I have been working on this problem for about 2 hours now and can't figure out the answer. I have come up with multiple ideas but none are working.
The question is:
Two players play the following game: Thirteen markers are arranged in a circle. Each player removes either one marker or two contiguous markers (i.e markers that started out next to each other.) The player who takes the last marker wins. Is there a winning strategy for one of the players? If so, for which one, and what strategy? ( A winning is a rule for how to play your moves that will always lead to a win.)
Any help would be nice. Thank you in advance!