On Nontransitive Dice
Time and place
12:30 PM on Thursday, February 7th, 2019; NAC 6/114
Ethan Akin (CCNY)
Abstract
There exist nonstandard intransitive 6-sided dice. A nonstandard die is labeled with positive numbers and repeats are allowed. A die A beats die B if Prob(A > B) > 1/2. There exist such dice with A beats B, B beats C and C beats A. We show that with n K-sided dice (large K) any tournament can be modeled. A tournament on n is a choice of direction i beats j or j beats i for any pair i,j of distinct numbers between 1 and n. The talk should be accessible to undergrads.
