The distribution of income was once at the core of economics
because it helped to explain differences in growth of wealth and population in
different nations. Interest in income distribution then shifted to the
implications of income inequality for social justice and aggregate happiness. Around
the middle of the 20th Century, however, most economists realized that they had
no particular expertise in contemplating such matters. Economists retained some
interest in income distribution because many governments pursued distributional
objectives and it made sense to consider how such objectives might be pursued
at least cost. Nevertheless, it is probably fair to say that income
distribution became somewhat tangential to the main interests of most economists.
The situation seems to have changed radically over the last
few months, following publication of Thomas Piketty’s book, “Capital in the
Twenty-First Century”. The interest that leading economists have shown in the
book seems to stem from two factors: the increased public interest in income
distribution since the GFC; and respect for the amount of intellectual effort that
the author has put into his book.
While the author may deserve some praise for his statistical efforts, in my
view he does not deserve any praise for the clarity of his exposition. The main
point being made in the book, over and over again, is that r (the rate of
return on capital) tends to be greater than g (the rate of growth of national
income) and that r > g implies that “the
risk of divergence in the distribution of wealth is very high”. I mistakenly thought
that an explanation of the significance of this inequality might flow from the two
“fundamental laws of capitalism” expounded by the author.
The first “fundamental law” is merely a definition of
capital’s share of national income:
α = r × β , where α is capital’s share of national income, r
is the rate of return on capital and β is the capital/income ratio (K/Y).
Although r > g could imply that β will rise (if we make the heroic
assumption that the capital stock grows by r% per annum) it is still possible
for α to fall if r is falling.
Piketty’s second “fundamental law” is about the long-run implications
of savings and economic growth rates for the ratio of capital to income:
β = s / g where s
is the savings rate.
When you put the first and second laws together you get:
α = r × (s / g) .
That implies that what happens to capital’s share depends on
what happens to r, s and g. The significance of r > g is not obvious in that
context either.
I am not alone in having difficulty in grasping the
significance of r > g. Scott Sumner noted on The Money Illusion the difficulties
he experienced with Piketty’s verbal explanation.
However, even if the distribution of income is becoming more
unequal, why should that be of concern to us? It seems to me that the best
answer is that distributional considerations are relevant to judgements about
the quality of different societies. When I looked at these issues on this blog a couple of years ago I concluded that the distribution of opportunities is the relevant
variable. Other people may make different judgements about such matters, but I find it hard to see how a society can be judged to be better if it sacrifices opportunities available to low income earners in order to achieve greater income equality.
If we are interested in the economic opportunities of people
who rely solely on labour income, it seems to me that Robert Solow made a
highly relevant point in his review of Piketty’s book, entitled “Thomas Piketty
is Right”:
“The labor share of national income is arithmetically the
same thing as the real wage divided by the productivity of labor. Would you
rather live in a society in which the real wage was rising rapidly but the
labor share was falling (because productivity was increasing even faster), or
one in which the real wage was stagnating, along with productivity, so the
labor share was unchanging? The first is surely better on narrowly economic
grounds: you eat your wage, not your share of national income. But there could
be political and social advantages to the second option.”
(The significance of this point has previously been noted by
others, including David Henderson.)
However, I don’t think we can assume that an increase in
capital’s share will always be associated with higher real wages. What happens
if technological progress makes capital a close substitute for labour? If a
substantial component of the capital of the future can be thought of as a work-force of robots, the economic consequences might be a little bit like introducing
slave labour to compete with the existing workforce. Real wages might fall
under such a scenario, even though national income could be expected to
continue to rise.
I wrote about that possibility on this blog a few years ago. It is a
more challenging scenario than the one painted by Piketty, but I don’t think we
should be losing too much sleep over it. There is still potential under that scenario for nearly everyone to be made better off than at present as a result of the introduction of new labour-saving technology. Governments may need to remain involved in wealth re-distribution to ensure that happens, but there is scope for them to do that in ways that are consistent with a high degree of individual liberty.
The most important point that should be made about Piketty’s
book is that it suffers from the limitations of any analysis which seeks to
hover in “the economy’s stratosphere, gazing down on the only phenomena visible
from such a distant perch – big statistics such as population growth or the
share of national income ‘claimed’ by the very rich”. The quoted words are by Donald Boudreaux, who made the
point effectively in his review:
“Instead of actually looking at the behavior behind his
statistics, the author serves up ad hoc and ultimately unpersuasive theories
about the "behavior" of his big statistics themselves, including such
hulking impersonal aggregates as the return to capital and the ratio of
national wealth to national income. He imagines that such aggregates interact
in robotic fashion through a logic of their own, unmoved by individual human
initiative, creativity, or choice.”