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HumphreyYang authored Jul 24, 2024
2 parents 0b2b4c4 + 716df5d commit 488646a
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7 changes: 4 additions & 3 deletions lectures/scalar_dynam.md
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Expand Up @@ -220,11 +220,12 @@ For example, in a later lecture {doc}`solow`, we will study the Solow-Swan growt
```{math}
:label: solow_lom2
k_{t+1} = s z k_t^{\alpha} + (1 - \delta) k_t
k_{t+1} = s A k_t^{\alpha} + (1 - \delta) k_t
```

Here $k$ is the per capita capital stock and $s, z, \alpha, \delta$ are positive
parameters with $0 < \alpha, \delta < 1$.
Here $k=K/L$ is the per capita capital stock, $s$ is the saving rate, $A$ is the total factor productivity, $\alpha$ is the capital share, and $\delta$ is the depreciation rate.

All these parameter are positive and $0 < \alpha, \delta < 1$.

If you try to iterate like we did in {eq}`sdslinmodpath`, you will find that
the algebra gets messy quickly.
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