Suppose the inverse demand function for two Cournot duopolists is given by P = 10 – (Q1 + Q2) and their costs are zero. A. What is each firm’s marginal revenue and reaction functions? B. Determine the Cournot equilibrium outputs and equilibrium price. What is the implication of this model?

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In the mobile phone market, Samsung and Apple constitute a duopoly in the production of devices.The American firm has the following demand q(a) = 10 - p(a )+ 0.25p(s), and the Korean firm, q(s) = 20 -p(s)+ 0.5p(a). Because both firms assembly their devices in China, their cost structure is the same andequal to ?(q) = 10q, answer the following questions.a) What would be the equilibrium (quantity, price, and profit) in this market, and interpret youranswer.b) If they decide to form a cartel, what are the new quantities, prices, and profits? NB.a=apple and s=Samsung

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Assume firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a - bQ where a, b > 0. Suppose now the market is served by 2 firms (one leader, and one follower) that choose quantities for their identical products. Calculate: i. ii. iii. iv. The Nash equilibrium quantities for the Stackelberg duopolists Market output Market price Firm profit

1) A monopoly faces a demand curve P(Q) = 120 – 2Q, and has a marginal cost of 60. a. What is profit-maximizing level of output? What is the profit-maximizing price? How much profit the firm will make? b. Assume that a second firm enters the market. The new firm has an identical cost function. If the two firms enter in a Cournot competition, what will be the price in equilibrium? How much will each firm produce in equilibrium? How much profit will each firm make? c. If, instead, the two firms compete in a Stackelberg game (assume the incumbent firm is the leader), what will be the price in equilibrium? How much each firm will produce in equilibrium? How much profit will each firm make? d. Now assume the follower has to pay a fixed cost, f =100 if q>0. Does it change the follower's decision? Assume again they are playing a Stackelberg game.? e. The leader knows that the follower has to pay the fixed cost and decides produce one third more than the quantity found in part c). Does it…

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

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 Cournot competition with n identical firms. Suppose that the inverse demand function is linear with P(X) = a - bX, where X is total industry output, a; b > 0. Each firm has a linear cost function of the form C(x) = cx, where x stands for per firm output. It is assumed that a > c. a. At the symmetric equilibrium, what are the industry output and price levels? What are the equilibrium per firm output and profit levels? What is the equilibrium social welfare (defined as the difference between the area under the demand function and total cost)? b. Now let m out of n firms merge. Show that the merger is profitable for the m merged firms if and only if it involves a pre-merger market share of 80 percent. c. Show that each of the (n – m) non merged firms is better off after the merger. d. Show that the m-firm merger increases industry price and also lowers consumer welfare.  

Two firms are engaged in Cournot (simultaneous quantity) competition. Market-level inverse demand is given by P = 160 − 4Q Firm 1 has constant marginal costs of MC1 = 8, while Firm 2 has constant marginal costs of MC2 = 24.           1) Does there exist a low enough positive marginal cost for firm 1 such that firm 1 acts like a monopoly in this market, if so what is the MC if not why?