Affine utility on probability measures
= Affine utility on probability measures
An <affine utility on probability measures> functional satisfies $U_0(p\lambda+(1-p)\mu)=pU_0(\lambda)+(1-p)U_0(\mu)$ on mixtures of <probability measures>. Strict preferences are represented by comparing its real values, and indifference means equal values. This is cardinal utility on lotteries rather than merely an ordinal ordering of deterministic outcomes.