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majority voting rule

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Suppose there are five people -1, 2, 3, 4, and 5-who rank projects A, B, C, and D as follows.
1 2 3 4 5
A A D C B
D C B B C
C B C D D
B D A A A

Will any project be chosen by a majority vote rule? If so, which one? lf not, explain why.

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The way to find if an option is selected by majority voting rule it is useful to compare each option against every other one. Start with A.

Comparing A with B, you can see that A is preferred over B by 1 and 2, and B is preferred over A by 3, 4 and 5. Thus, A loses to B by a vote of 2-3.
Comparing A with C, again A is preferred over C by 1 and 2, and C is preferred over A by 3, 4 and 5. Thus, A loses to C by a vote of 2-3.
Comparing A to D, the results above follow, and A ...

Solution Summary

The way to find if an option is selected by majority voting rule is demonstrated here.

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