 The specific connection is the following: a CEU maximiser with respect to a convex capacity \(v\) is an EU maxminer over the so-called core of \(v\), defined as the set of probability functions that assign, for every event, a probability that is at least as great as the capacity assigned to that event by \(v\): \(\{P\in\mathcal{P}: P(A)\geq v(A), \forall A\in\mathcal{E}\}\).