LessWrong Curated Podcast

"«Boundaries», Part 1: a key missing concept from utility theory" by Andrew Critch

July 28, 2022 LessWrong
LessWrong Curated Podcast
"«Boundaries», Part 1: a key missing concept from utility theory" by Andrew Critch
Show Notes Chapter Markers

https://www.lesswrong.com/posts/8oMF8Lv5jiGaQSFvo/boundaries-part-1-a-key-missing-concept-from-utility-theory

Crossposted from the AI Alignment Forum. May contain more technical jargon than usual.

This is Part 1 of my «Boundaries» Sequence on LessWrong.

Summary: «Boundaries» are a missing concept from the axioms of game theory and bargaining theory, which might help pin-down certain features of multi-agent rationality (this post), and have broader implications for effective altruism discourse and x-risk (future posts).

1. Boundaries (of living systems) 

Epistemic status: me describing what I mean.

With the exception of some relatively recent and isolated pockets of research on embedded agency (e.g., Orseau & Ring, 2012; Garrabrant & Demsky, 2018), most attempts at formal descriptions of living rational agents — especially utility-theoretic descriptions — are missing the idea that living systems require and maintain boundaries.

When I say boundary, I don't just mean an arbitrary constraint or social norm.  I mean something that could also be called a membrane in a generalized sense, i.e., a layer of stuff-of-some-kind that physically or cognitively separates a living system from its environment, that 'carves reality at the joints' in a way that isn't an entirely subjective judgement of the living system itself.  Here are some examples that I hope will convey my meaning:

1. Boundaries (of living systems)
Figure 1: Cell membranes, skin, fences, group divisions, and state borders as living system boundaries.
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2. Canonical disagreement points as missing from utility theory and game theory
Figure 2: Folk Theorem
Figure 3: Nash bargaining solution
Figure 4: Kalai-Smordinsky bargaining solution
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Figure 5: Illustration of BATNAs delimiting a zone of potential agreement.
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Image: Mathematical formula
Figure 6: People disagreeing and going home. (source: owned)
3. Boundaries as informing zero-point selection during bargaining
4. Some really important boundaries
Figure 7: The Eastern Front in WWII.
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5. Summary