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Game Theory and Strategy · Quiz 1 · 13 Jul 2025 · May 2025 term

Question 15: How many pure strategy Nash equilibria does this game ha…

Question 15

+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 pure strategy Nash equilibria does this game have?

  1. A

    1

  2. B

    2

  3. C

    3

  4. D

    4

Show answer

Correct answer

  • C

    3

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Question 15 of 19 in the IIT Madras BS Game Theory and Strategy (Game Theory) Quiz 1 paper sat on 13 Jul 2025, in the May 2025 term (IIT M DEGREE AN EXAM QDB2 13 July 2025). It carries 1 mark.

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  10. Q10This is a game of
  11. Q11How many terminal nodes does this game have?
  12. Q12How many information sets does this game have?
  13. Q13How many pure strategies does player 1 have?
  14. Q14How many pure strategies does player 2 have?
  15. Q16Which one of the Nash equilibria is also a subgame perfect equilibrium?
  16. Q17No. of sub games this game has
  17. Q18Based on the above data, answer the given subquestions.
  18. Q19Choose the correct alternative.