1. Return to our Cournot competition model with two firms. Suppose now that theproducts aren't quite identical. In fact, both firms face different demand functions,a – b(q1 + dq2)a – b(dqn + 42)Pi =P2 =where d is some umber between 0 and 1 that specifies how similar the products are.Everything else about the model remains the same.(a) Calculate the best response functions for each firm. How does the slope of thosebest responses change with d? What happens when d = 0 or d = 1?(b) Calculate the equilibrium prices and quantities in this market. (Note: the firmsare not identical).

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Answered: 1. Return to our Cournot competition…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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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
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
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 Th
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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.
Explain in few lines Three firms are competing through prices (Bertrand competition). They are all selling the same products. The only difference is that the first two firms have a constant marginal cost equal to 2 while the third firm has a constant marginal cost equal to 5. In equilibrium the two firms with lower marginal cost will set their price just slightly below 5
There are two firms competing in the market for Airplanes - Boeing (B) and Airbus (A). The market demand is given by Q = 120 - p. Their marginal cost are as follows: MCB = $20, MCA = $40. (Think of price being in millions.) How many airplanes did Boeing sell in this Airplane (please put your answer in numerical values with no comma or decimal place). How many airplanes did Airbus sell in this Airplane market? (please put your answer in numerical values with no comma or decimal place). What is the total quantities of airplanes sold in the market? (please put your market? answer in numerical values with no comma or decimal place) What is the equilibrium price in millions? million (please put your answer in numerical values with no dollar sign, comma or decimal place). What is Boeing's profit in millions? million (please put your answer in numerical values with no dollar sign, comma or decimal place). What million (please put your answer in numerical values with no dollar (please put is…
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A5
Consider an oligopolistic industry with N competing firms. Suppose that these firms have no fixed costs and that they all have the same marginal costs. Each firm must choose what quantity to produce independently of each other, and all firms must choose at the same time. If we decrease the number of firms in this industry (to, for example N−1), the market price Group of answer choices A. increases B. decreases C. remains unchanged D. becomes nil E. none of the above
Two firms in a Cournat oligpoly each have the best response function, such that the optimal quantity for each individual firm to produce must satisfy the equation: Q-27-Q/2 What quantity Q will each firm produce in the market? Type your answer...
E1 Find Bertrand equilibrium and its outputs for the following asymmetric duopoly:q 1(p1, p2) = 16 - p1 + 0.5 p2, C1(q1) = 4q1;q 2(p1, p2) = 16 + 0.5 p1 - p2, C2(q2) = 6q2.(Note that the average and marginal costs are: AC1=MC1 = c1 = 4, AC2=MC2 = c2 = 6)

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