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:
“People say that life is the thing, but I prefer reading.”
—Logan Pearsall Smith (1865–1946)
“Ceremony was but devised at first
To set a gloss on faint deeds, hollow welcomes,
Recanting goodness, sorry ere ‘tis shown;
But where there is true friendship, there needs none.”
—William Shakespeare (1564–1616)