[jxf]

There shouldn't need to be any board history, just like you don't need to know the board history to know the next move in checkers.

[Kaotique]

2048 spawns new numbers randomly on the board. A human player uses that information to determine the best move.

[jxf]

Yes, but that's _state_, not _history_.

[morelisp]

Board history does not matter.

    Grid.prototype.randomAvailableCell = function () {
      var cells = this.availableCells();

      if (cells.length) {
        return cells[Math.floor(Math.random() * cells.length)];
      }
    };

[Kaotique]

Besides that you need to predict where the next number can and should spawn. If you don't figure out the strategy for that you will never get a decent score.

[IanCal]

That relies on the board state but not the board history.