An industry comprising only two firms produces a homogenous product where the market demand function is given by where and are the output levels of firm 1 and firm 2, respectively. The individual firm's cost functions are and , where and are total costs of firm 1 and 2, respectively. If firm 2 is a Stackelberg Leader, and firm 1 is a Follower, then the profit of the Stackelberg Leader will be ______ (rounded off to two decimal places).
GATE 2024 Question 58: Monopolistic competition and oligopoly
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An industry comprising only two firms produces a homogenous product where the market demand function is given by P=200-2(q₁+q₂) where q₁ and q₂ are the output levels of firm 1 and firm 2, respectively. The individual firm's cost functions are TC₁=4q₁ and TC₂=4q₂, where TC₁ and TC₂ are total costs of firm 1 and 2, respectively. If firm 2 is a Stackelberg Leader, and firm 1 is a Follower, then the profit of the Stackelberg Leader will be (rounded off to two decimal places).
Also written as: An industry comprising only two firms produces a homogenous product where the market demand function is given by P=200-2(q_1+q_2) where q_1 and q_2 are the output levels of firm 1 and firm 2, respectively. The individual firm's cost functions are TC_1=4q_1 and TC_2=4q_2, where TC_1 and TC_2 are total costs of firm 1 and 2, respectively. If firm 2 is a Stackelberg Leader, and firm 1 is a Follower, then the profit of the Stackelberg Leader will be (rounded off to two decimal places).
Monopolistic competition and oligopoly has come up 104 times in 7 exams since 2004.
What this question tests
This question is on Stackelberg and sequential competition, part of Monopolistic competition and oligopoly in Microeconomics.
A leader moving first and a follower reacting, in quantities or prices.
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