We study in this paper some features of a new voting rule recently proposed
by K.H. Kim and F.W. Roush. The (conjectural) optimality of this voting ru
le with respect to statistical manipulability by coalitions is discussed un
der two alternative probabilistic assumptions, namely the impartial culture
condition (IC) and the impartial anonymous culture condition (IAC). We als
o analyze the ability of Kim and Roush procedure to fulfil the Condorcet co
nditions. Some representations of its Condorcet efficiency in three-alterna
tive elections are obtained.