14. Let 7; (xi,x-i) denote the twice differentiable profit function for firm i as a function of the amount of a firm controls x; (price or quantity) and the amount of what the other firm controls x-i. Strategic complementarity: a. Means that 2 0 for all i. dx¿ðx-i b. Implies that the best-response functions in the space (xi, x-i) are downward-sloping. c. Means that Tii,P-i)< 0 for all ¿.. d. None of the above are correct answers.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter15: Imperfect Competition
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Problem 15.4P
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14. Let 7; (x;, x-i) denote the twice differentiable profit function for firm i as a function of the amount
of a firm controls x; (price or quantity) and the amount of what the other firm controls x-i. Strategic
complementarity:
a. Means that
> 0 for all i.
b. Implies that the best-response functions in the space (;, x-i) are downward-sloping.
c. Means that
< 0 for all i..
d. None of the above are correct answers.
15. Which of the following statements is true?
a. In the linear Cournot model with homogenous products the average Lerner index (weighted by market
shares) is proportional to the Herfindahl index.
b. In the linear Bertrand model the Lerner index is proportional to the Herfindahl index.
c. In the linear Cournot model with differentiated products, the Herfindahl index is an appropriate measure
of market power since it captures the average markup in equilibrium.
d. All of the above are correct answers.
Transcribed Image Text:14. Let 7; (x;, x-i) denote the twice differentiable profit function for firm i as a function of the amount of a firm controls x; (price or quantity) and the amount of what the other firm controls x-i. Strategic complementarity: a. Means that > 0 for all i. b. Implies that the best-response functions in the space (;, x-i) are downward-sloping. c. Means that < 0 for all i.. d. None of the above are correct answers. 15. Which of the following statements is true? a. In the linear Cournot model with homogenous products the average Lerner index (weighted by market shares) is proportional to the Herfindahl index. b. In the linear Bertrand model the Lerner index is proportional to the Herfindahl index. c. In the linear Cournot model with differentiated products, the Herfindahl index is an appropriate measure of market power since it captures the average markup in equilibrium. d. All of the above are correct answers.
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