[From Bjorn Simonsen (2005.06.29,10:00 EST)]
From Rick Marken (2005.06.28.0900)
Yes. In the smoking example I gave there is conflict: two control systems
want the same perceptual variable (cigarettes smoked/hr, say) in two
different states. One system wants this variable at a reference level of
zero (the no smoking system) and the other wants it at some non-zero value
(say 5 cigarettes/hour). Of course, this variable can't be in both states
at
the same time. What happens depends on the relative gains of the two
systems.
You have proposed the "same perceptual variable" to be a value indicating a
number of cigarettes smoked/hr. and two references at 0 and 5 cigarettes
smoked/hr. This is a frequency. And the frequency is in the brain. It is
used in the reference signal, the error or the perceptual signal.
It is all right that you can't be in the two states at the same time.
It is all right that the gain is cardinal. I thought the gain was a
conversion factor that recalculated the disturbance (and the environment
variable) to a frequency in the input function. This conversion factor has
the unit of units per disturbance unit. If this is correct, the perceptual
_variable_ cannot be e.g. 3 cigarettes/hr. The disturbance must therefore be
a number of cigarettes. This is not a central point at the moment because I
am a little insecure myself.
Don't you have a problem if the one system has a reference like zero. What
happens in the comparator where it meets a negative perceptual signal (or
when you subtract the perceptual signals). Will the error be negative? Do I
say anything wrong here?
If the systems are of approximately equal gain the perceptual
variable will end up being kept in a "virtual" reference state somewhere
between the two references -- ie., between 0 and 5 -- so the person in this
conflict will appear to have "cut down".
I think you introduce a virtual reference to make your understanding more
educational, but the virtual reference doesn't exist. I think the two
references 0 and 5 exist in two different systems and the comparators in
these systems receive the same disturbance and they get different feedback
signals.
Let me use two references like 5 and 8 (and not 0). Let both systems have
the same gain = ke*do =10.
Then p=(ke*ko*r + kd*d)/(1+ke*ko)
The one system get a p = 10*5/11 + kd*d/11 = 50/11 + kd*d/11 = 4,54 +
kd*d/11
The other system get p = 10*8/11+ kd*d/11 = 80/11+ kd*d/11 = 7,27 + kd*d/11
The way I see it, we have two systems with different reference and a
perceptual signal that becomes more and more like kd*d/11. I can't see that
the conflict will have a "cut down". The conflict depends on the two
reference signals.
Thank you for the conflict.xls . I have not seen it before and I think it
demonstrates conflict in an educational way. But I have one question.
The disturbances in the two systems are different. Why do you do that? It
doesn't have any effect, because you don't use the one value in E17.
And I have a problem when you make a conflict using the conflict factor
(-1) on the one controlled variable. You cancel this effect by using the
conflict factor (-1) on the one perceptual signal.
I thought the conflict was attributed to the different references. If you
say this is just a technique, it is some confusing to me.
You must help me here. If you are correct I have a long way to go as regards
conflict.
In the smoking example (as in my demo) two systems are _simultaneously_
trying to bring the _same_ perceptual variable to two different states.
OK
In the Necker cube, one (but possibly two) systems _alternate_ controlling
for
different perceptions (call it cube with face A front and cube with face A
rear).
I cannot understand how one control system can alternate controlling for
different perceptions. I shall not go in detail when I try to describe how
neurons work in the brain, but I have a problem when I try to understand how
one system can alternate. And the only way I can understand that two control
systems alternate is that we are conscious the one and not the other and
later conscious the other and not the one.
Let me take as my starting point three statements from Bill.
1.
[From Bill Powers (2005.06.17.0651 MDT)] (June Gloom)
In the PCT model, one control system perceives and controls one kind of
variable and only one kind. Each different kind of variable is perceived
and controlled by a physically different control system. A reference signal
that enters the comparator of one control system does not enter the
comparator of any other control system (though a higher-order system can
send reference signals simultaneously, by different paths, to more than one
lower-order system).
(Wonderful words ( my words))
When Rick says "I" am controlling for sunshine, he is not referring to the
"I" that likes chocolate ice cream or the "I" that writes programs or even
the "I" that dislikes fog. He is talking about one single control system
inside his brain, and he is speaking as if from the point of view of that
one control system. The others are all still there and are still acting as
appropriate to control their perceptions relative to whatever reference
signals they are each currently receiving.
Since a reference signal enters only one comparator, changing the reference
signal can change only the amount of the corresponding perception that is
required if the error signal is to be zero. To change from wanting no fog
to wanting sunshine, you would have to turn off the reference signal going
to the system that controls the perception of fog (or disable the whole
control system) and turn on the reference signal going to the system that
controls the perception of sun (or enable that control system if it is
disabled). In the case where the reference signal is excitatory and the
perceptual signal is inhibitory, a comparator can produce an error signal
only if the reference signal is larger than the perceptual signal. This
means that setting the reference signal to zero in such a system is the
same as disabling it: there will never be any error signal if the only
signal entering the comparator is an inhibitory perceptual signal. If you
set a low value of reference signal, that will produce an error signal that
creates output that increases the perceptual signal, but only enough output
to bring the perceptual signal to nearly the same small magnitude as the
reference signal. An excess of the perceptual signal will not create any
error signal. In order for an excess as well as a deficiency of a
perceptual signal to create an error signal, a second comparator must exist
with the inhibitory and excitatory effects interchanged.
These are the properties of the PCT model as it stands now.
(Really Wonderful words (my words))
2.
Subject: Re: reinforcement - Is the Phenomenon Real?
[From Bill Powers (2005.06.07.0758(]
We may not see anything happening when no disturbances are varying,
but the control systems are still turned on and still generating whatever
action is required to maintain all controlled variables at their reference
levels.
I have had objections to this statement sometimes, but every time I return
to it.
3.
From Bill Powers (2005.06.27.1450 MDT)]
Do you think we learn to know what the real world really is?
I think we simply develop mental models that we are satisfied
to use because they work well enough for our purposes. I don't
know of any way to know what the real world really is. If you
know of a way, please tell me what it is!
These were my 3 basic statements: 1. One control system controls only one
variable. 2. All our control systems function all the time, but the error is
very often zero. 3 Everything we say about the Real World is a statement in
our individual Model of the Real World.
Now back to Necker's cube.
.................
When I control my perceptions when I am looking at the Necker's cube, I have
no knowledge about the real world on the paper, but I know there is a
picture of the cube on the retina. I perceive 1 of the 3 or more figures I
can perceive seeing on the Neckers cube and I know what I perceive. The
perception signal and copies of it goes to the comparators and the different
output signals contribute to a shift in in which figure I am conscious among
other circumstances.
I have changed your conflict.xls and I think there still is a conflict with
one disturbance.
bjorn
Conflictedited.xls (16 KB)