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Merge pull request #318 from QuantEcon/olg01
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[olg] update links and punctuations
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jstac authored Nov 2, 2023
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## Overview

The dynamics of the OLG model are quite similar to those of the Solow-Swan
growth model.
The dynamics of the OLG model are quite similar to those of the [Solow-Swan
growth model](https://intro.quantecon.org/solow.html).

At the same time, the OLG model adds an important new feature: the choice of
how much to save is endogenous.
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We call an agent

- "young" during the first period of their lives and
- "old" during the second period of their lives
- "old" during the second period of their lives.

Young agents work, supplying labor and earning labor income.

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### Firm's problem

For each integer $t \geq 0$, output $y_t$ in period $t$ is given by
the **Cobb-Douglas production function**
For each integer $t \geq 0$, output $y_t$ in period $t$ is given by the
**[Cobb-Douglas production function](https://en.wikipedia.org/wiki/Cobb%E2%80%93Douglas_production_function)**

```{math}
:label: cobb_douglas
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```


To solve for $k_{t+1}$ given $k_t$ we use Newton's method.
To solve for $k_{t+1}$ given $k_t$ we use [Newton's method](https://python.quantecon.org/newton_method.html).

Let

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