Smith Set

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:

    Most people sell their souls, and live with a good conscience on the proceeds.
    —Logan Pearsall Smith (1865–1946)

    Persons who insist to themselves that under one set of conditions only can they lead interesting and satisfying lives lay themselves open to bitter disappointments and frustrations.
    Hortense Odlum (1892–?)