Cobb-Douglas production function. α.

Hi guys,

If you look at the following:

Output:

Y = T * K^ α x (L^(1- α ).

K = Capital. α. = the share of capital

Output per worker ( Productivity):

Y/L = T*(K/L)^ α

α is < 1 à More K has a diminishing effect on productivity à The lower α, the lower the benefit of capital deepening.

And now comes the statement I can not understand:

Developed markets: High capital to labor ratio and a low α. à Gains less from capital deepening.

High Capital and low α??

How can you have High Capital to Labor Ratio and low α? From my understanding α is amount of capital? Meaning a High Capital to Labor Ratio should imply a high α ?

Alpha is not amount but share of GDP, i.e. price paid for capital and price paid for labour.

Thanks for clearing that up :slight_smile: