[Nydhal]

Good stuff. It would've been nice if there ever was an actual "Next Step" tensor that once multiplied (or some other operation) by any tensor representing current state, would give you the next state. That was my initial thinking when I read "Using Linear Algebra".

[eliasffyksen]

Are you asking for the Hamiltonian of the Snake world? I don't think it exists. The transformation is non-linear :P

[blt]

It exists in theory, since Snake (like all computer games) is a finite MDP.

[eliasffyksen]

Yes, but not in the matrix state we are using to represent it. It would probaly need to be represented as a "one-hot" MDP encoding, takes away from some of the beauty of it.