The Smith set, also known as the top cycle, is a concept from the theory of electoral systems that generalizes the Condorcet winner to cases where no such winner exists, by allowing cycles of candidates to be treated jointly as if they were a single Condorcet winner. Named after John H. Smith, the Smith set is the smallest non-empty set of candidates in a particular election, such that each member defeats every 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.
A set of candidates each of whose members pairwise defeats every candidate outside the set is known as a dominating set; thus, the Smith set is also called the smallest dominating set.
An alternative generalization of the Condorcet criterion (which is stricter than the Smith criterion) is given by the Landau set.
The Smithset, also known as the top cycle, is a concept from the theory of electoral systems that generalizes the Condorcet winner to cases where no...
Nash Grier on Set of You Get Me". People. Retrieved August 3, 2016. Natalie Jarvey (April 22, 2016). "'American Crime's' Taylor John Smith, Vine Star Nash...
September 14, Smith had eight receptions for 136 receiving yards and two touchdowns in a 47–23 victory over South Carolina. On September 28, Smithset career...
Bel-Air, around him. The show was successful and began his acting career. Smithset for himself the goal of becoming "the biggest movie star in the world"...
Samuel Frederick Smith (born 19 May 1992) is an English singer and songwriter. In October 2012, they performed on Disclosure's breakthrough single "Latch"...
which affected her training prior to the World Championships. In 1995, Smithset Irish records in 50 m, 100 m, 400 m and 800 m freestyle, 100 m backstroke...
that beat all candidates not in the group, known as the Smithset, always exists. The Smithset is guaranteed to have the Condorcet winner in it should...
"Citizen Smith" Citizen Smith: Pilot (TV Episode 1977) - IMDb, 12 April 1977, retrieved 12 August 2021 "Classic 1970s BBC comedy Citizen Smithset to return"...
character in the dancing film Make It Happen. Smith took up the guitar to fill downtime while on film sets, and in 2006, he and Henri O'Connor formed the...
José State University. On May 7, 1966, while he was at San Jose State, Smithset a world best of 19.5 seconds in the 200m straight, which he ran on a cinder...
1975, Smith's group, the Patti Smith Group, began a two-month weekend set of shows at CBGB in New York City with the band Television. The Patti Smith Group...
the action thriller Fast & Loose for Netflix and STXfilms, with Will Smithset to star, but by March 2022, he left the project to focus instead on The...
Callum John Smith (born 23 April 1990) is an English professional boxer. He held the World Boxing Association (WBA) (Super version) and Ring magazine...
Eugene Cyril Smith III (born October 10, 1990) is an American football quarterback for the Seattle Seahawks of the National Football League (NFL). He...
Smith scored a career-high 38 points on the road against the Milwaukee Bucks. On April 28, 2008, in Game 4 of their first round series, Smithset playoff...
form of a matrix. Smith was also first to discover the Cantor set. Smith was born in Dublin, Ireland, the fourth child of John Smith (1792–1828), a barrister...
Dame Margaret Natalie Smith CH DBE (born 28 December 1934) is an English actress. Known for her wit in comedic roles, she has had an extensive career...
Global Information