Economics 101, a Novel, ch_19 -- Mathematical Models

[The almost-final draft of this chapter is here: http://joel-rees-economics.blogspot.com/2016/06/econ101-novel-ch190-mathematical-models.html.]

(The story starts here: http://free-is-not-free.blogspot.jp/2016/03/economics-101-novel-ch00.html.)

This attempt to build a simplified model for talking about the basics of economics has been my most sustained effort at coherent rhetoric to date.

(My previous best would probably also be found somewhere among the rants in this free-is-not-free blog webrant. Well, somewhere in the 'brants blogspot is hosting for me, I guess.)

The previous chapter (http://free-is-not-free.blogspot.com/2016/04/economics-101-novel-ch18-preparing-for.html) is the closest I have come to outlining the interactions in the simplified model. It also appears to be the least interesting. I suppose, now that I think of it, as a novel, the model I'm trying to develop should be lacking in all that makes a novel interesting.

(But please read the previous chapter. It won't kill you. And I think it's pretty easy reading, too, in spite of my sloppy writing.)

I mean, I'm attempting to create a model of economic interactions, and I'm asking you to buy this model as a novel.

A simplified model, a mathematical reduction.

I'm asking you, the reader, to be interested in mathematics, well, in my efforts to explain mathematics.

So, I suppose I should at least give a hint of a more explicit version of the model I'm trying to develop.

I had intended chapter 20 to be where the story shifts to the model and stays within it. But I'm finding that the supporting story is calling me, clamoring for attention. I've even been re-reconsidering writing chapters 1 through 9, which I had originally intended to leave to your imagination.

(But I'm not sure those chapters would be all that much more exciting than the last chapter.)

So I've blown the numbering scheme, and the model itself is getting mixed into the narrative.

Okay, okay, the model.

Some models of particle physics theorize something called an "exchange particle" that that provides the "magic" for physical interaction. Static electricity is not really an example, but it my help show the idea.

You have a molecule of a hair and a molecule of a molecule of rubber in a balloon. Well, you have lots of molecules, but lets focus on one of each. The balloon rubs the hair and an electron (or maybe more than one) migrates between the hair molecule and the rubber molecule, and a small attractive force is produced. (I forget which direction the electron migrates.)

Anyway, with lots of hair molecules in a hair (and lots of hair on a head, if you are not balding like I am), and lots of rubber in a balloon, lots of electrons move from the hair to the balloon, and the balloon sticks to the hair. (Or, looking at it relativistically, the hair sticks to the balloon. Oh. That's not just relativistic.)

Here we are in this story, rubbing, if you will pardon the expression, two large particles together -- Karel and Bobbie. That is, we are putting them in close contact and friction results.

As a result of the friction, they exchange value particles -- words and work that they share.

There is no need for money here. (In fact, any proxy for value will get in the way in this simple model, which is something I'll try to talk about once I can focus more on the model, but you may be too bored to continue reading by then.)

Value is not nearly as measurable as an electron, but its influence is just as recognizable.

And the exchange of value results in repelling forces and attracting forces.

(Repelling forces -- that would be seen pretty well in the chapter before last: http://free-is-not-free.blogspot.jp/2016/04/economics-101-novel-ch17-taking-rest.html.)

Okay, hopefully, that is enough of a hint for the moment.

(The link to the next chapter will be here when I get it ready. The next chapter is here: http://free-is-not-free.blogspot.com/2016/04/economics-101-novel-ch20-moving-on-hunch.html)

(The chapter index is here: http://joel-rees-economics.blogspot.jp/2016/04/economics-101-novel-index.html)


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