Nontransitive Dice for Three Players

G4G13

Nontransitive Dice for Three Players

James Grime

Rec Math

With nontransitive dice you can always pick a dice with a better chance of winning than your opponent. There are well known sets of three or sets of four nontransitive dice. Here we explore designing a set of nontransitive dice that allows the player to beat two opponents at the same time. Three player games have been designed before using seven dice. We introduce an improved three player game using five dice, exploiting a reversing property of some nontransitive dice.

G13-060