Analysing 2048 on a 3×3 board
Summary
A deep dive into exhaustively analysing a 3×3 version of 2048, deriving pvalue and cvalue metrics, and using dynamic programming or memoised recursion to compute win probabilities for target tiles. The study finds that 256 is almost always achievable, 512 is likely but not guaranteed, 1024 is rare, and 2048 is impossible on a 3×3 board, with floating point rounding errors discussed.