Comment by mojtaba kohram (mojtaba-kohram) on What's the Least Impressive Thing GPT-4 Won't be Able to Do · 2023-03-26T06:46:03.079Z · LW · GW

Solves it fine now:

In this 2 x 2 grid pebble game, the player with the winning strategy is the one who goes first, given that they follow the optimal strategy.

Let's denote the players as Player 1 and Player 2.

Here's the optimal strategy for Player 1:

In the first turn, Player 1 should remove only one pebble. Now there are three pebbles left on the grid. Player 2 has two choices: a. Remove one pebble, leaving two pebbles behind. b. Remove two nearby pebbles, leaving one pebble behind. Regardless of Player 2's choice, Player 1 can now remove the remaining pebbles in their next turn and win the game. By following this strategy, Player 1 will always win the game, regardless of what moves Player 2 makes