2 person game.

Start by dividing the pieces equally so that both get one of each color.

Make rock scissors paper and the winner starts the game.

You take turns placing an arbitrary piece on the balance beam, you may hold the balance beam when you place a piece, but you may not start placing the piece in another place once you have tried to place it (the table catches), think smart before you place a piece.

If just one piece falls off, you have lost.

Good luck