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Sources of transitivity – CORRIGENDUM

Published online by Cambridge University Press:  16 February 2023

Daniel Muñoz*
Affiliation:
The University of North Carolina at Chapel Hill, 240 E Cameron Ave Chapel Hill, NC 27514, USA
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Abstract

Type
Corrigendum
Copyright
© The Author(s), 2023. Published by Cambridge University Press

The author would like to correct some text in the article above:

Page 10, line 2:-

‘Die X will probably beat Die Y if X’s highest four numbers are greater than the highest four numbers of Y. With this rule, the ‘will probably beat’ relation is cyclic: A > B > C > A.’

Should read:-

‘A die (a 1,…, a 6) has better odds against a die (b 1,…, b 6) if and only if there are more pairs (i, j) such that a i > b j than there are pairs (i, j) such that ai < b j. (See Polymath 2022).’

The author would like to apologize for this error.

References

Polymath, D.H.J. 2022. The probability that a random triple of dice is transitive. arXiv:2211.16156.Google Scholar