In that case, there are nondictatorial voting systems that both respect unanimity and eliminate flip-flops.
There are voting systems that respect unanimity do exist.
The only voting system that respects unanimity and stops flip-flops is a dictatorial one.
A quiet moment of prayer in the church.
A couple of woman conversing by an old house.
Players are waiting in the hall.
The road crews are all completely sober.
Buy soon or you'll miss the chance.
The prospective payment system has objectives