題組內容

六、Consider a population of consumers. When a consumer is a member of a club providing a level of club good G and having n members, they obtain utility \( U = M - \frac{G}{n} + \ln G - \frac{n}{k} \), where k is a positive constant and \( \frac{G}{n} \) is the charge for club membership.

2. Assuming the club chooses G optimally given its membership, calculate the loss due to membership of a club with suboptimal size. (5 分)