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soccer should probably be modeled by a continuous time recursive bellman equation with a 23x3 dimensional state space (positions of 22 players plus position of the ball)
Can’t wait to see how you’re gonna do the ref! ahahah
How do you map the positions to a single number? Are you planning on using a space-filling curve?
23 x 3, you'll want an x,y,z coordinate for each of them.
Can probably get away with 22x2 + 3 as I'm not sure the z coordinate is necessary for the players if you let them carry around a height and vertical attribute
you probably need the momentum vector of each object too, so 23x6
~lol Looks like it, but actually it's like a 'thousand' variables going on!
So is statistical mechanics but it ultimately amounts to is noise, by and large
I don’t see what’s so hard to understand. Soccer is basically just Brownian motion until a goal is scored.