Jesse and Janie are playing a game. On the table in front of them, there are 50 coins. They take turns removing some of these coins from the table. At each turn, the person moving can remove either 1, 2, 3, 4, or 5 coins (they cannot remove 0 or 6 etc). The person to remove the last coin wins. Suppose Janie is the first player to have a turn. 1) In the subgame perfect equilibrium, Janie begins by taking 2) Suppose Janie makes a mistake in play, and removes a number of coins that leaves 32 coins on the table when it is Jesse's turn. To have a chance at winning, Jesse should remove coins. coins.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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Jesse and Janie are playing a game. On the table in front of them, there are 50 coins. They take turns removing
some of these coins from the table. At each turn, the person moving can remove either 1, 2, 3, 4, or 5 coins (they
cannot remove 0 or 6 etc). The person to remove the last coin wins. Suppose Janie is the first player to have a
turn.
1) In the subgame perfect equilibrium, Janie begins by taking
2) Suppose Janie makes a mistake in play, and removes a number of coins that leaves 32 coins on the table when
it is Jesse's turn. To have a chance at winning, Jesse should remove
coins.
coins.
Transcribed Image Text:Jesse and Janie are playing a game. On the table in front of them, there are 50 coins. They take turns removing some of these coins from the table. At each turn, the person moving can remove either 1, 2, 3, 4, or 5 coins (they cannot remove 0 or 6 etc). The person to remove the last coin wins. Suppose Janie is the first player to have a turn. 1) In the subgame perfect equilibrium, Janie begins by taking 2) Suppose Janie makes a mistake in play, and removes a number of coins that leaves 32 coins on the table when it is Jesse's turn. To have a chance at winning, Jesse should remove coins. coins.
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