Penny Game Rules: The game begins with a group of 10 pennies. Two players take turns making moves. On their move, a player takes either 1 or 2 pennies away from the group. The
Penny Game Rules: The game begins with a group of 10 pennies. Two players take turns making moves. On their move, a player takes either 1 or 2 pennies away from the group. The
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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1
![Penny Game Rules: The game begins with a
group of 10 pennies. Two players take turns
making moves. On their move, a player takes
either 1 or 2 pennies away from the group. The
player who is forced to take the last penny loses
the game.
Suppose we play a version that starts with n
in the pile, and where a player can take
anywhere from 1 to r pennies on their turn.
[Note that n and r are fixed before the game
starts.] How can you tell which player has a
winning strategy, based on the values of n
and r? Thoroughly explain. Include a
discussion of examples that you looked at.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5c4342b-0802-4886-acc0-532b11c46fa6%2F3c77a5f7-f88b-4658-b7f3-d09097d2e995%2F06iind_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Penny Game Rules: The game begins with a
group of 10 pennies. Two players take turns
making moves. On their move, a player takes
either 1 or 2 pennies away from the group. The
player who is forced to take the last penny loses
the game.
Suppose we play a version that starts with n
in the pile, and where a player can take
anywhere from 1 to r pennies on their turn.
[Note that n and r are fixed before the game
starts.] How can you tell which player has a
winning strategy, based on the values of n
and r? Thoroughly explain. Include a
discussion of examples that you looked at.
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