In a game called NIM, there are two players. At the start, two piles of matches are placed on the table in front of them, each containing two matches. In turn, the players take any (positive) number of matches from one of the piles. The player taking the last match loses. Which player is sure to win in this game? O First Player O No answer text provided. O There is no way of knowing the outcome. ● Second Player

In a game called NIM, there are two players. At the start, two piles of matches are placed on the table in front of them, each containing two matches. In turn, the players take any (positive) number of matches from one of the piles. The player taking the last match loses. Which player is sure to win in this game? O First Player O No answer text provided. O There is no way of knowing the outcome. ● Second Player

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter19: Probabilistic Dynamic Programming

Section: Chapter Questions

Problem 5RP

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Consider a game in which two players take turns removing any positive number of matches they want from one of two piles of matches. The player who removes the last match wins the game. Show that if the two piles contain the same number of matches initially, the second player can always guarantee a win.
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