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arxiv: 1810.09887 · v1 · pith:GLTB432Cnew · submitted 2018-10-23 · 🧮 math.CO

Positional strategies in games of best choice

classification 🧮 math.CO
keywords bestchoicegamepositionalstrategiesadditionalassumptioncandidates
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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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