 These are natural properties to impose on any voting method. A surprising consequence of these properties is that they rule out another natural property that one may want to impose: Say that a voting method is resolute if the method always selects one winner (i.e., there are no ties). Suppose that  \(V\) is a voting method that requires voters to rank the candidates and that there are at least 3 candidates and enough voters to form a Condorcet component (a profile generating a majority cycle with voters evenly distributed among the different rankings).  First, consider the situation when  there are exactly 3 candidates (in this case, we do not need to assume Unanimity).    Divide the set of voters into  three groups of size \(n\) and consider the Condorcet component:  