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cartel is simply a group of firms that jointly collude to behave like a single
monopolist and maximize the sum of their profits.
Thus the profit-maximization problem facing the two firms is to choose
their outputs Y1 and Y2 so as to maximize total industry profits:
This will have the optimality conditions
p(Yi + yi ) + �� [yi + yiJ = MC1 (yn
p(y + yi) + �: [y + yil = MC2 (Y2 ) '
The interpretation of these conditions is interesting. When firm 1 considers
expanding its output by 6..Y1 , it will contemplate the usual two effects:
the extra profits from selling more output and the reduction in profits from
forcing the price down. But in the second effect, it now takes into account
the effect of the lower price on both its own output and the output of the
other firm. This is because it is now interested in maximizing total industry
profits, not just its own profits.
The optimality conditions imply that the marginal revenue of an extra
unit of output must be the same no matter where it is produced. It follows
that MC1 (y1ï¼ = MC2 (y2 ) , so that the two marginal costs will be equal in
equilibrium. If one firm has a cost advantage, so that its marginal cost curve
always lies below that of the other firm, then it will necessarily produce
more output in equilibrium in the cartel solution.
The problem with agreeing to join a cartel in real life is that there
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