 Reinforcement: Suppose that \(N_1\) and \(N_2\) are disjoint sets of voters facing the same set of candidates. Further, suppose that \(W_1\) is the set of winners for the population \(N_1\), and \(W_2\) is the set of winners for the population \(N_2\). If there is at least one candidate that wins both elections, then the winner(s) for the entire population (including voters from both \(N_1\) and \(N_2\)) is the set of candidates that are in both \(W_1\) and \(W_2\) (i.e., the winners for the entire population is \(W_1\cap W_2\)).