The
evolution of the annual increment of the real GDP per capita in the USA can be
represented as stochastic fluctuation around the mean value of $648 between
1960 and 2020. This observation is presented in Figure 1, where the regression
line of the annual increment (in chained (2012) dollars) is shown in red. The
mean value is presented by a dashed line and highlights the negative slope of
the regression line. This observation confirms our model of real GDP growth as
introduced in 2004. The essence of this model can be formulated as follows:
There is no exponential economic growth in a capitalist
economy and the return to capital is decreasing.
Therefore, a strong
capitalist country has to rob all weaker countries.
In other words, the US (and other capitalist countries) future is grim because their prosperity depends on their capability to control and rob other countries. China and Russia make this route not easy to follow. It will be accompanied by extreme risks. The current US-Russia collision is just a start. China is a bigger challenge and any loss against Russia makes a tremendous crack in the NATO (West) defense.
Any blink by Blinken will be considered as fear and will
destroy the belief in the US possibility to protect.
Figure 1. Annual increment in real GDP per capita
The
idea of constant annual increment of the real GDP per capita in developed
counties was first introduced fifteen years ago in
this working paper. I wrote
“The trend has the simplest form – no change in absolute growth (annual
increment) values and is expressed by the following relationship:
dG/dt=A (1)
where G is the absolute value of real GDP per capita, A
is a constant. The solution of this equation is as follows:
G(t)=At+B (2)
where B=G(t0), t0 is the starting time of the studied period. Hence,
the evolution of real GDP per capita is represented by a straight line if the
second factor of growth has no cumulative effect. As discussed below, only some
developed countries are characterized by a significant influence of the second
factor.
Then, the relative growth rate can be expressed by the
following relationship:
dG/Gdt=A/G(t) (3)
Relationship (3) indicates that the relative growth rate
of per capita GDP is inversely proportional to the attained level of real GDP
per capita, i.e. the observed growth rate should asymptotically decay to zero
with increasing GDP per capita. “
Using (3) one can replace time, t, with
G(t) and obtain the link between the G(t) and dG(t). For example, Figure 22 in
this paper is copied here and presents the case of the US. The open circles are
the estimates of real GDP per capita between 1950 and 2002. The regression line
for the original data has a positive coefficient, i.e. the G(t) growth is
slightly exponential.
Figure 22 of the 2006 paper
In 2012, we revisited the model and re-estimated the annual increment in the USA. The Figure below is copied from the 2012 paper and includes data from 1950 to 2007, i.e. just before the Great Recession. The slope of the regression line is still positive. The Great Depression put the regression line to that observed in Figure 1 as we suggested in 2006.
Figure 17 from the 2012 paper
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