[Martin Lewitt Jan 3, 2011 2323 MST]
[From Rick Marken (2011.01.03.1820)]
Fred Nickols (2011.01.03.1310MST)–
Aha!I see. And what I see is that you and I have very
different definitions of zero-sum. And what I
described is non-zero-sum.
I agree. But I think it's not so much that we have differentdefinitions of “zero sum” as we have different concepts of
where the “sum” – GNP or the “pie” that is the $ value of the
goods/services produced by the economy in some time period –
comes from.
I doubt we really have different definitions.
Let's think of GNP as a pie (apple, if you please) of aparticular size (let’s start with 10 oz). I see that pie as
the collective result of the efforts of the people who make up
the economy (let’s say there are just two people in the
economy, A and B).
Are you over simplifying a bit? As cumulative statistic is the
collective resultS of multiple collective and individual efforts or
people that make up the economy, who made varying contributions and
many of whose efforts were actually counter productive.
So lets say that a 10 oz pie is available to be split bythe two people who made it. Let’s say A (because he is a
competent CEO type who knows how to order people around) gets
9oz and B (who actually knows how to bake pies) gets 1oz.
Obviously at this point this is a zero sum game; if B demands
a larger piece, say 2 oz, then A gets a smaller piece, 8oz.
Obviously not, the pie is a lot more valuable than the ingredients
that he started with unless B is a very poor cook, the sum has
increased.
Now suppose, after practice, A and B manage to bake a 20 ozpie. If they split it as they did the 10 oz pie then A gets
18oz and B gets 2 oz. B has gotten twice as much as the 1 oz
he got with the 10 oz pie but I see the situation as still
being zero sum. If B demands more than 2 oz then A will get
less (and vice versa). But you would see this as being a
non-zero sum situation because both A and B get an increase in
the absolute amount of pie. I would agree that this is a
non-zero sum increase if the increase B gets was all B’s doing
and the increase A gets is all As doing. In this case, B could
increase his portion independent of what A does; so the
increase that B gets does not depend on what A gets. This is
like the situation in the example you gave in your earlier
post:FN: Let A = 90 and B = 10. GDP equals100
If A increases to 95 and B decreases to 5, GDP still equals
Ergo: zero
sum.
You forget that GDP stands for Gross Domestic PRODUCT, i.e., income
or production and not the pre-existing wealth, so it already
represents a nonzero sum game, there is MORE.
However, if A increases to 100 and B increases to 15, GDPnow equals 115.
No zero sum.Note that this assumes that A and B produce their increasesindependently. The sum increases as a side effect of the
increase in the size of the portion produced by A or B or
both. If an economy worked this way then I would agree that it
is a non-zero sum situation. But I don’t think economies do
work this way. I think the size of the pie (GNP) that is to
be divided at any instant by the population that makes up the
economy depends on the joint efforts of everyone in the
economy. So at any instant, the economic pie is like the
“reward” that is to be divided by players A and B in a zero
sum game. What A gets of this pie diminishes what B can get
and vice versa. At any instant the division of the economic
pie – GNP – is zero sum game.I think conservatives like the non-zero sum notion of aneconomy because they think that individuals are independently
responsible for how much of the pie they produce and, thus,
get. So if the pie is 100 units and A gets 90 and B gets 10
they believe that B could get a larger postion if B just
worked harder and produced more. So if B stopped being so lazy
and started really pushing, Bs share of the pie could go from
10 to 20 units and the GNP would grow from 100 to 110
(assuming A keeps working just as hard as before and gets 90
units again). I think this view of the economy – this
non-zero sum view – is completely wrong. In a highly
specialized economy where many people contribute to the
production of every good and service that makes up GNP, size
of the “pie” depends on everyone working together. So how much
anyone gets of the pie depends not on just their own efforts
but also on the common effort that determined how much total
pie there is. So how much each person gets of that jointly
produced pie is a zero sum game.At least, that's how I would incorporate distribution of GNPinto my model economy. I haven’t included that yet but it’s
the next step, if I ever decide to work on it again.
I know you are enjoying this.
regards,
Martin L
···
On 1/3/2011 7:17 PM, Richard Marken wrote:
Best regards Rick
I did a little research and mydefinition matches what I find “out there.” I don’t
know where you got your definition but it doesn’t fit
with what I know to be zero-sum.
I guess we’ll just to agree todisagree.
Regards,
Fred Nickols
From: Control Systems Group
Network (CSGnet) [mailto:CSGNET@LISTSERV.ILLINOIS.EDU ]
On Behalf Of Richard Marken
Sent: Monday, January 03, 2011 11:30 AM**To:** CSGNET@LISTSERV.ILLINOIS.EDU
Subject: Re: Social reorganization
[FromRick Marken (2011.01.03.1030)]
> Fred Nickols (2011.01.03.0710 MST)-- >>Rick Marken (2011.01.02.2110)-- > >> It's all mathematical, >> and very simple math at that: GNP = A + B.If A increases, B must
>> decrease in order to preserve the sum
(GNP). Zero sum. And that is
>> true even if GNP is a variable.
>
> Let A = 90 and B = 10. GDP equals 100
>
> If A increases to 95 and B decreases to 5, GDP
still equals 100. Ergo: zero
> sum.
>
> However, if A increases to 100 and B increases
to 15, GDP now equals 115.
> No zero sum.No, it's still zero sum with a new sum (115). If A'sshare increases then B’s must decrease in order to
maintain the sum.> The zero sum view of GDP seems applicable onlyin terms of viewing GDP as a
> percentage so that A + B must equal 100. In
that case, GDP is not a
> variable; it is a constant of 100%.No, it's zero sum whether GDP is represented as anabsolute number or a percentage.
> What I'm getting at, of course, is the notionof building a bigger pie, not
> simply cutting up an existing pie.As I said in an earlier post, it's zero sum (bydefinition; an increase in the proportion of the sum
going to one “player” means a decrease in the
proportion going to another) whether the sum is
constant or variable. By increasing the sum (and
maintaining the relative portions of the sum going
to each “player”) you will increase the absolute
size of the portions of the sum going to each
player. This is what you did in your example. When
the sum was 100, 90 went to A and 10 went to B. When
the sum went to 115, 100 went to A and 15 went to B.
So both player A and B saw increases in the absolute
size of their share of the sum. But this has nothing
to do with the fact that, at any instant, the “game”
is zero sum.Of course, in an economy the sum (GNP) is variable;it goes up and down. As Bill Powers
(2011.01.01.1025 MDT) noted, this fact is pointed
to by conservatives as evidence that the economy is
not zero sum. But this is just redefining the
meaning of “zero sum”. The fact is that, at any
point in time, an increase in the amount of GNP
going to one “player” means a decrease in the amount
going to the other. If the proportion of GNP going
to each player remains constant, then an increasing
GNP (sum) will, indeed, increase the absolute amount
of GNP going to each player. This is the “rising
tide lifts all boats” idea. (This “rising tide”
concept is true, by the way, only if both players
get more than 0% of the sum (GNP); if one player
gets 100% and the other gets 0% then a rising tide
lifts only the boats of the player who has boats,
the one with 100% of GNP. ). But this “rising tide
lifts all boats” notion is completely unrelated to
the fact that the economy at any instant is of
finite size (GNP) and that the more one player has
of GNP at any instant the less the other must
have. That’s zero sum.Independent of whether the economy is zero sum(which is it) Bill Powers (2010.01.03.0742 MDT) has
pointed out how inequitable is the idea that a
“rising tide lifts all boats”:
BP: Yes, this is what I wassaying. However, because the pie is divided 9:1, an
increase of 10% overall would, roughly speaking,
come out to a 1% improvement divided among 99% of
the population, or about 0.01% each, and 9% divided
among the remaining 1%, or 9% each. At the
individual level, the ratio is 900 to 1. So every
improvement simply widens the gap in absolute terms.
Did I do that arithmetic right?
A rising tide does lift all boats (as long as youhave a boat) but when the relative share of GNP
going to different portions of the population are
quite different, the size of the gain for each
portion is quite different as well.
Best Rick -- Richard S. Marken PhD rsmarken@gmail.com [www.mindreadings.com](http://www.mindreadings.com)
-- Richard S. Marken PhD rsmarken@gmail.com [www.mindreadings.com](http://www.mindreadings.com)