題組內容

四、Both Gigi and Helen maximize the expected utility, with a (Bernoulli) utility function $u(x) = \ln x$, wherex is the amount of money they can enjoy. Each of them has an initial wealth $10, but may suffer from an accident that occurs with probability 1/4.

4. _________(5%) Given that Helen's loss from the accident is $4, and Gigi's loss is $2, find out all the Pareto efficient mutual insurance schemes (not necessarily those described in the previous question), if exists.