In this paper, we present a new specification of warming cost and inco
rporate it into an integrated assessment model of global climate chang
e. In the new specification, warming cost is represented as the produc
t of possible large warming related welfare losses which occur with sm
all probabilities that depend on the amount of temperature rise. This
is in contrast to the conventional representation of warming cost as a
deterministic function of temperature rise. To avoid 'curse of dimens
ionality' problems, we assume that losses affect the utility of consum
ption without directly affecting consumption itself, and that the prob
ability of losses occurring is independent of the number of losses tha
t may have previously occurred. The results we obtain using this new a
pproach depend importantly on the specification of the loss probabilit
y function. Nevertheless, our results are qualitatively similar to pre
vious results obtained using a deterministic specification of warming
cost, in which cost is a cubic function of temperature rise.