There are $n$ MPs seated around a circular table, prepared to cast their votes on a single yes-or-no question.
The voting goes by rounds. Each voter raises his hand for 'yes' and keeps it down for 'no'. Each voter votes forIf a voter's neighbors both vote the majority of his two adjacent votes next timesame way in one round, he will vote that way in the next round; but if one of his neighbors votes 'no' and the other one votes 'yes', he keeps his current choice for the next round.
The voting ends when all $n$ voters keep their votes no matter how many further rounds take place.
Question:
- what values of $n$ ensure a definite end?
- if the voting is endless, how were votes cast in the initial round?