Question 10.8

2. The town of Centreville, population 16, has two types of residents, Homebodies and Revelers. Using the accompanying table, the town must decide how much to spend on its New Year’s Eve party. No individual resident expects to directly bear the cost of the party.

Money spent
on party
Individual marginal benefit of
additional $1 spent on party
Homebody Reveler
$0
$0.05 $0.13
1
0.04 0.11
2
0.03 0.09
3
0.02 0.07
4
  1. Suppose there are 10 Homebodies and 6 Revelers. Determine the marginal social benefit schedule of money spent on the party. What is the efficient level of spending?

  2. Suppose there are 6 Homebodies and 10 Revelers. How do your answers to part a change? Explain.

  3. Suppose that the individual marginal benefit schedules are known but no one knows the true proportion of Homebodies versus Revelers. Individuals are asked their preferences. What is the likely outcome if each person assumes that others will pay for any additional amount of the public good? Why is it likely to result in an inefficiently high level of spending? Explain.