EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Chapter 12, Problem 2RQ
To determine
To evaluate: The industry where the two-stage model of capacity investment and price competition is applicable.
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Consider a "Betrand price competition model" between two profit maximizing widget producers say A and B. The marginal cost of producing a widget is 4 for each producer. Each widget producer has a capacity constraint to produce only 5 widgets. There are 8 identical individuals who demand 1 widget only, and individuals value each widget at 6. If the firms are maximizing profits, then which of the following statement is true:
a) Firm A and Firm B will charge 4
b) Firm A and Firm B will charge 6
c) Firm A and Firm B will charge greater than or equal to 5
d) None of the options are correct.
Explain clearly.
Consider a homogeneous good industry (such as an agricultural product) with just two firms and a total market demand Q = 400−P, so the inverse demand is P = 400 − Q. Suppose both firms have a constant marginal cost equal to $100 per unit of output and a fixed cost equal to $10,000. Suppose that the firms compete by simultaneously setting price, not simultaneously setting output. That is, suppose we consider the Bertrand model instead of the Cournot. Show that the two firms must earn lower profits.
Hint: Create a two-by-two game using two different prices for each firm. One price should be the Cournot price (the Cournot is price of the good when firms produce the Cournot output you found above, which is 100 and 100, so the price is P = 400 − 100 − 100 = 200). The second price should be under 200 and over 150. Then show that the Nash equilibrium of this game is the lower of the two prices. When calculating profits, assume that each firm has equal sales (one half of demand) if they charge…
Consider two firms that compete according to the Cournot model. Inverse demand is P (Q) = 16 − Q.
Their cost functions are C (q1) = 2q1 and C (q2) = 6q2
(a) Solve for Nash equilibrium quantities of each firm
(b) Suppose firm 2 becomes more inefficient and its cost function changes to C (q2) = xq2 where x > 6. How large must x be to cause firm 2 to not want to produce anything in equilibrium?
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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