The Bizarre World of Nontransitive Dice: Games for Two or More Players. (1st January 2017)

• Record Type: Journal Article
• Authors: Grime, James
• Is Part Of: College mathematics journal. Volume 48:Number 1(2017)
• Page Start: 2
• Page End: 9
• Publication Date: 2017-01-01
• Subjects: Mathematics -- Study and teaching -- Periodicals; Mathematics -- Periodicals; Mathematics; Mathematics -- Study and teaching; Periodicals; 510.071
• DOI: 10.4169/college.math.j.48.1.2
• Languages: English
• ISSNs: 0746-8342

Abstract

Summary: 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.