To simplify, let N=2. Furthermore, represent the probability distribution over states of nature by [0,1], such that 1= and 2=1. That is, is the probability that state of nature 1 is realized, and therefore the probability that state of nature 2 is realized is 1. Assume that preferences fall in the expected utility class, meaning, they are represented by the utility function form, u(x)=v(x1)+(1)v(x2), where v() is monotonically increasing. We refer to v() as the Bernoulli function. The following quetions explore the relationship between the shape of v() and risk attitudes. Consider a bundle a=(a1,a2) where a1v(x1)+(1)v(x2). - v() is strictly convex if for all (x1,x2) and without loss of generality x1v(x) or f(x)