Branko Milanovic:

There are significant differences between the 19th century and ours that 
Piketty does not fully acknowledge, although he mentions them. First, it 
is not obvious that the rate of return on private wealth will remain 
high enough to sustain Piketty’s prediction. Even if we look at the 
admittedly transitory situation of today, the rate of return is stuck 
barely above zero percent, less than the rate of growth of the rich 
world’s economies. The tendency toward a decreasing rate of return, 
possibly lower than the rate of growth, cannot be ruled out. [This 
sounds like a reference to the question I posted to PEN-L, namely 
whether the pie will continue to grow. Piketty's emphasis is on the 
growing inequality of division of the pie but what if the pie stops 
growing? To my catastrophist way of thinking poses revolutionary 
implications that he is uncomfortable with. As long as workers enjoy a 
reasonably stable life with income sufficient to maintain a reasonably 
comfortable existence, why would they mount the barricades? But if the 
conditions of life become unbearable, all bets are off.]

Second, the role of labor incomes has changed since the 19th century. As 
Piketty acknowledges (he writes about it in both this and earlier 
works), extraordinarily high labor incomes play a larger role in society 
today than in the past, even if they concern mostly the richest 1 
percent through 5 percent of income recipients—not the top 0.1 percent, 
where “capital is still king.” A dose of “meritocracy” has been 
introduced into the distribution. The overlap between being rich and 
owning capital so evident in the 19th century will be less prominent in 
the 21st.

Third—the convergence of China, and even more that of India, and even 
more that of Africa—may take a century or longer to complete. As long as 
the convergence is still ongoing, global growth will be higher than the 
steady-state rate of 2.5 percent due to the faster growth rate of “infra 
technological frontier” countries such as China, India, Nigeria, and 
Indonesia. This is an aspect of the problem that Piketty neglects. The 
former Third World might end up playing the same role in the 21st 
century that Europe, Japan, South Korea, and others played in the past 
50 years—maintaining upward global growth as they were catching up with 
the United States.

full: http://prospect.org/article/piketty%E2%80%99s-triumph
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