Back to Search Start Over

UNO is hard, even for a single player

Authors :
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Demaine, Erik D.
Demaine, Martin L.
Uehara, Ryuhei
Uno, Takeaki
Uno, Yushi
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Demaine, Erik D.
Demaine, Martin L.
Uehara, Ryuhei
Uno, Takeaki
Uno, Yushi
Source :
MIT web domain
Publication Year :
2011

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 include cooperative 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.

Details

Database :
OAIster
Journal :
MIT web domain
Notes :
application/pdf, en_US
Publication Type :
Electronic Resource
Accession number :
edsoai.on1141888369
Document Type :
Electronic Resource