Microeconomics (2nd Edition) (Pearson Series in Economics)
Microeconomics (2nd Edition) (Pearson Series in Economics)
2nd Edition
ISBN: 9780134492049
Author: Daron Acemoglu, David Laibson, John List
Publisher: PEARSON
Question
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Chapter 14, Problem 7Q

(a)

To determine

Residual demand curve of both the firms.

(b)

To determine

Nash equilibrium price strategy

(c)

To determine

Nash equilibrium when the firm decides to collude.

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Consider a noncollusive duopoly model with both firms supplying bottled drinking water. The marginal cost for each firm is $1.50. The market demand is shown by the figure on the right. Let us assume that the two firms supplying bottled drinking water are Firm A and Firm B. The price charged by Firm A is denoted as PA and the price charged by Firm B is denoted as PB- Find the demand functions for each of the firms. If PA S$5, then demand for Firm A's bottled drinking water is: thousand if PA PB thousand if PA = PB thousand if PA > PB If PB ≤ $5, then demand for Firm B's bottled drinking water is: thousand if PB PA Price 10- 9- 8- 7- 6- 5- 4- 3- 2- 1- 0- 0 0.5 1 Demand 2 2.5 3 3.5 1.5 Quantity (in thousands) 4 4.5
Three firms compete in the style of Cournot. The inverse demand is P(Q) = a - Q. Scenario 1: All three firms have the same constant marginal cost MC = c. Scenario 2: Firm 1 has MC = 0.5c, Firm 2 has MC = c, and Firm 3 has MC = 1.5c. Assume that a > 3c. Which of the following is correct? (Price means the price in Nash equilibrium.) Price in scenario 1 > Price in scenario 2 Price in scenario 2 > Price in scenario 1 Price in scenario 1 = Price in scenario 2 Any of the first three options is possible depending on the value of a Any of the first three options is possible depending on the value of a and c.
1.6. Consider the Cournot duopoly model where inverse demand is P(Q) = a - Q but firms have asymmetric marginal costs: c₁ for firm 1 and c2 for firm 2. What is the Nash equilibrium if 0 a+c₁?
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