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Solow Model with Growing Labor


Consider a Solow growth model with the following Cobb-Douglas production function for GDP:

$$Y = \bar AK^\alpha L^{1-\alpha}$$

...where $Y$ is GDP, $\bar A$ is the (constant)level of technology, $K$ is the capital stock and $L$ is the labor force. Let the savings rate by households be denoted $s$, and the rate of capital depreciation be denoted $\delta$. Also assume that the labor force grows at the fixed rate of $n$ each period.

In the steady state, the level of GDP and the capital stock both

, while the level of GDP and capital per capita both