Use the following distribution of 33 voters at eight different positions over the interval [0, 1] to answer Questions $$\begin{array} { | l | c | c | c | c | c | c | c | c | }
\hline \text { Position } & 0.1 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 \
\hline \begin{array} { l }
\text { Number of } \
\text { voters }
\end{array} & 1 & 4 & 6 & 6 & 6 & 2 & 5 & 3 \
\hline
\end{array}$$
-What is the equilibrium position in a two-candidate election?

Question

Use the following distribution of 33 voters at eight different positions over the interval [0, 1] to answer Questions $$\begin{array} { | l | c | c | c | c | c | c | c | c | } 
\hline \text { Position } & 0.1 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 \
\hline \begin{array} { l } 
\text { Number of } \
\text { voters }
\end{array} & 1 & 4 & 6 & 6 & 6 & 2 & 5 & 3 \
\hline
\end{array}$$
-What is the equilibrium position in a two-candidate election?

Quizplus · Accepted Answer

In a two-candidate election, the equilibrium position, often referred to as the median voter theorem, is the position of the median voter. Given the distribution, the median voter is at position 0.5 because with 33 voters, the median falls within the group of 6 voters at position 0.5, making it the equilibrium position.

Use the Following Distribution of 33 Voters at Eight Different