n MPs seated arround a round-shaped table , prepared to vote for yes-or-no question , the voting goes by rounds , in which way the voters raise their hands in case of acceptance , or hand-down otherwise , each voter votes for the majority of his two adjacent votes next time , but if one of his neighbors votes -no- and the other one votes -yes- he keeps his current choice for the next round . Vote ends when all n voters keep their last votes for infinity whanever rounds last . ![enter image description here][1] **Question:** - what values of n ensure a definite end ? - if the voting was endless , how did the initial round begin like ? [1]: https://i.sstatic.net/Vw997.jpg