Uploaded April 2022 | Updated September 2026, 2 weeks ago

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Link to my Desmos app: desmos.com/calculator/4qqmkeoonz
The original guy that did all of this math is Michio Morishima. His version can be found in the book Marx's Econnomics.

00:00 Defining the technical parameters
07:50 Breaking down the y's
20:41 Setting up an example
25:43 Deriving 'ideal' growth paths
43:07 Looking at 'ideal' growth paths in Desmos
46:18 Bringing in the constraints
55:52 Re-encountering the problem
01:01:20 Writing down the equations
01:11:17 Some ominous observations
01:14:22 Viewing the solutions
01:23:01 Balanced growth
01:33:54 The crisis cycle
01:37:38 Okay but WHY
01:52:37 Summarizing key takeaways
02:00:08 Returning to Marx's example
02:11:12 Closing reflections