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Positional strategies in games of best choice

Published 23 Oct 2018 in math.CO | (1810.09887v1)

Abstract: We study a variation of the game of best choice (also known as the secretary problem or game of googol) under an additional assumption that the ranks of interview candidates are restricted using permutation pattern-avoidance. We describe the optimal positional strategies and develop formulas for the probability of winning.

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