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Chapter 18: Q. 12 (page 441)

Why does a voting cycle make it impossible to decide on a majority-approved choice?

Short Answer

Expert verified

A voting cycle makes it impossible to decide on a majority-approved choice because if one candidate is preferred to another candidate, the second candidate is preferred to the third candidate, then a majority choice problem arises.

Step by step solution

01

Step 1. Voting cycle

A voting cycle is the situation in which a majority prefers A over B, B over C, and C over A.

02

Step 2. Voting cycle and majority-approved choice.

A voting cycle makes it impossible to decide on a majority-approved choice because if one candidate is preferred to another candidate, the second candidate is preferred to the third candidate, then a majority choice problem arises. If there is no majority, in the case of two voters then the majority decision also fails.

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