
Prices
375
With regard to competitive prices mathematics cannot give more than
a
mathematical description of various states of equilibrium and of conditions
in the imaginary construction of the evenly rotating economy. It cannot
say anything about the actions which would finally establish these equilib-
ria and this evenly rotating system if no further changes in the data were
to occur.
In the theory of monopoly prices mathematics comes a little nearer to
the reality of action. It shows how the monopolist could find out the
optimum monopoly price provided he had at his disposal all the data re-
quired. But the monopolist does not know the shape of the curve of de-
mand. What he knows is only points at which the curves of demand and
supply intersected one another in the past. He is therefore not in
a
position
to make use of the mathematical formulas in order to discover whether
there is any monopoly price for
his
monopolized article and, if so,
which
of various monopoly prices is the optimum price. The mathemaucal and
graphical disquisitions are therefore no less futile in this sector of action
than in any other sector. But, at least, they schematize the deliberations of
the monopolist and do not, as in the case of competitive prices, satisfy them-
selves in describing a merely auxiliary construction of theoretical analysis
which does not play a role in real action.
Contemporary mathematical economists have confused the study of
monopoly prices. They consider the monopolist not
as
the seller of a mo-
nopolized commodity, but as an entreprenuer and producer. However, it is
necessary to distinguish the monopoly gain clearly from entrepreneurial
profit. Monopoly gains can only be reaped by the seller of a commodity or
a service. An entrepreneur can reap them only in his capacity as seller of a
nlonopolized commodity, not in his entrepreneurial capacity. The advan-
tages and disadvantages which may result from the fall or rise in cost of
production per unit with increasing total production, increase or diminish
the monopolist's total net proceeds and influence his conduct. But the
catallactic treatment of monopoly prices must not forget that the specific
monopoly gain stems, with due allowance made to the configuration of
demand, only from the monopoly of a commodity or
a
right. It is this alone
which affords to the monopolist the opportunity to restrict supply without
fear that other people can frustrate his action by expanding the quantity
they offer for sale. Attempts to define the conditions required for the
emergence of monopoly prices by resorting to the configuration of pro-
duction costs are vain.
It
is
misleading to describe the market situation resulting in competitive
prices by declaring that the individual producer could sell at the market
price also a greater quantity than what he really sells. This is true only
when two special conditions are fulfilled: the producer concerned,
A,
is
not the marginal producer, and expanding production does not require
additional costs which cannot be recovered in selling the additional
quantity of products. Then
A's
expansion forces the marginal producer to
discontinue production; the supply offered for sale remains unchanged.