Zero-Infinity Dilemma

A zero-infinity dilemma is a situation where the probability of occurence is tiny while the consequences are enormous. It is typically used in cost-benefit and risk analysis, however in this case the "zero" refers to the risk and the "infinity" refers to the cost.

A common reference of this dilemma has been when characterizing the choice of nuclear power: the risk of a mishap is incredibly small (close to zero) but if one does occur, the cost and repurcussions are infinitely large.