am. 124. Cournot Duopoly with differentiated products Suppose the firms in a duopolyproduce differentiated products (products that are similar but have attributes thatdistinguish them from other products in the market.) The inverse demand for Firm 1is p₁ =52 91 -0.5q2. The inverse demand for Firm 2 is p2 = 4092-0.5q1. Eachfirm has a marginal cost of MC = 1. Solve for Cournot-Nash equilibrium quantities.

Step 1: Understand the Cournot ModelThe Cournot model assumes firms simultaneously choose quantities…

Answered: Cournot Duopoly with differentiated…

Exploring Economics

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ISBN:9781544336329

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Chapter14: Monopolistic Competition And Product Differentiation

Section: Chapter Questions

Problem 16P

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Firms like Papa John’s, Domino’s, and Pizza Hut sell pizza and other products that aredifferentiated in nature. While numerous pizza chains exist in most locations, thedifferentiated nature of these firms’ products permits them to charge prices abovemarginal cost. Given these observations, is the pizza industry most likely a monopoly,perfectly competitive, monopolistically competitive, or an oligopoly industry? Use thecausal view of structure, conduct, and performance to explain the role of differentiationin the market for pizza. Then apply the feedback critique to the role of differentiation inthe industry.
Consider a market with a duopolist structure. Each firm has similar marginal costs. Based on this information, we can conclude that: ProfitsDeceit > ProfitsCollusion > ProfitsDuopoly > ProfitsTrust in collusion ProfitsDeceit > ProfitsDuopoly > ProfitsCollusion > ProfitsTrust in collusion ProfitsDeceit > ProfitsTrust in collusion > ProfitsDuopoly > ProfitsCollusion ProfitsCollusion > ProfitsDuopoly > ProfitsDeceit > ProfitsTrust in collusion
Problem 1. HHI in the Bertrand Triopoly Equilibrium It's a Bertrand Triopoly - hence we know there are 3 firms in the industry-in-question, who competes in "price". The inverse demand functions for Firm 1, 2, and 3 are as follows: q1 = 40 - 1.5p1 +0.5p2 +p3 q2 = 40 + 1.5p1 - 3p2+p3 q3 = 40 + 2p1 + 1.5p2 - 4p3 For each firm, the marginal cost of production is $2.50/unit produced and sold. Apparently, the firms' products are differentiated. You cannot impose symmetry across firms. Therefore, please solve each firm's profit maximization problem, impose equilibrium, and solve for each firm's "action" in equilibrium. After that, please calculate the Herfindahl- Hirschman Index (HHI) in the industry in equilibrium.
3. Reuben and Simeon are duopolists producing jeans in a differentiated goods market. The market demand for Reuben's jeans is y₁ = 75 − P₁ + P2, while the market demand for 1 1 Simeon's jeans is y₂ = 75 − P2 + ₂P₁. Reuben's cost function is C₁(y₁) = 75y₁ while Simeon's cost function is C₂ (y₂) = 75y2. a) Calculate the Bertrand equilibrium in this market. Indicate each firm's price, output level, and profits. (Answer: p₁ = 100 USD, y₁ = 25 units) b) Find prices and output levels that would maximize joint profits, and calculate the maximum joint profits. c) Draw a payoff matrix using the results from a) and b) and determine the Nash equilibrium.
Short Answer Question: Consider a Bertrand Duopoly Model. Market demand curve is given by Q = 200 – P., Firm A has a marginal cost of S20 and Firm B has a marginal cost of $50. In equilibrium, what is the market price? How many units does each firm produce? Calculate each firm's profit.
Please answer the attached question below. It is part of Industrial Economics.
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 Bertrand duopoly? OA. $13.50 OB. $9 OC. $12 O D. $3 OE. None of the above D
What are the key differences between the increasing returns to scale and monopolistic competition model and the Hecksher-Ohlin (H-O) model of trade? How does an industry adjust from long-run equilibrium without trade to long-run equilibrium with trade under increasing returns to scale and monopolistic competition model of trade? What happens to the firm's demand curve, number of firms, the size of firms, price of products, and profits/losses of firms?
17) Suppose the demand for Pepsi-Cola is qp = 50 - 2pp + 1pc. The firm faces a constant marginal cost of m, and pc denotes the price of Coca-Cola. Assuming Bertrand behavior, derive Pepsi-Cola's best-response function and explain how the firm changes price in response to changes in its own marginal cost and changes in Coca-Cola's price. 18) In a Bertrand duopoly with product differentiation, explain how a change in one firm's marginal cost can have an effect on the price charged by the other firm.
Based on the information given, indicate whether the following industry is best characterized by the model of perfect competition, monopoly, monopolistic competition, or oligopoly. Explain! Industry A has a four-firm concentration ratio of 0.005 percent and a Herfindahl-Hirschman index of 75. A representative firm has a Lerner index of 0.45 and a Rothschild index of 0.34. Industry B has a four-firm concentration ratio of 0.0001 percent and Herfindahl-Hirschman index of 55. A representative firm has a Lerner index of 0.0034 and Rothschild index of 0.00023.
Question 7
The figure below shows the demand (D, MR) and cost (MC, ATC) curves for six oligopolies in the chewing gum industry. Assume that all 6 firms have the same identical cost curves. Demand and cost conditions for the Chewing Gum Industry .40 .35 .31 8.30 .25 Dollars MC MR ATC D 0 12 14 16 Packs of chewing gum in thousands Suppose you're hired by the Department of Justice Anti-Trust Division to analyze the chewing gum industry. You conclude that if the industry were perfectly competitive, the short-run equilibrium output and price would be: a. 14,000 packs of chewing gum at a price of $0.30 per pack b. 16,000 packs of chewing gum at a price of $0.35 per pack C. indeterminate output levels from this information. d. 12,000 packs of chewing gum at a price of $0.40 per pack

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