 This is a more permissive rule than E-admissibility: every E-admissible option will be maximal, but not vice versa. To see the difference between the two rules, notice that if the decision-maker has two possible rankings, \(A \gt B \gt C\) and \(C \gt B \gt A,\) then all three options will be maximal but only \(A\) and \(C\) will be E-admissible (no particular option is definitively preferred to \(B,\) so \(B\) is maximal; but it is definitive that something is preferred to \(B,\) so \(B\) is not E-admissible).