Consider an industry with four competitors who simultaneously set output levels (Cournot model). Market demand is given by Q = 50-P 4. Firms 1 and 2 have a cost function given by C = 120 + 30q. Firms 3 and 4 have a cost function given by C = 80 + 50g. (a) Determine the equilibrium market shares of Si.. S LL

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Consider an industry with four competitors who
simultaneously set output levels (Cournot
model).
Market demand is given by Q = 50-P
4. Firms 1 and 2 have a cost function given by C
= 120 + 30q.
Firms 3 and4 have a cost function given by C =
80 + 50q.
%3D
%3D
(a) Determine the equilibrium market shares of
each firm. Determine the value of the
concentration
index HHI.
(b) Suppose that firms 1 and 4 merge, forming
Firm 1&4; and that the marginal cost of the
newly formed firm is equal to c1&4 = c1 = 30.
Determine the new equilibrium market shares
%3D
of each firm. Determine the new value of the
concentration index H.
Transcribed Image Text:Consider an industry with four competitors who simultaneously set output levels (Cournot model). Market demand is given by Q = 50-P 4. Firms 1 and 2 have a cost function given by C = 120 + 30q. Firms 3 and4 have a cost function given by C = 80 + 50q. %3D %3D (a) Determine the equilibrium market shares of each firm. Determine the value of the concentration index HHI. (b) Suppose that firms 1 and 4 merge, forming Firm 1&4; and that the marginal cost of the newly formed firm is equal to c1&4 = c1 = 30. Determine the new equilibrium market shares %3D of each firm. Determine the new value of the concentration index H.
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