(no subject)

[timelets]

Allocation -> Labor x Capital -> Value -> Allocation.

According to the Brouwer theorems, if this map is continuous there exists a fixed point, i.e. a "fair allocation." Am I interpreting it right? It looks like that this might work only if the underlying end-to-end process is continuous, i.e. contains no uncertainties and has no side effects.

Comments

[timelets]

But I do not quite see the point of the whole post otherwise.

This is thinking aloud about how an intro textbook would look like if we used Category Theory, instead of "regular" math. I find that CT approach makes it easier to convey key concepts because it hides tons of mathematical detail underneath a map (arrow).

Thanks for asking, though. Helps formulate the purpose of the whole exercise.

[(Anonymous)]

But uncertainty still has nothing to do with continuity :)

[timelets]

Why? If we assume that a tech breakthrough is possible within the process, continuity cannot be built into the model.