If we have a cycle detector which prevents cycling, then we don’t have true cycles. Indeed, that would be an example of a system with internal state: the externally-visible state looks like it cycles, but the full state never does—the state of the cycle detector changes.
So this post, as applied to cycle-detectors, says: any system which detects cycles and prevents further cycling can be represented by a committee of utility-maximizing agents.
If we have a cycle detector which prevents cycling, then we don’t have true cycles. Indeed, that would be an example of a system with internal state: the externally-visible state looks like it cycles, but the full state never does—the state of the cycle detector changes.
So this post, as applied to cycle-detectors, says: any system which detects cycles and prevents further cycling can be represented by a committee of utility-maximizing agents.