Economics

[From Bruce Gregory (2000.0831.1349)]

Rick Marken (2000.08.31.0930)

Bruce Gregory (2000.0831.0700)

> Here's an example of increased productivity leading to
> growth in a closed system...

Me:

> Yes. I'm beginning to think that I made a mistake by turning
> TCP's intrinsic growth rate into a reference signal.

I take that back. I tried an "open loop" version of the model
and quickly learned that leakage does not have the expected
effect on Q/Q' (relative productivity), of course. In fact, it
has _no effect_ on Q/Q'. I don't know how to let production
of Q be open loop and still have the model work correctly. But
as I was thinking about this, I realized that production of
Q can't possibly be open loop. I think my model is moving in
the right direction; there must be a reference for Q. It
can't be open loop.

I think your example of increased productivity leading to growth
leaves out one important consideration. Let's go with your
imaginary economy where everyone is a subsistence farmer.
Subsistence means that the farmers are producing _exactly_
the amount of Q they want.

Really? I would think they are producing exactly the amount of Q that
they are capable of producing!

Now say productivity increases so that "every farmer can feed
her family by only working half as much as she used to". All
this means is that half the labor is needed to produce the
desired Q. But then you say "she can use her new found leisure
to make pots, baskets, and palm computers to trade with
other farmers". So productivity has increased the size of Q. But
you are also assuming that the increase in Q was _wanted_. That
is, you are now assuming that the Q produced by the subsistence
farmers was _less_ than what they wanted; the farmers actually
wanted _more_ Q than was being produced by subsistence farming.

Were you one of those who said that the darkeys were happy picking
cotton and singing gospel songs by the fireside? That actually they were
getting everything they wanted? If so, have I got a deal for you!
There's this marvelous bridge....

So when productivity (and Q) increases, the new Q is absorbed
into the circular flow of PQ (where P is 1 because it's a barter
economy).

But suppose that productivity grew to the point where the
subsistence farmers can produce thousands of "pots, baskets,
and palm computers" for every person in the economy (including
themselves). Obviously, there is not going to be a market for
all this stuff because people don't want or need it. In other
words, Q can get _too big_ in the sense that it can exceed the
wants and needs (the reference for goods an services) of the
composite consumer.

I doubt it. Or to put it another way, we haven't gotten quite there yet.
Porsche dealers have not been forced to conduct fire sales to move
Boxsters off their lots here in the East. Maybe in California...

In my model, there is an explicit reference for Q (actually, for
PQ since this is a model of a money based economy). The reference
makes sense to me for the reasons given above; people have limits
to how much they want.

Can I have a toke on what your smoking? It must be _real_ strong.

At the composite level this reference for
PQ grows because the number of people in the economy grows; it also
grows because people _learn_ to want more and higher quality stuff.
People in the US want desktop computers now because they have
learned to want them -- they have learned what these commodities
can do for them. I think this process of "learning to want better
stuff" is an important contribution of education to the growth of
GNP in western societies. So, according to my model, education
(learning what to want and how to use it) drives growth, _not_
productivity.

An "interesting" theory. Let's see who buys it.

BG

[From Rick Marken (2000.08.31.1250)]

Bruce Gregory (2000.0831.1349) --

Were you one of those who said that the darkeys were
happy picking cotton and singing gospel songs by the
fireside? That actually they were getting everything
they wanted? If so, have I got a deal for you! There's
this marvelous bridge....

I doubt it. Or to put it another way, we haven't gotten
quite there yet. Porsche dealers have not been forced to
conduct fire sales to move Boxsters off their lots here
in the East. Maybe in California...

Can I have a toke on what your smoking? It must be
_real_ strong.

This is just a notch below the level of argument I got
at the CSG meeting.

An "interesting" theory. Let's see who buys it.

I'd rather have people understand it.

Apparently you don't believe that an economy can produce
too much stuff (Q). But I think there is evidence that it
can. Try looking at it in terms of control theory. People
don't want unlimited amounts of anything. People may differ
in terms of how much food, shoes, TVs, etc they want. But
whatever is the amount each person wants, it's not infinite.
There is some finite amount of food, shoes, TVs, etc that
each person wants; if more than the wanted amount of food,
shoes, TVs, etc is available to a person, it won't be consumed.

At the composite level, unconsumed output (Q) is inventory.
The composite amount of Q in inventory would be zero if
there were really no limit to consumption. The fact that
inventories typically are greater than zero is, I think,
pretty strong evidence that there is a reference for the
amount of Q consumed. If more than that reference amount
of Q is produced, the composite producer experiences error
(because it has to pay to inventory the excess) and production
will be reduces until the inventories are cleared and Q is
brought into a match with the reference for Q. The process is
called "control".

By the way, you are always free to take a toke of what I'm
smoking. It's called "closed loop analysis of living systems"
(street name, PCT) and it's very strong indeed.

Best

Rick

···

---
Richard S. Marken Phone or Fax: 310 474-0313
MindReadings.com mailto: marken@mindreadings.com
www.mindreadings.com

[From Bruce Gregory (2000.0831.1627)]

Rick Marken (2000.08.31.1250)

Bruce Gregory (2000.0831.1349) --

> Were you one of those who said that the darkeys were
> happy picking cotton and singing gospel songs by the
> fireside? That actually they were getting everything
> they wanted? If so, have I got a deal for you! There's
> this marvelous bridge....

> I doubt it. Or to put it another way, we haven't gotten
> quite there yet. Porsche dealers have not been forced to
> conduct fire sales to move Boxsters off their lots here
> in the East. Maybe in California...

> Can I have a toke on what your smoking? It must be
> _real_ strong.

This is just a notch below the level of argument I got
at the CSG meeting.

I presume you _were_ sharing whatever you were smoking at the CSG
meeting.

> An "interesting" theory. Let's see who buys it.

I'd rather have people understand it.

Apparently you don't believe that an economy can produce
too much stuff (Q).

It's possible, but it ain't happened yet.

But I think there is evidence that it
can. Try looking at it in terms of control theory. People
don't want unlimited amounts of anything. People may differ
in terms of how much food, shoes, TVs, etc they want. But
whatever is the amount each person wants, it's not infinite.
There is some finite amount of food, shoes, TVs, etc that
each person wants; if more than the wanted amount of food,
shoes, TVs, etc is available to a person, it won't be consumed.

Have you paid attention to the compensation given to executives in this
country. What do you think Cheney "wants" to spend his 20 million dollar
going away present on? I believe that you are sincere, but clueless when
it comes to the human capacity to want more. If you were correct,
communism would be a snap to implement. From each according to his
abilities; to each according to his wants. Have you thought about
running for office?

At the composite level, unconsumed output (Q) is inventory.
The composite amount of Q in inventory would be zero if
there were really no limit to consumption.

Why don't I have the Boxster I want? Why does the Porsche dealer have an
inventory? Could it have anything to do with money?

The fact that
inventories typically are greater than zero is, I think,
pretty strong evidence that there is a reference for the
amount of Q consumed.

An interesting proposal. One way to test the idea is to send me money
until I tell you to stop. Presumably there is some point when I will no
longer want any more. Do you have my address?

If more than that reference amount
of Q is produced, the composite producer experiences error
(because it has to pay to inventory the excess) and production
will be reduces until the inventories are cleared and Q is
brought into a match with the reference for Q. The process is
called "control".

I think we tried that approach during the Great Depression. Back then
people didn't even want food. They preferred to stand in lines at soup
kitchens, according to your model. Well, Milton Friedman would probably
agree with you, if that's any comfort.

By the way, you are always free to take a toke of what I'm
smoking. It's called "closed loop analysis of living systems"
(street name, PCT) and it's very strong indeed.

I've been smoking it for years. Killer shit!

BG

[From Rick Marken (2000.08.31.1410)]

Me:

Apparently you don't believe that an economy can produce
too much stuff (Q). But I think there is evidence that it
can.

Bruce Gregory (2000.0831.1627)

Have you paid attention to the compensation given to
executives in this ountry. What do you think Cheney "wants"
to spend his 20 million dollar going away present on?

But he's not spending it all. I know that people always want
more _money_. But when they get all that money that _can't_
use it because they don't want the amount of stuff represented
by that money. That's why we get leakage, by the way. People
are hoarding _money_ that other people could use to purchase
the portion of Q that would buy with the money.

Me:

At the composite level, unconsumed output (Q) is inventory.
The composite amount of Q in inventory would be zero if
there were really no limit to consumption.

Ye:

Why don't I have the Boxster I want? Why does the Porsche
dealer have an inventory? Could it have anything to do with money?

Yes. There is a distribution problem. But this means that everyone
wants some reference amount of the stuff. If there were no limits on
how much stuff people wanted, people with lots of money would just
buy up all that was produced. There would be no inventories because
there would be no distribution problem; someone would buy it all.
If, as you say, there is no limit to the amount of Q people want,
then even if only one person had all the money, that person would
consume all the Q produced. In my model, the reference is for
Q _as perceived_ in terms of price. The model doesn't control
for money; it controls for Q _using money_. A guy like Cheney
is acting mainly to control for money -- PQ; I'm sure he has
his Q well under control. Cheney is the kind of person who
produces leakage, not consumption.

Me:

The fact that inventories typically are greater than zero is,
I think, pretty strong evidence that there is a reference for
the amount of Q consumed.

Ye:

An interesting proposal. One way to test the idea is to send
me money until I tell you to stop. Presumably there is some point
when I will no longer want any more.

No. This doesn't test it at all. I never said that people have
fixed references for _money_; I said they have fixed references
for what the money represents: the stuff (Q). The fact that
people have fixed references for the amount of Q and unlimited
references for the amount of money they get (PQ) is really the
source of the problem of leakage.

Well, Milton Friedman would probably agree with you, if that's
any comfort.

I am quite sure he wouldn't. I think you would do well to
reflect on the difference between money and the stuff it
represents. That is, try to reflect on the difference
between Q and PQ. Then you might start understanding my
model of the economy.

Me:

By the way, you are always free to take a toke of what I'm
smoking. It's called "closed loop analysis of living systems"
(street name, PCT) and it's very strong indeed.

Bruce:

I've been smoking it for years. Killer shit!

I looks to me like you've been smoking banana peels and
getting a contact high from those of us using the real
shit.

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
MindReadings.com mailto: marken@mindreadings.com
www.mindreadings.com

From [Marc Abrams (2004.08.18.0321)]

". we need education in the obvious more than investigation of the obscure."

--Justice Oliver Wendell Holmes

"Understanding any subject requires that it first be defined, so that you
are clear in your own mind as to what you are talking about-and what you are
not talking about. It is not merely the subject matter which defines
economics, but also it's methods and its purposes. Just as a poetic
discussion of the weather is not meteorology, so an issuance of moral
pronouncements or political creeds about the economy is not economics.
Economics is a study of _cause-and-effect_ relationships in an economy [
just like the various functions in PCT ]. Its purpose is to discern the
consequences of various ways of allocating scarce resources which have
alternative uses. It has nothing to say about social philosophy or moral
values, any more than it has anything to say about music, literature, or
medical science. These other things are not any less important, they are
simply not what economics is about."

--Thomas Sowell, _ Basic Economics_, 2004

I would suggest that both Rick and Bill read this book, but I know they
won't so I just felt that _their_ agenda may better be understood.

Marc

From[Bill Williams 19 August 2004 7:20 AM CST]

From [Marc Abrams (2004.08.18.0321)]

I agree with Marc that definitions are important.

And, it wouldn't hurt for people to read Thomas Sowell's book on _Basic Economics_.

I would recomend Sowell's book on culture. Not that I neccesarily agree with all of it, however, Sowell's discussion of culture might provide a starting point from which to consider Marc's use of the term "emergent."

And, at least from my perspective, the somewhat similiar issues that Bruce Nevin has repeatedly raised concerning the theory of language remain unresolved.

Bill Williams

From [Marc Abrams (2004.08.19.1942)]

From[Bill Williams 19 August 2004 7:20 AM CST]

From [Marc Abrams (2004.08.18.0321)]

I agree with Marc that definitions are important.

And, it wouldn't hurt for people to read Thomas Sowell's book on _Basic
Economics_.

I would recomend Sowell's book on culture. Not that I neccesarily agree
with all of it, however, Sowell's discussion of culture might provide a
starting point from which to consider Marc's use of the term "emergent."

And, at least from my perspective, the somewhat similiar issues that Bruce
Nevin has repeatedly raised concerning the theory of language remain
unresolved.

Bill, I like this a lot. Let's take this onto ECAC's as I suggested in my
response to your last post. I'd like to hear your views on this initially ,
so why not kick it off tonight if you can

I think we need to talk about a socioeconomicpsychpolitico man :-).

I encourage all who might be interested in this exploration to join us on
ECAC's. I don't think this is suitable material for CSGnet.

Marc

From[Bill Williams 20 August 2004 8:00 AM CST]

From [Marc Abrams (2004.08.19.1942)]

From[Bill Williams 19 August 2004 7:20 AM CST]

From [Marc Abrams (2004.08.18.0321)]

I agree with Marc that definitions are important.

And, it wouldn't hurt for people to read Thomas Sowell's book on _Basic
Economics_.

I would recomend Sowell's book on culture. Not that I neccesarily agree
with all of it, however, Sowell's discussion of culture might provide a
starting point from which to consider Marc's use of the term "emergent."

And, at least from my perspective, the somewhat similiar issues that Bruce
Nevin has repeatedly raised concerning the theory of language remain
unresolved.

Bill, I like this a lot. Let's take this onto ECAC's as I suggested in my
response to your last post. I'd like to hear your views on this initially ,
so why not kick it off tonight if you can

I think we need to talk about a socioeconomicpsychpolitico man :-).

But, of course! But, let's not forget the anthropological aspect.

I encourage all who might be interested in this exploration to join us on
ECAC's. I don't think this is suitable material for CSGnet.

I don't myself see why this topic isn't "suitable for CSGnet." This doesn't mean that have any objections to making use of the ECAC site. Except that-- hasn't Charles Tucker issued a challenge to stop criticizing Rick and present a constructive alternative? But maybe I am confused as to who has been challenging who. I have so much fun when Rick makes one of his "giant leaps in the wrong direction" that I sometimes lose track of who is taking pot-shots at who.

But, where ever I have somethings, and even mostly favorable things, to say about Sowell's discussion of culture.

Bill Williams

From [Marc Abrams (2004.08.20.0959)]

From[Bill Williams 20 August 2004 8:00 AM CST]
>I encourage all who might be interested in this exploration to join us on
>ECAC's. I don't think this is suitable material for CSGnet.

I don't myself see why this topic isn't "suitable for CSGnet." This
doesn't mean that have any objections to making use of the ECAC site.
Except that-- hasn't Charles Tucker issued a challenge to stop criticizing
Rick and present a constructive alternative? But maybe I am confused as to
who has been challenging who. I have so much fun when Rick makes one of
his "giant leaps in the wrong direction" that I sometimes lose track of
who is taking pot-shots at who.

But, where ever I have somethings, and even mostly favorable things, to
say about Sowell's discussion of culture.

First, this isn't all about Sowell. :slight_smile: I like him a lot, think he makes a
great deal of sense, and is eminently understandable but there is a great
deal more to all this then one man's opinion. :slight_smile:

Second, the only reason I think we should move to ECAC's is because I
believe this discussion will inevitably get into areas that might question
some of the current dogma associated with the current HPCT model and as you
like to taunt, the 'sophistology' of PCT. Charles Tuckers post I think is
indicative of the CSGnet mentality and I'm not holding my breath waiting to
hear a reply from him although I would welcome the opportunity to discuss
the issues.

I think Rick is open to this kind of discussion but I'm afraid Powers is not
and most folks on this list will follow the lead of their leader and support
his position of only talking about things that Powers might deem important.
As Rick says often enough, this is a list about PCT (Powers Control Theory)
and as such PCT is what Powers says it is on any given day.

I just don't think CSGnet is an open scientific forum on control theory and
human behavior. CSGnet is _all_ about Powers and it's all about one man's
interpretation of it. I don't think this is a bad thing nor do I think it
unreasonable. I just don't feel CSGnet an open forum of ideas. It is what it
is.

Marc

From[Bill Williams 20 August 2004 11:40 AM CST]

From [Marc Abrams (2004.08.20.0959)]

Charles Tuckers post I think is indicative of the CSGnet >mentality and I'm not holding my breath waiting to hear a reply >from him although I would welcome the opportunity to discuss
the issues.

So would I, at least at this point-- I would rather not assume people are unreasonble in the absence of evidence.

I just don't think CSGnet is an open scientific forum on control >theory and human behavior.

I would argue that CSGne has been an open forum. But this is a different thing than saying that all of the discussions have neccesarily scientific in character. I don't think calling people "ignorant sluts" falls within the bounds of scientific discussion.

Maybe we could wait to see about switching to ECAC until we see if Tucker wants to respond to my post?

Bill Willliams

[From Bruce Gregory (2000.0901.0930)]

Rick Marken (2000.08.31.1410)

I do not find your assumptions plausible, but that is not important
(physics is rife with implausible models). The only thing that is
relevant is how well your model predicts the behavior of the economy.
I'll comment further when you tell me more about the data and the
predictions of the model.

I looks to me like you've been smoking banana peels and
getting a contact high from those of us using the real
shit.

You display an unfortunate tendency to equate any disagreement with you
with a failure to understand control theory. This strategy neither wins
you friends nor influences people. This is not important to you, since
you evince no sign of wishing to do either. However it does tend to make
PCT look like a sect with an inner circle of true believers. This is
unfortunate, but I see no evidence that it is likely to change until a
new generation takes up the work.

BG

[From Rick Marken (2000.09.01.0830)]

Bill Powers (2000.08.31.1624 MDT)--

I think you have to get a good model of "the plant" before
you start adding control systems to it...

Thanks for this nice, substantive post. I'll read this in
more detail and reply ASAP. But I must say that what I have
read so far is a refreshing improved over some of the previous
comments I've received, like "Your ideas are inane" and "Can
I have a toke on what you're smoking?". It's so hard to know
where to change the model based on such comments (well, perhaps
there a hint in that second one about how to change the
"plant";-))

Bruce Gregory (2000.0901.0930) to me:

You display an unfortunate tendency to equate any disagreement
with you with a failure to understand control theory...

And you display an unfortunate tendency to equate insults and
sarcasm with "disagreement". If you're just going to quack
insults at my modeling efforts rather than give substantive
suggestions about how to proceed then perhaps you'd better
take Bill Powers' (2000.09.01.0810 MDT) suggestion and let my
unfortunate tendency to reply to your insults in kind just
"roll off your back like a duck".

This strategy neither wins you friends nor influences people.

You're right. I don't feel particularly friendly toward you and
your "thoughts" have obviously had no influence over me.

This is not important to you, since you evince no sign of
wishing to do either.

Right. I have no wish to be friends with of be influenced by
a person who does nothing but take cheap shots at my work.

However it does tend to make PCT look like a sect with an inner
circle of true believers.

Yes. The inner circle consists of the people who are doing the
research and modeling. It probably does look like a sect to
those whose only contact with the phenomenon of control is
through the "sacred texts".

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
MindReadings.com mailto: marken@mindreadings.com
www.mindreadings.com

In-Reply-To: <39AF68EC.B89EA8E5@mindreadings.com>

[From Bruce Gregory (2000.0901.1158)]

Rick Marken (2000.09.01.0830)

And you display an unfortunate tendency to equate insults and
sarcasm with "disagreement".

When I want to insult you, you'll have no trouble identifying it. None
of my remarks were meant as insults. I was simply trying to understand
your model. You are becoming increasing paranoid, however. Perhaps your
medication needs adjustment. It happens to the best of us, so don't take
offence.

You're right. I don't feel particularly friendly toward you and
your "thoughts" have obviously had no influence over me.

Yes that's quite obvious. Bill seems to be the only person with the
ability to influence you.

Right. I have no wish to be friends with of be influenced by
a person who does nothing but take cheap shots at my work.

Again that paranoia. I've taken no shots, cheap or otherwise, at your
work. I have questioned your assumptions. Apparently this translates
into a cheap shot as far as you are concerned. In the future, I'll keep
my critical thoughts to myself. I hope that makes you feel better.

> However it does tend to make PCT look like a sect with an inner
> circle of true believers.

Yes. The inner circle consists of the people who are doing the
research and modeling. It probably does look like a sect to
those whose only contact with the phenomenon of control is
through the "sacred texts".

Sigh. We all admire and respect you Richard. Even when you act like a
total asshole.

BG

[From Rick Marken (2000.09.01.1230)]

Bill Powers (2000.08.31.1624 MDT)

I think that many of your suggestions are already embodied
in the model; but I will try to incorporate whatever suggestions
are not into a "rearchitected" version of the spreadsheet
model so that they are more clearly represented.

We thus deduce a second control system, one which controls
inventory at some probably low level by adjusting prices. Note
that this is _not_ the second Marken control system

That's correct. In the current model, inventory is treated as
part of current Q. In fact, in the current model, if leakage
is zero there is no inventory; the composite controller
is consuming all that is produced.

So we see that rising productivity leads to falling prices
and falling productivity leads to rising prices, both because
of the action of the inventory control system.

I'm not sure that this relationship between productivity and
pricing has to obtain at the macro level. At the micro level,
where the market exists and there is price competition between
producers, productivity will certainly have this effect; the
price of a product produced with a smaller workforce will
be lower than than the same product produced with a larger work-
force. But I don't see that productivity can be expected to reduce
prices at the macro level in this way. At the macro level I
believe that the size of the workforce producing Q is irrelevant;
the composite producer must hand the composite consumer (only a
portion of which is the official "workforce") enough dollars
to consume what was produced. So if Q increases, regardless of the
size of the workforce that produced Q, PQ must increase as well.
So price (P) must at least stay constant with increases in
productivity.

Population growth, it seems to me, is a red herring. All the growth
of population does is to make it desirable to produce more: it doesn't
make producing more possible.

I agree. And all the population does in my model is contribute
to the increased desire (reference) for the _results_ of production.

The only way I can see to compensate for leakage is to put new
money into circulation, to replace money lost from circulation. And
this is done, in general, by borrowing.

Yes. This is precisely the conclusion one comes to from my model.

This does not, contrary to TCP, automatically cause inflation.

Yes. That is correct. The number I (and TCP) call "autoinflation"
is really just a fixed price/wage increase. Nice catch.

Me:

The point of saying the above is simply to point out that
TCP's circular flow analysis of the economy (as described
in "Leakage") is missing a description of some of the
mechanisms that make the analytical equations "work", so
to speak.

Bill:

Yes, this is true, and I think we can improve on his effort.
Notice, however, how much we depend on his basic concepts
even as we do so.

Boy, is that true! TCP really discovered the basics, the main
basic being (in my opinion) the idea of circular flow and the
fact that, to maintain this flow, the aggregate producer, acting
as aggregate consumer, must be continuously paid back the cost
of production. In that basic concept is the seed of understanding
that the economy is an aggregate input control system.

I think that eventually we will arrive at the composite
consumer's control system, the one you describe as determining
how much Q is wanted.

I think it's already an essential part of the analysis. But
I will see if I can convince you of that by developing a more
clearly architected model.

But first let's try to find a solid model on which we
can agree.

That sounds like an excellent goal!

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
MindReadings.com mailto: marken@mindreadings.com
www.mindreadings.com

[From Bruce Gregory (2000.0902.0854)]

Bill Powers (2000.09.01.1859 MDY)]

Let's talk about the model.

Could someone spare a moment to tell me exactly what the model is supposed
to explain? As I see it, a model is of interest to the extent it makes
predictions that can be tested. Exactly what data do you folks plan to test
this the predictions of the model against? Or is this simply an exercise in
model building? (Nothing wrong with that, but it will save me lot of time
knowing it from the outset.)

BG

[From Bruce Gregory (2000.0902.0857)]

Bill Powers (2000.09.01.1846 MDT)

I have one request. I hope you guys will take your argument somewhere else
if any of my adult friends show up.

I'm doing my best not to comment on anything Rick says, no matter how
outrageous or unlikely.

BG

[From Bruce Gregory (2000.0902.1220)]

Bill Powers (2000.09.02.0825 MDT)

The basic data is the record of economic events for the past 100 or so
years available from the Statistical Abstracts and other public records.
Once the model behaves more or less like the past data, it would be
interesting to try to make some predictions from it.

Good. I'm glad you are starting out with modest goals.

BG

[From Rick Marken (2000.09.02.0910)]

Bill Powers (2000.09.01.1903 MDT)--

OK. I offer the following as my idea about how to construct a
model of the basic relationships in the circular flow, followed
by adding two controllers as described in my last post.

Thank you so much! This is why you get paid the big bucks
as principal theorist of the Institute for the Study
of Perceptual Control;-)

This really helps. Now I understand your concept of the effect
of inventory on price. Makes sense to me. I'll work on this
between barbeques this weekend. I'll let you know how it works
ASAP.

Best

Rick

···

--
Richard S. Marken Phone or Fax: 310 474-0313
Life Learning Associates e-mail: marken@mindreadings.com
mindreadings.com

[From Rick Marken (2000.09.04.1420)]

Bill Powers (2000.09.01.1903 MDT) --

B = 1.67*w*N;
PS = PS + (PQ - B)*dt;
if PS < 0 then PS = 0; // no borrowing yet: savings can't go negative
if PS = 0 then B = 0; // can't pay wages with no money saved
Q = PR*N; // PR is productivity, output units per year per worker
IN = IN + (Q - B/P)*dt;// Inventory
if IN < 0 then IN = 0; // inventory can't go less than zero

Ok. First, I think B (buying power) must be defined in terms of dollars
paid to the composite consumer. That is, B = PQ-L. That's the way I
define
it and it's the way TCP defines it. PQ is, of course, GNP which is the
amount paid to the composite consumer by the composite producer; L is
leakage.

When I used your equation for B I ran into trouble in the equations for
PS and IN. PQ and B had nothing to do with each other. Both are related
to N but the relative size of B and PQ depends on the values I pick for
the constants, w and PR. This seems wrong to me. I think the equation
for
Q is fine but B is really related to how much the workforce (regardless
of its size, N) is paid for producing Q. So I define B as

B = PQ-L

L is leakage which is currently assumed to be zero. P now takes the
role (approximately) of w; it's the amount paid to the workforce
(which includes the high paid managers) per unit output (Q).

The equation for PS changes as well. It is now

PS = PS + (P'Q'-PQ)* dt

P' is the cost of Q to the composite consumer; Q' is the amount
of Q that is actually bought at the price P' (see below). So P'Q'
is the amount paid to the composite producer (income); PQ is the
composite producer's expenses (cost). So when income (P'Q') is greater
than cost (PQ) there are increasing cash reserves (PS).

The equation for inventory becomes:

IN = IN + (Q - Q')*dt

where Q' is the amount of Q that is actually purchased. Q' is
defined by the following equation

Q' = B/PQ*Q

So Q' is the proportion of Q that is purchased by the composite
consumer. When Q' is greater than Q, inventory will start going
down.

I also believe that it makes sense to let inventory, IN, go
below zero. Negative inventory occurs when demand for Q (Q')
exceeds the amount of Q produced. When IN is negative it means
that orders exceed goods on hand.

I have set up the inventory (IN) and cash reserve (PS) control
systems. As you suggested, the inventory manager controls IN
by varying the price of goods (P'); the cash reserve manager
controls PS by varying N (and, thus, Q). The systems seem to work
although the cash reserve manager will eventually lose control
of PS because the workforce will eventually hit minimum. The
inventory control system also works, though it oscillates quite a
bit, I think due to all the time integrations between output (P')
and input (IN). .

Here is a summary of my revised "plant" equations compared to yours:

    Powers Marken
P = producer & consumer cost P = producer cost;P' = consumer cost
Q = goods and services produced Q = goods and services produced
B = 1.67*w*N B = PQ-L
Q' = non-existent Q' = B/PQ*Q; goods and services consumed
PS = PS + (PQ - B)*dt PS = PS + (P'Q' - PQ)*dt
Q = PR*N; Q = PR*N
IN = IN + (Q - B/P)*dt IN = IN + (Q - Q')*dt

The equations describing the inventory and cash reserve control systems
are the same as you [Bill Powers (2000.09.01.1903 MDT)] described them,
though I used integrating output functions.

I think this is a pretty good start. I await further comments and/or
suggestions.

Best

Rick

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Richard S. Marken Phone or Fax: 310 474-0313
Life Learning Associates e-mail: marken@mindreadings.com
mindreadings.com

[From Rick Marken (2000.09.05.2130)]

Bill Powers (2000.09.05.0810 MDT)-

Great. I see your points. And I agree that

B = PQ-L

should fall out as a consequence of the operation of the
model rather than come in as an assumption. So I will change
some parts of the model to make the computation of B consistent
with your suggestion (which I think is right). But I think
some of my equations, like the ones for PS and IN, are correct;
my Q' is not the same as TCP's. But I'll try to sort it out
tomorrow when I get a chance.

Thanks a bunch.

Rick

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Richard S. Marken Phone or Fax: 310 474-0313
Life Learning Associates e-mail: marken@mindreadings.com
mindreadings.com