English

Computational bounds for the 2048 game

Data Structures and Algorithms 2023-03-14 v1

Abstract

2048 is a single player video game, played by millions mostly on mobile devices. We prove rigorously for the first time that there is an algorithm with winning probability at least 0.99969, and that there is a strategy for achieving the 256 tile guaranteed (with probability 1).

Cite

@article{arxiv.2303.07266,
  title  = {Computational bounds for the 2048 game},
  author = {Alexey Slizkov},
  journal= {arXiv preprint arXiv:2303.07266},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-28T09:14:33.785Z