Intransitivity and meta-intransitivity: meta-dice, levers and other opportunities

DOI10.1007/s40879-023-00618-zOpenAlexW4363652143MaRDI QIDQ2699566

Yanyan Li

Publication date: 19 April 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-023-00618-z

zbMATH Keywords

Condorcet paradoxdeterministic meta-intransitive geometrical objectsintransitive cyclesqualitative meta-intransitivityquantitative meta-intransitivitystochastic meta-intransitive objects

Mathematics Subject Classification ID

2-person games (91A05) Combinatorial probability (60C05) Generalizations of ordered sets (06A75)

Cites Work

• Generalized intransitive dice. II: Partition constructions
• Wilcoxon--Mann--Whitney test for stratified samples and Efron's paradox dice
• Rock-paper-scissors meets Borromean rings
• Nontransitivity of tuples of random variables with polynomial density and its effects in Bayesian models
• The probability of intransitivity in dice and close elections
• Generalized intransitive dice: mimicking an arbitrary tournament
• The nontransitivity problem for three continuous random variables
• Maximally Nontransitive Dice
• The Bizarre World of Nontransitive Dice: Games for Two or More Players
• Intransitive Dice
• Nontransitive Random Variables and Nontransitive Dice
• A Game of Nontransitive Dice
• Condorcet’s Paradox
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