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http://hdl.handle.net/10119/9860
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Title: | UNO Is Hard, Even for a Single Player |
Authors: | Demaine, Erik D. Demaine, Martin L. Uehara, Ryuhei Uno, Takeaki Uno, Yushi |
Keywords: | UNO computational complexity game and puzzle PSPACE-completeness NP-completeness |
Issue Date: | 2010 |
Publisher: | Springer |
Magazine name: | Lecture Notes in Computer Science |
Volume: | 6099/2010 |
Start page: | 133 |
End page: | 144 |
DOI: | 10.1007/978-3-642-13122-6_15 |
Abstract: | UNO is one of the world-wide well-known and popular card games. We investigate UNO from the viewpoint of combinatorial algorithmic game theory by giving some simple and concise mathematical models for it. They includecooperative and uncooperative versions of UNO, for example. As a result of analyzing their computational complexities, we prove that even a single-player version of UNO is NP-complete, while it becomes in P in some restricted cases. We also show that uncooperative two-player's version is PSPACE-complete. |
Rights: | This is the author-created version of Springer, Erik D. Demaine, Martin L. Demaine, Ryuhei Uehara, Takeaki Uno, and Yushi Uno, Lecture Notes in Computer Science, 6099/2010, 2010, 133-144. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1007/978-3-642-13122-6_15 |
URI: | http://hdl.handle.net/10119/9860 |
Material Type: | author |
Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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