Risk Spreading:
The mechanism of risk pooling we have discussed above works only if the risks are independent between two groups of people. You will find many events, especially the natural catastrophes, such as flood, earthquake and nuclear war where risk are not independent. Thus, when a catastrophic event is likely to affect many people simultaneously, risk-pooling mechanism will not work and we have to look for other means to insure.
A basic idea to work with is spreading risk such that it covers some, of the unaffected people in the scheme of insurance. As the utility function of risk averse people is convex, taking away small portion of money from each has a lower social cost compared to asking for a lot from a few people. Usually, private insurance companies don't enter in such markets. But often government intervenes by transferring money among parties. For example, on this type of approach, you should remember the compensation being collected for all kinds of disaster relief.
Risk spreading does not defray the total amount of risk faced by the society. Nevertheless, it improves social welfare as the aggregate loss for the society is lessened than that of the individual loss.