I believe that there's a reasonable (but unprovable) assumption that any games which humans usually play - because the rulesets are learnable and interesting for humans - implicitly rely on priors of human brains and behavior.
The space of possible games is huge (infinite?), but only a tiny subset of these games could reasonably become a popular game for humans.
E.g. it's not an arbitrary random coincidence that the scoring rules for each grid intersection in go are the same (I mean, it could vary in an arbitrary pattern), it ensures that the ruleset is small enough so that humans can learn it.
It's not an arbitrary random coincidence that the playing of go involves pattern recognition on some level, since that's what we're good at and find interesting in many games.
It's not an arbitrary random coincidence that in Mario game after jumping the sprite falls back down eventually; that's reusing the priors from real world physics.
The space of possible games is huge (infinite?), but only a tiny subset of these games could reasonably become a popular game for humans.
E.g. it's not an arbitrary random coincidence that the scoring rules for each grid intersection in go are the same (I mean, it could vary in an arbitrary pattern), it ensures that the ruleset is small enough so that humans can learn it.
It's not an arbitrary random coincidence that the playing of go involves pattern recognition on some level, since that's what we're good at and find interesting in many games.
It's not an arbitrary random coincidence that in Mario game after jumping the sprite falls back down eventually; that's reusing the priors from real world physics.