108 ECONOMIC ESSAYS IN HONOR OF JOHN BATES CLARK
a correct theoretical explanation of the forces governing the pro-
cesses of distribution.
1. It will be noted from the discussion in the three preceding
sections that we have tacitly assumed that the shares of the
total product which the factors originally secured were equal,
and that where only a change in bargaining power had occurred
that an increase of one percent in the return to one factor meant
a corresponding decrease of one percent in the return per unit
of the other factor. But neither of these assumptions need be
true, and in real life they certainly are not. What modifications in
them would such other variables necessitate in our theory? Let
us suppose that labor originally received two-thirds and capital
but one-third of the total product. Then if, without any change
in the net effectiveness of industry, labor were to increase its
return per unit by five percent, its share of the total product
would then rise to seventy percent; but the share of capital would
fall to thirty percent, and if we assume that the total product
would be unaltered, this would mean a fall of ten percent in the
payment for each unit of capital. Thus, what would be a five
percent increase in the return for each unit of labor would be
a decrease of ten percent for each unit of capital. This would,
of course, cause different movements of the supplies of these
factors even though their elasticities were to be the same. Thus
if each of their elasticities were positive and equal to unity, there
would be an increase of five percent in the quantity of labor and
a decrease of ten percent in the quantity of capital. This would
be a stronger force towards restoring the original equilibrium than
as if the supply of capital had only contracted in the same pro-
portion by which the supply of labor had expanded.
If the supply of labor were completely inelastic, while that
of capital had positive unit elasticity, then an improvement in
labor’s bargaining power would have similar results. For while
the supply of labor would not increase, the supply of capital
would decrease at twice the rate which it would, had the total
product of industry been originally divided equally between the
two. In consequence, the final gain of labor would be less than
it would were a one percent gain for labor to cause a loss of
only one percent to capital.
The same results can be traced for all sets of positive elas-
ticities. The larger is the share of the total product which is