EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Question
Chapter 12, Problem 12.5P
a)
To determine
To compute: The Nash-
b)
To determine
To ascertain: the profits for each firm.
c)
To determine
To ascertain: The aspects of the Bertrand Paradox show up in this given example.
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Three firms compete in the style of Cournot. All firms have a constant returns to scale technology: There are no fixed cost and each firm's marginal cost is constant. The market demand is given by Q(P) = 9 - P. Firm 1's marginal cost is MC1 = 1, firm 2's marginal cost is MC2 = 2. Let MC3 be the marginal cost of Firm 3. Which of the below is a necessary condition so that q > 0 for all three firms in a Nash equilibrium?
a. MC3 < 1
b. MC3 < 4
c. MC3 < 3
d. MC3 > 1
e. MC3 < 2
Consider two firms that produce the same good and competesetting quantities. The firms face a linear demand curve given by P(Q) =1 − Q, where the Q is the total quantity offered by the firms. The costfunction for each of the firms is c(qi) = cqi, where 0 < c < 1 and qiis the quantity offered by the firm i = 1, 2. Find the Nash equilibriumoutput choices of the firms, as well as the total output and the price, andcalculate the output and the welfare loss compared to the competitiveoutcome. How would the answer change if the firms compete settingprices? What can we conclude about the relationship between competitionand the number of firms?
Firms A and B operate in a market with inverse demand given by p = 160 - (q_{A} + q_{B}) Their total cost functions are C_{A}(q_{A}) = q_{A} ^ 2 / 2 and C_{B}(q_{B}) = q_{B} ^ 2 / 2 , respectively. The firms compete in quantities (Cournot competition). Denote by q_{A} ^ C and q_{B} ^ C the Nash equilibrium quantities in this game. What are q_{A} ^ C and q_{B} ^ C
Hint: Again, note that I gave you the total cost function for each firm, not the marginal costs.
(a) q_{A} ^ C = 24 q_{B} ^ C = 24
(b) q_{A} ^ C = 60 q_{B} ^ C = 30
(c) q_{A} ^ C = 40 q_{B} ^ C = 40
(d) q_{A} ^ C = 20 q_{B} ^ C = 20
(e) q_{A} ^ C = 30 q_{B} ^ C = 30
Chapter 12 Solutions
EBK INTERMEDIATE MICROECONOMICS AND ITS
Ch. 12.2 - Prob. 1TTACh. 12.2 - Prob. 2TTACh. 12.2 - Prob. 1MQCh. 12.2 - Prob. 2MQCh. 12.2 - Prob. 1.1TTACh. 12.2 - Prob. 2.1TTACh. 12.2 - Prob. 1.1MQCh. 12.3 - Prob. 1MQCh. 12.3 - Prob. 2MQCh. 12.3 - Prob. 1TTA
Ch. 12.3 - Prob. 2TTACh. 12.3 - Prob. 1.1MQCh. 12.3 - Prob. 2.1MQCh. 12.3 - Prob. 1.1TTACh. 12.3 - Prob. 2.1TTACh. 12.4 - Prob. 1TTACh. 12.4 - Prob. 2TTACh. 12.5 - Prob. 1MQCh. 12.5 - Prob. 2MQCh. 12.5 - Prob. 1TTACh. 12.5 - Prob. 2TTACh. 12.6 - Prob. 1MQCh. 12.6 - Prob. 2MQCh. 12 - Prob. 1RQCh. 12 - Prob. 2RQCh. 12 - Prob. 3RQCh. 12 - Prob. 4RQCh. 12 - Prob. 5RQCh. 12 - Prob. 6RQCh. 12 - Prob. 7RQCh. 12 - Prob. 8RQCh. 12 - Prob. 9RQCh. 12 - Prob. 10RQCh. 12 - Prob. 12.1PCh. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Prob. 12.7PCh. 12 - Prob. 12.8PCh. 12 - Prob. 12.9PCh. 12 - Prob. 12.10P
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