Balanced growth and degrowth with human capital

In a simple discrete-time version of Lucas (1988) we find that the Balanced Growth Path (BGP) is always unique optimal planner’s solution: with linear or strictly concave production functions, unbounded utility without human capital depreciation. When ”speed” accumulation high, working time constant and below its upper bound. Capital grows at factor, but degrowth also possible when this factor less one (under positive depreciation). speed low, boundary declines depreciation (degrowth).