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2. Suppose you play the 3-pile treasure game (Game 3 in the notes), starting with 3 piles of 3 coins. (That is, the initial state is (3,3,3).) Should you play first or second? And what should your move be? Justify your answer.

2. Suppose you play the 3-pile treasure game (Game 3 in the notes), starting with 3 piles of 3 coins. (That is, the initial state is (3,3,3).) Should you play first or second? And what should your move be? Justify your answer.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 31E
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Please help me with Game Theory

Game 3: The 3-pile Treasure Game This is a game for two players. The aim of the game is to take the last coin. ● Start with 3 piles of coins. Each pile can have an arbitrary (non-zero!) number of coins to begin with. ● Player 1 starts. Each player, when it is their turn, takes as many coins as they like from a single pile. They must take at least one coin. The winner is the person who removes the last coin.
Transcribed Image Text:Game 3: The 3-pile Treasure Game This is a game for two players. The aim of the game is to take the last coin. ● Start with 3 piles of coins. Each pile can have an arbitrary (non-zero!) number of coins to begin with. ● Player 1 starts. Each player, when it is their turn, takes as many coins as they like from a single pile. They must take at least one coin. The winner is the person who removes the last coin.
2. Suppose you play the 3-pile treasure game (Game 3 in the notes), starting with 3 piles of 3 coins. (That is, the initial state is (3,3,3).) Should you play first or second? And what should your move be? Justify your answer.
Transcribed Image Text:2. Suppose you play the 3-pile treasure game (Game 3 in the notes), starting with 3 piles of 3 coins. (That is, the initial state is (3,3,3).) Should you play first or second? And what should your move be? Justify your answer.
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