In voting theory, a Condorcet candidate is a candidate who always wins in a 2-person election but loses in larger election. For example, consider the 6-tuples of 6-sided
die rolls ,
,
and
.
Represent a two-person election by considering all 36 outcomes for rolling these two dice. Then
beats
22 to 14, and beats
20 to 16. In a three way election,
wins with 82,
is second with 80, and
is last with 54.