The player who moved last the one who caused the number of


The game Cliff runs as follows. There are two players, each of whom has a pocketful of pennies, and there is an empty jar. The players take turns tossing pennies into the jar, with player 1 moving first. There are two rules:

(a) When a player is on the move, he must put between one and four pennies in the jar (that is, he must toss at least one penny in the jar, but he cannot toss more than four pennies in the jar), and

(b) the game ends as soon as there are sixteen or more pennies in the jar.

The player who moved last (the one who caused the number of pennies to exceed fifteen) wins the game. Determine which of the players has a strategy that guarantees victory, and describe the winning strategy.

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Game Theory: The player who moved last the one who caused the number of
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