 If there is no incommensurability, then there will be a single (expectational) utility function in \(\cU,\) as in standard EU theory. But when neither \(A \succ B\) nor \(B \succ A\) nor \(A \sim B,\) there will be some \(u \in\cU\) such that \(\EU_u (A) \gt \EU_u (B),\) and some \(u'\in\cU\) such that \(\EU_{u'}(B) \gt \EU_{u'}(A)\); and vice versa.