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Creators/Authors contains: "Nouiehed, Maher"

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  1. ; (, Journal of Applied Probability)
    Abstract We consider the Bernoulli bandit problem where one of the arms has win probability α and the others β, with the identity of the α arm specified by initial probabilities. With u = max(α, β), v = min(α, β), call an arm with win probability u a good arm. Whereas it is known that the strategy of always playing the arm with the largest probability of being a good arm maximizes the expected number of wins in the first n games for all n , we conjecture that it also stochastically maximizes the number of wins. That is, we conjecture that this strategy maximizes the probability of at least k wins in the first n games for all k , n . The conjecture is proven when k = 1, and k = n , and when there are only two arms and k = n - 1. 
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