Maybe what I am doing that is new is to consider the difference between the actual production curve and the optimal production possibility frontier.

The PPF is platonic and exists only in the mind of each economist's inner Socialist Master Planner.

guaranteed to evoke a violent reaction from police is to challenge their right to "define the situation." --- David Graeber citing Marc Cooper

Not that I am aware of.  Papers and books are being written using Catastrophe and Chaos mathematics but the insights haven't made it to the textbook level.  Catastrophe has the problem of quantification: it is next to impossible to apply data to the variables in the formulae.  Chaos math slams directly into bifurcation if the formulae are kept tractable and if more accurately formalized into unsolvable differential equations, e.g., Weierstrass groups.

See here for a discussion and exposition.

My conclusion is that if you find a godfather there is no doubt you can publish this (Godfather will give you status, reference and fit the paper to the general framing in the field).

Of course, the most difficult thing would be to publish it without godfather. This seems difficult: when all the papers and research are fuzzy in a lot of aspects, how is going someone to decide if your results is pure speculation or well-grounded logic? When there is hardly a strong standard for publishing it seems very difficult to know the answer in advance.

I would say that your present status in the university would allow the paper to peer-review it. You would need to choose the journal with the help of someone around and then look for the references. Success will not be guaranteed...

So I will say the best way is to find a godfather to write the article with. It would be the easiest path. Find someone who is known as trustworthy and good person, he does not need to be a crack. Better if he is not....

Of curse, this is you have time and desire... but it was fun to look for it.. I doubt someone used before the thermodynamic instabilities to analize the dislocation int he economy wiht a model as simple as the one you are considered.

By the way I am still surprised that the idea that consumers make rational choices is accepted. Research has shown with literally thousand of studies that there is no such a thing as rational choice... but this is another topic...

A pleasure

I therefore claim to show, not how men think in myths, but how myths operate in men's minds without their being aware of the fact. Levi-Strauss, Claude