Hacker News Reader

In forum mafia this is called "Wine in front of me", or WIFOM[0], referencing the Princess Bride scene[1]

[0] https://wiki.mafiascum.net/index.php?title=WIFOM [1] https://m.youtube.com/watch?v=U_eZmEiyTo0

There is a formalization using Modal Logic :) https://plato.stanford.edu/entries/logic-modal/#Games

In poker it's called levels. Fighter pilots call it being inside the other persons OODA loop.

Rick vs. Heistotron (starts with an annoying pre-roll, hence the start-at-9-seconds parameter) https://www.youtube.com/watch?v=HyOAxh4Iybg&t=9

The term for an infinitely deep chain of that is "common knowledge"

This could go on indefinitely ("I know that you know that I know that you know that I know that..."). I always consider this related to the Byzantine Generals problem.

Yes and somewhat infamously in the fighting game context, high level players can sometimes psych themselves out completely in the heat of the moment, trying to recursively parse the infinite stack of reads and just completely bluescreening and getting hit by the most obvious option possible.

Theory of mind

the infinite regress