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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 (Unpublished)

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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, Engineering and Medicine > 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:
DateEvent
August 1991Completion
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Status: Not Peer Reviewed
Publication Status: Unpublished
Reuse Statement (publisher, data, author rights): U.&nbsp;Zwick and M.S.&nbsp;Paterson, &ldquo;The Memory Game&rdquo;, <i>Theoretical Computer Science</i> <b>110</b>, pp.&nbsp;169-196 (1993)
Funder: European Strategic Programme of Research and Development in Information Technology (ESPRIT)
Grant number: 3075 (ESPRIT)
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