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Game Theory and Strategy · Quiz 1 · 26 Oct 2025 · September 2025 term

Question 10: How many terminal nodes does this game have?

Question 10

+1 markOne correct option

Consider a two-player game in which player 1 can choose A or B. The game ends if he chooses A while it continues to player 2 if he chooses B. Player 2 can either choose C or D, with the game ending after C and continuing again with player 1 after D. Player 1 then can choose E or F, and then the game ends after each of these choices.
Imagine that the payoffs following choice A by player 1 are (2, 0), following C by player 2 are (3, 1), following E by player 1 are (0, 0) and following F by player 1 are (1, 2)
Model this as an extensive form game and answer the given subquestions:

How many terminal nodes does this game have?

  1. A

    3

  2. B

    2

  3. C

    4

  4. D

    5

Show answer

Correct answer

  • C

    4

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Question 10 of 16 in the IIT Madras BS Game Theory and Strategy (Game Theory) Quiz 1 paper sat on 26 Oct 2025, in the September 2025 term (IIT M DEGREE AN EXAM QDB2 26 Oct 2025). It carries 1 mark.

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