A few words about the model. Consider that the production function has
complementary factors according to the following
equation:we
know that such an assumption is useful to engender fluctuations. The effective
labor at the period
is denoted
but the working population is
so that the labor rate is
.
The wage depends on the labor rate according to an assumption of the Philips
curve type. The profits are entirely reinvested, they are equal to the savings
and the part of profits in the global income is the complement of the part of
wages
so that
.
The labor depends on the capital according to
.
Then we have the
system
There
is stationary state if
, i.e.,
and
*
[1] ref. to Alain Goergen. "Dynamique Economique. Solutions de problèmes avec Maple et Matlab". Economica. 2006.
[2] ref. to Gilbert Abraham-Frois.