equilibrium. plz answer correct calculation asap plz Dont answer by pen pepar plzP3
- Archer Daniels Midland (ADM) and Cargill are the biggest makers of high-fructose corn syrup (HFCS), used to sweeten Coke, Pepsi, and other non-diet soft drinks. Each firm is currently choosing between increasing or decreasing their price for HFCS. The table below gives each firm's profits in each possible situation. A is Archer Daniels Midland and C is Cargill. For purposes of this question, ignore the existence of other HFCS makers. Cargill P increase P decrease P increase A: $500 million A: $200 million C: $400 million C: $500 million ADM P decrease A: $600 million A: $350 million C: $200 million C: $300 million a. Assuming the two firms do not cooperate, does either have a dominant strategy? If so, what is it? b. If ADM and Cargill decide to cooperate, how, if at all, will the outcome differ from part a? Would this case be an evample of a repeated or a pon-reneated game?Time remaining: 00:09:51 Economics The market demand function is Q=10,000-1,000p. Each firm has a marginal cost of m=$0.16. Firm 1, the leader, acts before Firm 2, the follower. Solve for the Stackelberg-Nash equilibrium quantities, prices, and profits. Compare your solution to the Cournot-Nash equilibrium. The Stackelberg-Nash equilibrium quantities are: q1=___________ units and q2=____________units The Stackelberg-Nash equilibrium price is: p=$_____________ Profits for the firms are profit1=$_______________ and profit2=$_______________ The Cournot-Nash equilibrium quantities are: q1=______________units and q2=______________units The Cournot-Nash equilibrium price is: p=$______________ Profits for the firms are profit1=$_____________ and profit2=$_______________Suppose that identical duopoly firms have constant marginal costs of $20 per unit. Firm 1 faces a 110-2p1 + P2, where q1 is Firm 1's output, p1 is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is 92 110-2p2 + p1. What is Firm 1's profit demand function of 9₁ under the Nash-Bertrand equilibrium, assuming no fixed costs? = =
- Question 1 Suppose the romaine lettuce industry is a Cournot duopoly with the following two firms: Amalgamated Romaine (a) and Best Romaine (b). The (inverse) market demand schedule is: p = 262 -0.5Q Amalgamated Romaine has the following cost structure: MCATC₁ = $6 Best Romaine has a different cost structure: MC₁ = ATC₁ = $8 Find the following in Cournot-Nash equilibrium. a. Output of Amalgamated Romaine = b. Output of Best Romaine = c. Cournot duopoly equilibrium price = $ units units 3 ptsThere are two firms in a market and they compete in a Nash-Cournot manner. Firm 1 faces the demand function p1(g1,92) = 200 - 91 - 92, and has a total cost function TC1 = (91)2. Firm 2 faces the demand function p2(91,92) = 160 - 92 - 91, and has a total %3D cost function TC2 = (92)2. Answer each of the following questions. a. Find the Nash-Cournot equilibrim output and price v for firm 1. b. Find the Nash-Cournot equilibrim output v and price v for firm 2.Consider the Bertrand model and answer the question below related to the content. Assume that each firm in the Bertrand Duopoly model can only choose non-negative integer quantities: 0, 1, 2, ... . Assume the demand is Q(P)=10-P and the marginal cost is 0 for each firm. Given this information, which of the following is FALSE? [Hint: Check values of profit functions.] A. If firm 2 sets price equal to 1, then the best response of firm 1 to this price is 1 B. If firm 2 sets price equal to 4, then the best response of firm 1 to this price is 4 C. If firm 2 sets price equal to 2, then the best response of firm 1 to this price is 1
- Duopoly: 1. Consider a duopoly game with 2 firms. The market inverse demand curve is given by P(Q) = 120-Q, where Q = 9₁ +9₂ and q; is the quantity produced by firm i. The firm's long run total costs are given by C₁(9₁)=2q₁ and C₂(92)=92, respectively. a. Determine the Nash Equilibrium for Cournot competition, in which firms compete based on quantity. What is each firm's best response as a function of the other firm's output? Graph these best response functions in on the same graph. Compute the associated payoffs for each firm. b. Determine the Nash Equilibrium for Bertrand competition, in which firms compete based on price and stand ready to meet market demand at that price. What is each firm's best response as a function of the other firm's price? Graph these best response functions in on the same graph. Compute the associated payoffs for each firm. Game ThThe following integrated series of questions relates to several sections in the text. Scenario 2: Suppose a stream is discovered whose water has remarkable healing powers. You decide to bottle the liquid and sell it. The market demand curve is linear and is given as follows: P = 30 -Q The marginal cost to produce this new drink is $3. Refer to Scenario 2. What will be the price of this new drink in the long run if the industry is a Cournot duopoly? A. $3 В. $9 C. $13.50 D. $12 E. None of the above2) Assume that there are 2 firms producing an identical product. Both firms have the same total cost function TC(q) =q2. The inverse demand function for the firms' output is p=120 Q, where Q is the total output and p is price. 1. What are the equilibrium price, output and profits of each firm if they are competing with each other? (Hint: Consider the equilibrium in a Cournot game.) 2. What happens if they form a cartel? Calculate the equilibrium price, output, and profits for the cartel? 3. If a single firm cheated, what would its output and profits be, assuming the other firm maintains the cartel price? Calculate the new outputs and profits for bath firms: 4. Discuss why it is hard to enforce a cartel. Explain using words. DO NOT do any calculations. DO NOT draw any graphs. 5. What can the cartel members do to enforce the cartel agreement? Propose a method. Describe the method using words. DO NOT do any calculations. DO NOT draw any graphs.