cooperation between players. 2. John Nash, while in Princeton, is lured to play a math game by some of his friends-to-be. He loses, much to his amazement, as he says: "I had the first move __ my play was perfect." According to Game Theory, in a complete knowledge game, he should've won. or at least achieved a draw. He then concludes: "The game is flawed!" What is the name of that math game? Chess Go Sudoku Tower of Hanoi

## Step 1: <br />The question is asking for the name of the game that John Nash, a famous mathematician, played at Princeton and lost, despite having the first move and playing perfectly. According to Game Theory, he should have won or at least achieved a draw in a complete knowledge game. He concluded that the game was flawed. <br /><br />## Step 2: <br />A complete knowledge game is a game where all information is available to all players. Chess and Go are both complete knowledge games. Sudoku is a puzzle, not a game in the competitive sense, and the Tower of Hanoi is a mathematical puzzle. <br /><br />## Step 3: <br />John Nash is known for his work in Game Theory, but there's no specific game associated with him. However, considering the context and the options provided, the game is likely to be either Chess or Go. <br /><br />## Step 4: <br />The statement "I had the first move... my play was perfect" suggests a game where having the first move is a significant advantage. In Chess, the player who moves first (white) does have a slight advantage, but it's not a guarantee of winning or drawing the game. In Go, however, the first player (black) has a significant advantage, and perfect play from the first move should theoretically result in a win or draw.