3) Assuming that firms compete a la Cournot, that all firms have the same marginal cost, and that demand is linear, when is price most sensitive to changes in marginal cost: in a market with very few firms or in a market with many firms? Show this formally. [Hint: assume demand p = a – bQ]

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3) Assuming that firms compete a la Cournot,
that all firms have the same marginal cost, and
that demand is linear, when is price most
sensitive to changes in marginal cost: in a
market
with very few firms or in a market with many
firms? Show this formally. [Hint: assume
demand p = a - bQ]
Bertrand duopoly with
b)
differentiated products. Demand curves are
Consider
a
given by
|p! = 600 – 2q! "
p" = 600 – q! - 2q"
Suppose that the cost functions are given by
(q#) = 60q# , for i = 1, 2. Find the equilibrium
outputs, the prices and the profits.
Transcribed Image Text:3) Assuming that firms compete a la Cournot, that all firms have the same marginal cost, and that demand is linear, when is price most sensitive to changes in marginal cost: in a market with very few firms or in a market with many firms? Show this formally. [Hint: assume demand p = a - bQ] Bertrand duopoly with b) differentiated products. Demand curves are Consider a given by |p! = 600 – 2q! " p" = 600 – q! - 2q" Suppose that the cost functions are given by (q#) = 60q# , for i = 1, 2. Find the equilibrium outputs, the prices and the profits.
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