d. Determine the level of production and profits at equilibrium. Is the amount of output at equilibrium positive? Do firms earn positive profits at equilibrium? Explain. e. What happens with the production level and profits when the degree of product differentiation increases? Explain. According to your results determine whether the following statement is true or false. "Firms prefer more product differentiation than less, since that allows them to earn more profits". Justify your f. answer.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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23.
Competition à la Bertrand with heterogenous goods and symmetric linear cost
functions. Consider two firms competing à la Bertrand selling heterogeneous goods. The demand function
of firm i, j E {1,2} is q; (pi, P¡) = 1-pi +bp;, where b E (1, 2) represents the degree of product differentiation
(homogeneous when b = 1 but differentiated when 2 > 6 > 1). Every firm i faces a linear cost function
C; (qi) = cq; where 1>c> 0, in producing every unit of the good.
Transcribed Image Text:23. Competition à la Bertrand with heterogenous goods and symmetric linear cost functions. Consider two firms competing à la Bertrand selling heterogeneous goods. The demand function of firm i, j E {1,2} is q; (pi, P¡) = 1-pi +bp;, where b E (1, 2) represents the degree of product differentiation (homogeneous when b = 1 but differentiated when 2 > 6 > 1). Every firm i faces a linear cost function C; (qi) = cq; where 1>c> 0, in producing every unit of the good.
d.
Determine the level of production and profits at equilibrium. Is the amount of output at
equilibrium positive? Do firms earn positive profits at equilibrium? Explain.
What happens with the production level and profits when the degree of product differentiation
e.
increases? Explain.
According to your results determine whether the following statement is true or false. "Firms
prefer more product differentiation than less, since that allows them to earn more profits". Justify your
f.
answer.
Transcribed Image Text:d. Determine the level of production and profits at equilibrium. Is the amount of output at equilibrium positive? Do firms earn positive profits at equilibrium? Explain. What happens with the production level and profits when the degree of product differentiation e. increases? Explain. According to your results determine whether the following statement is true or false. "Firms prefer more product differentiation than less, since that allows them to earn more profits". Justify your f. answer.
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