Use the following distribution of 31 voters at seven different positions over the interval [0, 1] to answer the Questions $$\begin{array} { | l | c | c | c | c | c | c | c | }
\hline \text { Position } & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.7 & 0.8 \
\hline \begin{array} { l }
\text { Number of } \
\text { voters }
\end{array} & 1 & 4 & 5 & 6 & 5 & 6 & 4 \
\hline
\end{array}$$
-What is the equilibrium position in a two-candidate election?

Question

Use the following distribution of 31 voters at seven different positions over the interval [0, 1] to answer the Questions $$\begin{array} { | l | c | c | c | c | c | c | c | } 
\hline \text { Position } & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.7 & 0.8 \
\hline \begin{array} { l } 
\text { Number of } \
\text { voters }
\end{array} & 1 & 4 & 5 & 6 & 5 & 6 & 4 \
\hline
\end{array}$$
-What is the equilibrium position in a two-candidate election?

Quizplus · Accepted Answer

In a two-candidate election, the equilibrium position, according to the median voter theorem, is where the median voter's preference lies. Given the distribution, the median voter is the 16th voter (since there are 31 voters, the median is at (31+1)/2 = 16). Counting from the left, we reach the 16th voter at position 0.4, making it the equilibrium position.

Use the Following Distribution of 31 Voters at Seven Different