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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.
(c) Find v+, v-. Would you rather be player I or player II?
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