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).

翻译：2048是一款单人电子游戏，数百万用户主要在移动设备上玩这款游戏。我们首次严格证明，存在一种获胜概率至少为0.99969的算法，并且存在一种保证（以概率1）获得256格子的策略。