 In general, it holds that \(E(C)=E^{*}(C)\) whenever \(|C|\geq 4\). Because of the properties of the voting game, we also have that \(E(C)=E^{*}(C)\) whenever \(|C|\leq 2\). The difference is made by coalitions of size 3: with \(E^{*}\), they can never achieve more than \(\{W\}\), while with \(E\) they can achieve \(\{\{w\} \mid w \in W\}^{+}\), if their voting power is at least 12. Notice that Luxembourg is irrelevant when it comes to bills proposed by the Commission, i.e., \(E(C) = E(C \cup \textrm{ Luxembourg})\). This is not the case for the other bills, as we have observed.