 Brams and Fishburn (1978, 1983) proposed the following aggregation rule, which they called approval voting: for each profile \(\langle A_1, A_2 , \ldots ,A_n\rangle\), the set \(f(A_1, A_2 , \ldots ,A_n)\) of winning alternatives consists of all those alternatives that receive the largest number of individual approvals, i.e., all those alternatives \(x \in X\) such that, for every other alternative \(y \in X\), \(|\{i \in N : x \in A_i\}| \ge |\{i \in N : y\in A_i\}|.\)