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Game Theory and Strategy · Quiz 2 · 4 Aug 2024 · May 2024 term

Question 10: Suppose there are four alternatives, named A, B, C, and …

Question 10

+1 markOne correct option

Suppose there are four alternatives, named A, B, C, and D. There are three voters who have the following individual rankings:

B≻1C≻1D≻1AB \succ_1 C \succ_1 D \succ_1 A

C≻2D≻2A≻2BC \succ_2 D \succ_2 A \succ_2 B

D≻3A≻3B≻3CD \succ_3 A \succ_3 B \succ_3 C

Based on the above data, answer the given subquestions.

Consider two statements about Borda count:
I: Borda Count (ignoring ties) always produces a complete, transitive ranking for a set of alternatives.
II: Outcome in Borda count depends on the presence of alternatives that seem “irrelevant”. Choose the correct alternative about these statements:

  1. A

    Only I is true

  2. B

    Only II is true

  3. C

    None is true

  4. D

    Both I and II are true

Show answer

Correct answer

  • D

    Both I and II are true

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Question 10 of 29 in the IIT Madras BS Game Theory and Strategy (Game Theory) Quiz 2 paper sat on 4 Aug 2024, in the May 2024 term (IIT M DEGREE AN EXAM QDB2 4 Aug 2024). It carries 1 mark.

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