In a nim game start with 4 pennies each player may take 1, Management Theories

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In a nim game start with 4 pennies each player may take 1

Question: In a Nim game start with 4 pennies. Each player may take 1 or 2 pennies from the pile. Suppose player I moves first. The game ends when there are no pennies left and the player who took the last penny pays 1 to the other player.

(a) Draw the game as we did in 2 × 2 Nim.

(b) Write down all the strategies for each player and then the game matrix.

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Management Theories: In a nim game start with 4 pennies each player may take 1

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