On a Certain Cooperative Hat Game

Jonathan Kariv, Dmytro Yeroshkin · arXiv (Cornell University) · 2014

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.

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