How to Play Old Maid with Virtual Players

Abstract Old Maid is a popular card game. While typically played with three or more players, it is less enjoyable with only two people. To address this, we propose a protocol to create a virtual player, Carol, by making use of card-based cryptography when only two people, Alice and Bob, are available to play Old Maid. Specifically, we design a card-based protocol to remove any pair of cards having the same number in Carol’s hand (namely, the virtual player’s hand) without leaking any information about Carol’s hand (more than necessary); our protocol uses additional cards aside from playing cards that are used in Old Maid. Using our protocol, without any third human player, Alice and Bob can have fun with Old Maid!

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Publication Details

Journal
Theory of Computing Systems
Published
2025-03-01
DOI
https://doi.org/10.1007/s00224-024-10203-w
Citations
3
Primary Topic
Augmented Reality Applications
Type
article
Field-Weighted Citation Impact
3.83
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article

How to Play Old Maid with Virtual Players

Takaaki Mizuki, Daiki Miyahara, Kazumasa Shinagawa
3 citations
Theory of Computing Systems
Augmented Reality Applications
3.83
article

How to Play Old Maid with Virtual Players

Takaaki Mizuki, Daiki Miyahara, Kazumasa Shinagawa
article en
3 citations

Abstract

Abstract Old Maid is a popular card game. While typically played with three or more players, it is less enjoyable with only two people. To address this, we propose a protocol to create a virtual player, Carol, by making use of card-based cryptography when only two people, Alice and Bob, are available to play Old Maid. Specifically, we design a card-based protocol to remove any pair of cards having the same number in Carol’s hand (namely, the virtual player’s hand) without leaking any information about Carol’s hand (more than necessary); our protocol uses additional cards aside from playing cards that are used in Old Maid. Using our protocol, without any third human player, Alice and Bob can have fun with Old Maid!

Theory of Computing SystemsVol. 69(1)
Tohoku University (JP), University of Electro-Communications (JP), Ibaraki University (JP), National Institute of Advanced Industrial Science and Technology (JP)
Openalex Percentile: Top 8%
Augmented Reality Applications
3.83
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