In voting systems, the Smith set, named after John H. Smith, is the smallest non-empty set of candidates in a particular election such that each member beats every other candidate outside the set in a pairwise election. The Smith set provides one standard of optimal choice for an election outcome. Voting systems that always elect a candidate from the Smith set pass the Smith criterion and are said to be "Smith-efficient".
A set of candidates where every member of the set pair-wise beats every member outside of the set is known as a dominating set.
Read more about Smith Set: Properties, Schwartz Set Comparison, Alternative Formulation, Algorithms
Famous quotes containing the words smith and/or set:
“The notion of making money by popular work, and then retiring to do good work, is the most familiar of all the devils traps for artists.”
—Logan Pearsall Smith (18651946)
“I am no source of honey
So why should they turn on me?
Tomorrow I will be sweet God, I will set them free.
The box is only temporary.”
—Sylvia Plath (19321963)