pjeby comments on Control Theory Commentary - LessWrong
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And yet, that's what they do. I mean, get X to a threshold value. It's just that X is the "distance to desired value", and we're trying to reduce X rather than increase it. Where things get interesting is that the system is simultaneously doing this for a lot of different perceptions, like keeping effort expenditure proportionate to reward.
I don't understand this. People put forth effort in such a situation for various reasons, such as:
etc. It's not about "effort" or "effect" or maximizing or satisficing per se. It's just acting to reduce disturbances in current and predicted perceptions. Creating a new "proportioner" concept doesn't make sense to me, as there don't seem to be any leftover things to explain. It's enough to consider that living beings are simultaneously seeking homeostasis across a wide variety of present and predicted perceptual variables. (Including very abstract ones like "self-esteem" or "social status".)
Thinking about it more, maybe I should just use "controller" to point at what I want to point at, but the issue is that is a normal English word with many more implications than I want.
Mathematically, there definitely is. That is, consider the following descriptions of one-dimensional systems (all of which are a bit too short to be formal, but I don't feel like doing all the TeX necessary to make it formal and pretty):
max x s.t. x=f(u)
min u s.t. x≥x_min, x=f(u)
u=-k*e, e=x-x_ref, y=f(u,x)
The first is a maximizer that tries to get x as high as possible, the second is a lazy satisficer that tries to do as little as possible while getting x above some threshold (in general, a satisficer just cares about hitting the threshold and not effort spent), the third is a simple negative feedback controller and it behaves differently from the maximizer and from the satisficer (approaching the reference asymptotically, reducing the control effort as the disturbance decreases).
My suspicion is that typically, when people talk about satisficers, they have something closer to 3 than 2 in mind. That is...
Agreed. But that's not what a satisficer does (in the original meaning of the term).