Suppose That Ben and Tim Are Playing a Finitely Repeated

question 43

Multiple Choice

Suppose that Ben and Tim are playing a finitely repeated flag game. The game starts with 7 flags in the ground, and the players take turns removing the flags. A player must remove either 1, 2, or 3 flags per turn. The player who takes the last flag out of the ground, whether it is by itself or in a group, wins the game. Assume that Ben decides first on how many flags to remove. How many flags should Ben remove on his first turn to guarantee that he will win the game? Use backward induction.

• A) 1
• B) 2
• C) 3
• D) either 1 or 2

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Definitions:

Multiple Devices

The ability to use or synchronize an application or service across more than one device, such as smartphones, tablets, and computers.

Voting Options

Features within communication platforms or systems that allow participants to make choices or express preferences among a set of options, often used in decision-making processes.

RSS Feed

A digital syndication tool that provides updates on web content to both users and software in a consistent, readable format for computers.

Reuse

The practice of using something again, either in its original form or with minor modifications.