 Anonymity: For any two profiles \(\langle J_1, J_2 , \ldots ,J_n\rangle\) and \(\langle J^*_1, J^*_2, \ldots ,J^*_n\rangle\) that are permutations of each other, \(F(J_1, J_2 , \ldots ,J_n) = F(J^*_1, J^*_1, \ldots ,J^*_n)\).