2012:10: October Conundrum:

First Conundrum: Tic-Tac-Toe

gobblet-gobblersConsider ‘Russian Doll’ tic-tac-toe. Each person has two large, two medium and two small pieces; the large can swallow any medium or small, the medium can swallow any small. If someone gets 3 in a row they win, else it’s a tie. If blue goes first, do they have a winning strategy (can they make sure that they win, no matter how orange responds)? If not, can blue at least ensure that they do no worse than tie? Feel free to come to my office (Bronfman 202) to ‘test’ your theories on a board. Email solns to [email protected] by Oct 1, 2012.