Consider the following preference table for three voters to answer Questions $$\begin{array} { l l l l }
\text { First choice } & \text { B } & \text { D } & \text { A } \
\text { Second choice } & \mathrm { C } & \mathrm { B } & \mathrm { C } \
\text { Third choice } & \mathrm { A } & \mathrm { C } & \mathrm { B } \
\text { Fourth choice } & \mathrm { D } & \mathrm { A } & \mathrm { D } \
\text { Fifth choice } & \mathrm { E } & \mathrm { E } & \mathrm { E }
\end{array}$$
-Is there an agenda for which C would win a sequential pairwise election?

Question

Consider the following preference table for three voters to answer Questions $$\begin{array} { l l l l } 
\text { First choice } & \text { B } & \text { D } & \text { A } \
\text { Second choice } & \mathrm { C } & \mathrm { B } & \mathrm { C } \
\text { Third choice } & \mathrm { A } & \mathrm { C } & \mathrm { B } \
\text { Fourth choice } & \mathrm { D } & \mathrm { A } & \mathrm { D } \
\text { Fifth choice } & \mathrm { E } & \mathrm { E } & \mathrm { E }
\end{array}$$
-Is there an agenda for which C would win a sequential pairwise election?

Quizplus · Accepted Answer

In any sequential pairwise election, C can never win. It loses to A, B, and D in all possible pairings. Therefore, the answer is false.

Consider the Following Preference Table for Three Voters to Answer