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The memory game
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Zwick, Uri and Paterson, Michael S. (1991) The memory game. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)
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PDF (Department of Computer Science Research Report)
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Abstract
The memory game is a popular card game played by children and adults around the world. Good memory is one of the qualities required in order to succeed in it. This however is not enough.When it is assumed that the players have perfect memory, the memory game can be seen as a game of strategy. The game is analysed under this assumption and the optimal strategy is found. This is simple and perhaps unexpected. In contrast to the simplicity of the optimal strategy, the analysis leading to its optimality proof is rather involved. It supplies an interesting example of concrete mathematics of the sort used in the analysis of algorithms. It is doubtful whether this analysis could have been carried out without resort to experimentation and substantial use of automated symbolic computation.
| Item Type: | Report | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science > Computer Science | ||||
| Library of Congress Subject Headings (LCSH): | Card games -- Mathematical models | ||||
| Series Name: | Department of Computer Science research report | ||||
| Publisher: | University of Warwick. Department of Computer Science | ||||
| Official Date: | August 1991 | ||||
| Dates: |
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| Number: | Number 186 | ||||
| Number of Pages: | 26 | ||||
| DOI: | CS-RR-186 | ||||
| Institution: | University of Warwick | ||||
| Theses Department: | Department of Computer Science | ||||
| Status: | Not Peer Reviewed | ||||
| Publication Status: | Unpublished | ||||
| Publisher Statement: | U. Zwick and M.S. Paterson, “The Memory Game”, <i>Theoretical Computer Science</i> <b>110</b>, pp. 169-196 (1993) | ||||
| Funder: | European Strategic Programme of Research and Development in Information Technology (ESPRIT) | ||||
| Grant number: | 3075 (ESPRIT) | ||||
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