Nontransitive Random Variables and Nontransitive Dice

DOI10.1080/00029890.2021.1889921zbMath1481.60040OpenAlexW3157712901MaRDI QIDQ4988268

Andrzej Komisarski

Publication date: 12 May 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2021.1889921

zbMATH Keywords

Efron's dice

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05) Probabilistic games; gambling (91A60) Recreational mathematics (00A08)

Related Items (3)

Nontransitivity of tuples of random variables with polynomial density and its effects in Bayesian models ⋮ Using a SAT Solver to Find Interesting Sets of Nonstandard Dice ⋮ Intransitivity and meta-intransitivity: meta-dice, levers and other opportunities

Cites Work

• A multipartite version of the Turan problem - density conditions and eigenvalues
• Independent random utility representations
• On the eigenvalues of trees
• Non-Transitive Dominance
• The Paradox of Nontransitive Dice
• Intransitive Dice
• Max-Min Probabilities in the Voting Paradox
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