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This might be very niche, so no need to merge (based off #3)
This is a game where 2 agents need to guess what they have at the intersection between their lists (which are assigned at the beginning of the game).
Ideally this is a game where finding items at the intersection gives you 1 point, finding also items outside of the intersection give you 2 points and finding less items then the intersection gives 0 points.
The idea is that the two agents (or people) will communicate out of band to figure out what's at the intersection. Ideally this is a "proof of knowing how to run PSI"