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Game Theory and Strategy · End Term · 1 Sept 2024 · May 2024 term · Set QDB3

Question 7: Consider the following game: \begin{array}{lll} N = {1, 2…

Question 7

+1 markOne correct option

Consider the following game:

N={1,2,3,4}v(1)=v(2)=0v(3)=v(4)=1v(ϕ)=0v(1,2)=0v(2,3)=1v(1,3)=1v(2,4)=1v(1,4)=1v(3,4)=2v(1,2,3)=1v(2,3,4)=2v(1,2,4)=1v(1,3,4)=2v(1,2,3,4)=2\begin{array}{lll} N = \{1, 2, 3, 4\} & v(1) = v(2) = 0 & v(3) = v(4) = 1 \\ v(\phi) = 0 & & \\ v(1, 2) = 0 & v(2, 3) = 1 & \\ v(1, 3) = 1 & v(2, 4) = 1 & \\ v(1, 4) = 1 & v(3, 4) = 2 & \\ v(1, 2, 3) = 1 & v(2, 3, 4) = 2 & \\ v(1, 2, 4) = 1 & v(1, 3, 4) = 2 & v(1, 2, 3, 4) = 2 \end{array}

Based on the above data, answer the given subquestions

Identify the null players in this game

  1. A

    1 and 2

  2. B

    1 and 3

  3. C

    2 and 3

  4. D

    2 and 4

  5. E

    1 and 4

  6. F

    3 and 4

Show answer

Correct answer

  • A

    1 and 2

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Question 7 of 37 in the IIT Madras BS Game Theory and Strategy (Game Theory) End Term paper sat on 1 Sept 2024, in the May 2024 term (IIT M DEGREE AN EXAM QDB3 01 Sep 2024). It carries 1 mark.

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