Five roommates are planning to spend the weekend in their apartment watching
movies, and they are debating how many movies to watch. The table below shows
each roommate's willingness to pay for each of the movies:
$$\begin{aligned}\\\&\begin{array}{lccccc} & \text { Ava } & \text { Ridley }
& \text { Spike } & \text { Kathryn } & \text { Quentin } \\\\\hline \text {
First film } & \$ 14 & \$ 10 & \$ 8 & \$ 4 & \$ 2 \\\\\text { Second film } &
12 & 8 & 4 & 2 & 0 \\\\\text { Third film } & 10 & 6 & 2 & 0 & 0 \\\\\text {
Fourth film } & 6 & 2 & 0 & 0 & 0 \\\\\text { Fifth film } & 2 & 0 & 0 & 0 & 0
\\\\\hline\end{array}\end{aligned}$$
A movie on their streaming service costs \(15\)dollar, which the roommates split
equally, so each pays \(3\)dollar per movie.
a. What is the efficient number of movies to watch (that is, the number that
maximizes total surplus)?
b. For each roommate, what is the preferred number of movies to watch?
c. What is the preference of the median roommate?
d. If the roommates held a vote on the efficient outcome versus the median
voter's preference, how would each person vote? Which outcome would get a
majority?
e. If one of the roommates proposed a different number of movies, could his
proposal beat the winning outcome from part (d) in a vote?
f. Can majority rule be counted on to reach efficient outcomes in the
provision of public goods?