Quiz Space

Game Theory and Strategy · Quiz 1 · 7 Jul 2024 · May 2024 term

Question 9: How many terminal nodes does this game have?

Question 9

+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

See the whole paperTake it as a mock test

Question 9 of 16 in the IIT Madras BS Game Theory and Strategy (Game Theory) Quiz 1 paper sat on 7 Jul 2024, in the May 2024 term (IIT M DEGREE AN EXAM QDB2 7 July 2024). It carries 1 mark.

This question was also asked in

More questions from this paper

  1. Q1Which player does not have strictly dominated strategy?
  2. Q2Which strategies survive Iterated Elimination of Strictly Dominated Strategy?
  3. Q3(Hawk-Dove) The following game has been widely used in evolutionary biology to understand how “fighting” and “display” …
  4. Q4Determined to crack down on the drug trade, a city mayor puts more officers out on patrol to disrupt the business of dr…
  5. Q5Determined to crack down on the drug trade, a city mayor puts more officers out on patrol to disrupt the business of dr…
  6. Q6Determined to crack down on the drug trade, a city mayor puts more officers out on patrol to disrupt the business of dr…
  7. Q7Determined to crack down on the drug trade, a city mayor puts more officers out on patrol to disrupt the business of dr…
  8. Q8This is a game of
  9. Q10How many information sets does this game have?
  10. Q11How many pure strategies does player 1 have?
  11. Q12How many pure strategies does player 2 have?
  12. Q13How many pure strategy Nash equilibria does this game have?
  13. Q14Which one of the Nash equilibria is also a subgame perfect equilibrium?
  14. Q15No. of sub games this game has
  15. Q16A firm (player 1) is considering entering an established industry with one incumbent firm (player 2). Player 1 must cho…