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ENH: Tom's edits for July #399

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Tom's edits of CassKoopmans1 July 23
thomassargent30 Jul 23, 2024
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Tom's edit of Cass Koopmans1 lecture July 25
thomassargent30 Jul 25, 2024
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11 changes: 6 additions & 5 deletions lectures/cass_koopmans_1.md
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Expand Up @@ -29,13 +29,14 @@ kernelspec:
This lecture and {doc}`Cass-Koopmans Competitive Equilibrium <cass_koopmans_2>` describe a model that Tjalling Koopmans {cite}`Koopmans`
and David Cass {cite}`Cass` used to analyze optimal growth.

The model can be viewed as an extension of the model of Robert Solow
described in [an earlier lecture](https://python-programming.quantecon.org/python_oop.html)
but adapted to make the saving rate be a choice.
The model extends the model of Robert Solow
described in [an earlier lecture](https://python-programming.quantecon.org/python_oop.html).

It does so by making the saving rate be a choice, instead of a hard-wired fixed number.

(Solow assumed a constant saving rate determined outside the model.)

We describe two versions of the model, one in this lecture and the other in {doc}`Cass-Koopmans Competitive Equilibrium <cass_koopmans_2>`.
We describe two versions of the model, a planning problem without prices in this lecture, and a competitive equilibrium with prices in this lecture {doc}`Cass-Koopmans Competitive Equilibrium <cass_koopmans_2>`.

Together, the two lectures illustrate what is, in fact, a
more general connection between a **planned economy** and a decentralized economy
Expand All @@ -59,7 +60,7 @@ The lecture uses important ideas including
- A min-max problem for solving a planning problem.
- A **shooting algorithm** for solving difference equations subject
to initial and terminal conditions.
- A **turnpike** property that describes optimal paths for
- A **turnpike** property of optimal paths for
long but finite-horizon economies.

Let's start with some standard imports:
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