What about the 5-and-10 problem makes it particularly relevant/interesting here? What would a ‘solution’ entail?
How far are you planning to build empirical cases, model them, and generalise from below, versus trying to extend pure mathematical frameworks like geometric rationality? Or are there other major angles of attack you’re considering?
Consider the version of the 5-and-10 problem in which one subagent is assigned to calculate U | take 5, and another calculates U | take 10. The overall agent solves the 5-and-10 problem iff the subagents reason about each other in the “right ways”, or have the right type of relationship to each other. What that specifically means seems like the sort of question that a scale-free theory of intelligent agency might be able to answer.
I’m mostly trying to extend pure mathematical frameworks (particularly active inference and a cluster of ideas related to geometric rationality, including picoeconomics and ergodicity economics).
Interesting! Two questions:
What about the 5-and-10 problem makes it particularly relevant/interesting here? What would a ‘solution’ entail?
How far are you planning to build empirical cases, model them, and generalise from below, versus trying to extend pure mathematical frameworks like geometric rationality? Or are there other major angles of attack you’re considering?
Consider the version of the 5-and-10 problem in which one subagent is assigned to calculate U | take 5, and another calculates U | take 10. The overall agent solves the 5-and-10 problem iff the subagents reason about each other in the “right ways”, or have the right type of relationship to each other. What that specifically means seems like the sort of question that a scale-free theory of intelligent agency might be able to answer.
I’m mostly trying to extend pure mathematical frameworks (particularly active inference and a cluster of ideas related to geometric rationality, including picoeconomics and ergodicity economics).