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:
“Heat, ma’am! It was so dreadful here that I found there was nothing left for it but to take off my flesh and sit in my bones.”
—Sydney Smith (1771–1845)
“The dreariest spot in all the land
To Death they set apart;
With scanty grace from Nature’s hand,
And none from that of Art.”
—John Greenleaf Whittier (1807–1892)