Kuba, M., & Panholzer, A. (2024). On card guessing games: Limit law for no feedback one-time riffle shuffle. Advances in Applied Mathematics, 156, Article 102689. https://doi.org/10.1016/j.aam.2024.102689
E104-05 - Forschungsbereich Kombinatorik und Algorithmen
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Zeitschrift:
Advances in Applied Mathematics
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ISSN:
0196-8858
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Datum (veröffentlicht):
Mai-2024
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Umfang:
24
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Verlag:
ACADEMIC PRESS INC ELSEVIER SCIENCE
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Peer Reviewed:
Ja
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Keywords:
Card guessing; Limit law; Moments; No feedback; Riffle shuffle
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Abstract:
We consider the following card guessing game with no feedback. An ordered deck of n cards labeled 1 up to n is riffle-shuffled exactly one time. Then, the goal of the game is to maximize the number of correct guesses of the cards. One after another a single card is drawn from the top, the guesser makes a guess without seeing the card and gets no response if the guess was correct or not. Building upon and improving earlier results, we provide a limit law for the number of correct guesses and also show convergence of the integer moments.
