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:
“I would rather be remembered by a song than by a victory.”
—Alexander Smith (1830–1867)
“Whoever wants to set a good example must add a grain of foolishness to his virtue: then others can imitate and yet at the same time surpass the one they imitate—which human beings love to do.”
—Friedrich Nietzsche (1844–1900)