Acknowledgments First and foremost, I would like to thanks my advisor, James Haglund, for his endless support and ideas; as well as my partner, Bryce Payne, and my family Mastro and Charles Rodriguez, for their emotional and material encouragement and help, without which I could never have done work at this level. As soon as I saw the kinds of problems that… (More)
In 2010, Lionel Levine introduced a cooperative game, and posed the question of finding the optimal strategy. We provide an overview of prior work on this question, and describe several strategies that give the best lower bound on the probability of victory. We further generalize the problem to consider the case of arbitrary color distribution.