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Properties of
sets of nontransitive dice with few sides
Levi Angel and Matt Davis
Vol. 11 (2018), No. 4, 643–659
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Abstract |
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We define and investigate several properties that sets of nontransitive dice might have. We prove several implications between these properties, which hold in general or for dice with few sides. We also investigate some algorithms for creating sets of 3-sided dice that realize certain tournaments. |
Keywords
nontransitive dice, probability, tournaments
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Mathematical Subject Classification 2010
Primary: 05B30
Secondary: 60C05
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Milestones
Received: 15 December 2016
Revised: 22 May 2017
Accepted: 14 August 2017
Published: 15 January 2018
Communicated by Kenneth S. Berenhaut
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Authors |
| Levi Angel | |
| Department of Mathematics and
Computer Science Muskingum University New Concord, OH United States |
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| Matt Davis | |
| Department of Mathematics and
Computer Science Muskingum University New Concord, OH United States |
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