Question

Twenty-nine voters must choose from among three alternatives: A,B, and C. The voters' preference schedules are shown below. C wins in a Borda count. Is the outcome different in a rank system that assigns 5 points for tirst choice, 2 points for second, and 1 point for third? No, C still wins. Yes, A now wins. Yes, B now wins. Yes, now there is no winner. 2 Twenty-nine voters must choose from among three alternatives: A,B, and C. The voters' preference schedules are shown below. Which alternative wins using the ranked choice system? A B C No winner is determined.

Answer 1

A voting cycle challenges the concept of majority preference by creating a loop where no clear winner emerges, illustrating the complexity of majority voting and its dependence on the voting system in use.

Step-by-step explanation:

The concept presented by the student is known as a voting cycle. A voting cycle can be challenging, especially in a situation with three choices where each choice is preferred by a majority over another, creating a loop without a clear-cut winner. This cycle makes it difficult to determine the majority's preference. When using different voting systems such as Borda count or assigning points for rankings, the outcome can be affected by how points are allocated for each rank. It is essential to understand that these different systems can yield different winners due to their mechanisms in handling preferences, and you can have a scenario where no choice receives a clear majority, indicating the complexities within majority voting.