Consider a homogeneous product industry with three firms 1, 2, and 3 that engage in simultaneous quantitycompetition. All firms incur identical constant marginal cost c and no fixed cost. Inverse linear demand is given by p1-q where q denotes total market output. (a) Find the equilibrium quantities, price, and profits. (b) Consider now amerger between firms 1 and 2, resulting in a duopolistic market structure. In fact, the merger gives rise to efficiencygains in the sense that the merged entity produces at marginal cost e c, where e < 1. The outsider to the merger stillincurs marginal cost c. Find the post-merger equilibrium quantities, price, and profits. (c) Under what conditions doesthe merger reduce prices? no copy paste answers or chatgpt

Step 1:a. Given informationIn a simultaneous quantity competition, each firm chooses its quantity…

Answered: Consider a homogeneous product industry…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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If the inverse demand for bean sprouts were given by P(Y) = 430 − 2Y and the total cost of producing Y units for any firm were TC(Y) = 10Y and if the industry consisted of two Cournot duopolists, then in equilibrium each firm's production would be
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?
All question are with regards to the following set up. There are two firms A and B. Firms compete in a Cournot Duopoly in Karhide. They set quantities qa and qB. Inverse demand is P(qA + qB) = 18 – qA – qB and costs are C(q) (in Karhide,) and firm A is a foreign firm (from Orgoreyn.) The government of Karhide engages in a strategic trade intervention by giving firm B a per unit subsidy of s. (That is, when firm B produces and sells qB units, firm B receives a payment of s * qB from the government.) You must show your work at each step, unless the questions is followed by "No work required." 3 * q for both firms. Firm B is a domestic firm (4) We now consider the government’s choice of s≥0. We can see from above thatprofits and outputs depend upon s. With that in mind, let πB(s) and qB(s) denote firm B’s profit and output as a function of the subsidy s. Let qA(s) denote firm A’s equilibrium output as a function of s. Let G(s) = πB(s) − s*qB(s) denote the government’s objective…
Consider a Cournot oligopoly with two firms, where the demand curves are given by P, = 100-Q,-2Q2 P2= 100-2Q,-Q2 and that costs are given by TC(Q,) = Q'1. MC, = 2Q1, TC(Q2) = Q²2, and MC2 = 2Q2. Also, marginal revenues can be written as MR, = 100-2Q,-2Q2. MR2= 100- 2Q, - 2Q2. Solve for each firm's profit. Profit for firm 1= 600, Profit for firm 2= 300 Profit for firm 1= 300, Profit for firm 2= 600 Profit for firm 1= 555.55, Profit for firm 2= 555.55 O Profit for firm 1= 0, Profit for firm 2= 0
QUESTION 13 Consider a market where two firms (1 and 2) produce differentiated goods and compete in prices. The demand for firm 1 is given by D₁(P₁, P2) = 140 - 2p1 + P2 and demand for firm 2's product is D2 (P1, P2) 140 - 2p2 + P1 Both firms have a constant marginal cost of 20. What is the Nash equilibrium price of firm 1? (Only give a full number; if necessary, round to the lower integer; no dollar sign.)
Please try to solve in 30 minute
Suppose the iceberg lettuce industry is a Cournot duopoly with two firms: Xtra Leafy (a) and Yummy Farms (y). Xtra Leafy produces q units of output and Yummy Farms produces qy units of output. Aggregate market output is Q = x + y. The (inverse) market demand schedule is: p = 176 - 2Q Both firms have identical cost structures: MC = MC₁ = ATC₂ = ATC₁ = $12 Find Xtra Leafy's Cournot reaction function of the form: 9x = a + bay Where "a" is the reaction function's intercept and "b" is its slope. Note: Please review the formatting instructions above. If any value is negative, be sure to include its negative sign. a. a= b. b = Hint: One of your answers will be negative. Think about why.
(4) Firm l's cost function is C1(q1) = q1 and firm 2's cost function is C2(q2) = 2q2. Consider a duopoly selling in a market with inverse demand function p = 12 q. (a) Assume firms choose output simultaneously (Cournot model). Compute the equilibrium quantities and the market price in a Nash equilibrium. (b) Now assume that firm 1 is a leader and chooses its output q1 first. Then, firm 2 chooses its output q2 after observing q1 (Stackelberg model). Find a subgame-perfect Nash equilibrium of this game. Carefully specify the strategies for firm 1 and firm 2. What quantities are produced in equilibrium and what is the market price in equilibrium?
Suppose we have a duopoly with Firm 1 and Firm 2 and the following inverse demand function:P = 100 – 5(Q1 + Q2)Total Cost and Marginal Cost values for firms 1 and 2 are:TC1 = 20Q1TC2 = 30Q2MC1 = 20MC2 = 30Assuming a Cournot Duopoly, the following response functions are derived:Firm 1: Q1 = 8 – 0.5Q2Firm 2: Q2 = 7 – 0.5Q1Using this information, calculate the quantity produced for each firm, the price, and profits foreach firm and the market as a whole.
2. Consider a standard Cournot triopoly model, i.e., inverse demand p(Q) = a - bQ, where Q = -19i and a, b>0, output cost function ci(qi) = cqi for i = 1, 2, 3, c> 0. qi (a) Find the symmetric equilibrium output (q*), price (p*), and profit levels (*). (b) Suppose that firms 1 and 3 merge horizontally, i.e., form a single larger firm, call it firm 1, and compete against firm 2 as in a Cournot duopoly. The newly formed firm 1 and firm 2 have identical cost functions, which are the ci(qi) discussed above, and face the same inverse market demand p(Q). Assume that firm 1 and firm 3 split equilibrium profits. Find for i = 1, 2, 3 and compare with part (a). Are firm 1 and firm 3 better-off after the merge?
Two identical firms compete as a Cournot duopoly. The inverse market demand they face is P-128 - 4Q. The total cost function for each firm is TC(Q;)=8Q; where i is firm 1 or firm 2. Based on this information firm 1 and 2's best response functions are Q₁16-0.25Q₂ and Q2-16-0.25Q1. Q₁16-0.5Q₂ and Q2-16-0.5Q₁. Q1-15-0.25Q2 and Q2=15-0.25Q1. Q₁15 -0.5Q2 and Q2 = 15-0.5Q₁.

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