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Single-winner electoral system
Ranked Pairs (RP), also known as the Tideman method, is a ranked voting method that determines a single winner from ballots that rank candidates in order
Ranked_pairs
Pairwise-comparison electoral system
also finishes ahead of C. So when ranked pairs considers the third largest majority, who rank C over A, their lower-ranked candidate A has already been placed
Condorcet_method
American economist and political scientist (born 1943)
political philosophy. In 1987, he devised the voting system called "ranked pairs" (or the "Tideman method" or simply "RP"), which is a type of Condorcet
Nicolaus_Tideman
Single-winner electoral system
hand, Ranked Pairs minimizes the largest majority that has to be reversed to determine the order of finish. In other words, when Ranked Pairs and the
Schulze_method
Voting systems that use ranked ballots
Ranked voting is any voting system that uses voters' rankings of candidates to choose a single winner or multiple winners. More formally, a ranked vote
Ranked_voting
is the identification of all undominated pairs implicitly ranked as corollaries of the explicitly ranked pairs. Thus, given a2 > a1 (i.e. good education
Potentially all pairwise rankings of all possible alternatives
Potentially_all_pairwise_rankings_of_all_possible_alternatives
applies to the top-ranked candidate). Descending Solid Coalitions also satisfies later-no-help. All Minimax Condorcet methods, Ranked Pairs, Schulze method
Later-no-help_criterion
Property of electoral systems
ranked pairs-minimax family. The Condorcet criterion implies the majority criterion since a candidate ranked first by a majority is clearly ranked above
Condorcet_winner
Property of electoral systems
ranking is A > B > C. Thus, A is elected ranked pairs winner by the first group of voters. Now, the ranked pairs winner for the second group of voters is
Consistency_criterion
Statistical hypothesis test
{\displaystyle R_{i}} indicates the rank. Notice that pairs 3 and 9 are tied in absolute value. They would be ranked 1 and 2, so each gets the average of
Wilcoxon_signed-rank_test
lower-ranking category. A hand is ranked within its category using the ranks of its cards. Individual cards are ranked, from highest to lowest: A, K, Q
List_of_poker_hands
Chinese gambling game using tiles
hierarchy within the named pairs. The pairs are considered to tell the story of creation: Gee Joon (至尊) is the highest ranked pair, and is the Supreme Creator
Pai_gow
Principle that voting for a candidate should help them
most 3 major candidates, Minimax Condorcet and its variants (such as ranked pairs and Schulze's method) satisfy the participation criterion. However, with
Participation_criterion
Single-winner ranked vote system
Llull method is a ranked-choice voting system based on counting each candidate's pairwise wins and losses. In the system, voters rank candidates from best
Copeland's_method
Padel championships
premier padel circuit. In the women's category, the FIP's 4th and 5th ranked pairs faced off in the final, with both making their second finals appearance
2024_NewGiza_P2
Index of articles associated with the same name
guarantee the election of a Condorcet winners (when one exists) include Ranked pairs, Schulze's method, and the Tideman alternative method. Methods that do
Voting_criteria
Point-based ranked voting system
candidate a number of points equal to the number of candidates ranked below them: the lowest-ranked candidate (the candidate least favoured by the voter) gets
Borda_count
Spanish padel player
finished as the second-best ranked pair on the circuit. They started the year knocking out the new number one ranked pair, Fernando Belasteguín and Pablo
Paquito_Navarro
Set preferred to any other by a majority
will also fail the Smith criterion. The Smith criterion is satisfied by ranked pairs, Schulze's method, Nanson's method, and several other methods. Moreover
Smith_set
maximum of two pairs if both are ranked in the top eight, while the remaining NOCs are entitled to one until the quota of 16 highest-ranked pairs is filled
List of Olympic medalists in badminton
List_of_Olympic_medalists_in_badminton
Method by which voters make a choice between options
(Copeland's, Dodgson's, Kemeny-Young, Maximal lotteries, Minimax, Nanson's, Ranked pairs, Schulze), the Coombs' method and positional voting.[citation needed]
Electoral_system
Voting systems using paired comparisons
candidate one-on-one. When there is no Condorcet winner, ranked-robin methods such as ranked pairs use the information contained in the sum matrix to choose
Round-robin_voting
Spanish padel player
against the third ranked pair Agustín Tapia and Sanyo Gutiérrez in the Reus Open, followed by two losses against the second ranked team Martín Di Nenno
Alejandro_Galán_Romo
Multi-winner electoral system
which each voter casts a single vote in the form of a ranked ballot. Voters have the option to rank candidates, and their vote may be transferred according
Single_transferable_vote
Grouping of candidates for election
the casual vacancy in a list-PR system is typically filled by the highest-ranked candidate on the departed representative's list who was not already elected
Electoral_list
Nonparametric measure of rank correlation
coefficient between the rank variables. For a sample of size n , {\displaystyle \ n\ ,} the n {\displaystyle \ n\ } pairs of raw scores ( X i
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
American actor (1989–2016)
understand under Stalin". Nationally, Yelchin's parents were the third-ranked pair team; they thus qualified for the 1972 Winter Olympics, but were not
Anton_Yelchin
multiple votes) cumulative(voter can cast more than one vote for a candidate) ranked (preferential voting; ordinal voting) (allows vote transfers) score (cardinal
List_of_electoral_systems
Single-winner electoral system
"Alaska's ranked-choice voting is flawed. But there's an easy fix". Washington Post. ISSN 0190-8286. Retrieved 2022-11-09. the way Alaska uses ranked-choice
Nanson's_method
Argentine padel player (born 1999)
1 ranked team, Lebrón and Paquito, in the semifinals, but lost in the final against Galán and Lima. They ended the season ranked fourth as a pair, with
Agustín_Tapia
Men's professional padel main circuit
15 and 25 WPT tournaments are held, plus a Master Final where the top-ranked pairs compete. Players on the circuit travel to different cities around the
World_Padel_Tour
Proportional-representation voting system
remainder seats unallocated. To apportion these seats, the parties are then ranked on the basis of their fractional remainders, and the parties with the largest
Largest_remainder_method
Electoral system criterion
minimax. Methods that satisfy reversal symmetry include the Borda count, ranked pairs, Kemeny–Young, and Schulze. Most rated voting systems, including approval
Reversal_symmetry
Property of electoral systems
though they pass the majority-favorite criterion. The Schulze method, ranked pairs, instant-runoff voting, Nanson's method, and Bucklin voting pass this
Mutual_majority_criterion
same NPC can invite a maximum of two WH1-WH2 Doubles pairs per NPC. If more than two doubles pairs with athletes from the same NPC can be created from
Badminton at the 2024 Summer Paralympics – Qualification
Badminton_at_the_2024_Summer_Paralympics_–_Qualification
Single-winner ranked voting rule
elections for the Doge). Each voter rank-orders all of the candidates on their ballot. If a candidate is ranked first by a majority of voters, that candidate
Coombs'_method
Single-winner electoral system
The Kemeny method is an electoral system that uses ranked ballots and pairwise comparison counts to identify the most popular choices in an election. It
Kemeny_method
maximum of two pairs if both were ranked in the top eight, while the remaining NOCs were entitled to one until the quota of 16 highest-ranked pairs was filled
Badminton at the 2016 Summer Olympics
Badminton_at_the_2016_Summer_Olympics
Property of electoral systems
decrease the winning chance of any candidate not in the set of clones. Ranked pairs, the Schulze method, and systems that unconditionally satisfy independence
Independence of clones criterion
Independence_of_clones_criterion
Single-winner electoral system family
rule developed by Nicolaus Tideman which selects a single winner using ranked ballots. This method is Smith-efficient, making it a Condorcet method, and
Tideman_alternative_method
Padel championships
top two ranked pairs facing each other for the 12th time. World number ones Ariana Sánchez and Paula Josemaría defeated the second-ranked pair, Claudia
2024_Premier_Padel_Finals
Single-winner ranked-voting electoral system
vote election system also is similar to other ranked-vote systems. Unlike the contingent vote, other ranked-vote systems – such as single transferable voting
Contingent_vote
of two pairs if both were ranked in the top eight, while the remaining NOC's were entitled to one until the quota of 16 highest-ranked pairs was filled
Badminton at the 2020 Summer Olympics
Badminton_at_the_2020_Summer_Olympics
Computer science data structure
Haeupler, Bernhard; Sen, Siddhartha; Tarjan, Robert E. (November 2011). "Rank-pairing heaps" (PDF). SIAM J. Computing. 40 (6): 1463–1485. doi:10.1137/100785351
Heap_(data_structure)
maximum of two pairs if both are ranked in the top eight, while the remaining NOCs are entitled to one until the quota of 16 highest-ranked pairs is filled
Badminton at the 2016 Summer Olympics – Qualification
Badminton_at_the_2016_Summer_Olympics_–_Qualification
Individual voter's first choice
voter's most-preferred candidate. In certain ranked systems such as first preference plurality, ranked-choice voting (RCV), and the single transferable
First-preference_vote
Indian cookery series
Dino cast assisted the pairs in cooking Bhajiya Platter and picked the ingredients for the Lava Idli. ^20: In the round, Pairs competed in teams. Team
Laughter Chefs – Unlimited Entertainment
Laughter_Chefs_–_Unlimited_Entertainment
Padel championships
winning their second title of 2025. In the men's category, the two top-ranked pairs reached the final for the second time, repeating the "Superclásico" for
2025_Brussels_P2
Padel championships
Qatar Sports Investments. In the women's category, the top-ranked and third-ranked pairs from the FIP rankings reached the final. Due to a physical issue
2025_Riyadh_P1
Topics referred to by the same term
randomized polynomial time, a class in computational complexity theory Ranked Pairs, a Condorcet voting method Real projective line Real projective plane
RP
Self-contradiction of majority rule
Examination of Ranked Choice Voting in the United States, 2004-2022". arXiv:2301.12075v2 [econ.GN]. McCune, David (2023-03-10). "Ranked Choice Bedlam in
Condorcet_paradox
Padel championships
Sports Investments. In the women's category, the number 1 and number 2 ranked pairs from the FIP faced each other in the final for the eighth time. Delfina
2025_Italy_Major
Badminton championships
maximum of two pairs if both are ranked in the top eight, while the remaining NOCs are entitled to one until the quota of 16 highest-ranked pairs is filled
Badminton at the 2020 Summer Olympics – Qualification
Badminton_at_the_2020_Summer_Olympics_–_Qualification
Salazar and Tamara Icardo becoming the new fourth-ranked pair. In the men's category, the top three ranked pairs also chose to stay together for 2024. However
Premier_Padel_2024
seat, making both forms non-proportional. In preferential block voting, a ranked ballot is used, ranking candidates from most to least preferred. Alternate
Block_preferential_voting
Voting system
be cheaper than holding a ranked-choice runoff (RCV), as the counting of votes in each round is simple. By contrast, ranked-choice runoff voting involves
Two-round_system
Padel championships
serving as the premier padel circuit. In the women's category, the two top-ranked pairs faced each other in a final for the fifth time, with a 5–5 head-to-head
2024_Kuwait_City_P1
Element of hierarchy in armed forces
number of troops when asked by his liege-lord, a king or merely a higher-ranked noble who had obtained his service by the gift of land. The troops' lord
Military_rank
Property of electoral systems
voting rules over ordinal preferences required that if only one candidate is ranked first by over 50% of voters, that candidate must win. Some methods that
Majority_winner_criterion
Method of voting
The ranked ballots can also be used for elections by STV on the local tier, an example is a proposal by Schulz, where not only can voters rank parties
Mixed ballot transferable vote
Mixed_ballot_transferable_vote
Padel championships
two sets. Coello/Tapia and Galán-Chingotto, the circuit's two highest-ranked pairs, opted not to compete in this tournament, thereby making Lebrón/Di Nenno
2024_Finland_P2
Electoral system thresholds
second preference as a whole. Not every second preference is a spare vote. Ranked voting systems differ in terms of their field of application, choice of
Spare_vote
Electoral pathology or paradox
support. The precise and formal meaning of "some voters rank X higher" can vary by context. In ranked-choice voting, this means that each voter whose preference
Non-negative_responsiveness
Theoretical rule in social choice theory
theorem. If there are at least three alternatives, dictatorship is the only ranked voting rule that satisfies unrestricted domain, Pareto efficiency, and independence
Dictatorship_mechanism
Single-winner electoral system
winner, Memphis, was the Condorcet loser and was also ranked last by any voter that did not rank it first. Only in the last scenario does the actual winner
Approval_voting
Padel championships
become the first non-top two ranked pair to win a men's tournament in 2024. For this tournament, the top four ranked pairs, Tapia/Coello, Chingotto/Galán
2024_Bordeaux_P2
Olympic badminton event
at least two pairs in the top 8 were able to send a maximum of 2 pairs (4 players); all other nations were limited to a single pair. Pairs were taken from
Badminton at the 2020 Summer Olympics – Women's doubles
Badminton_at_the_2020_Summer_Olympics_–_Women's_doubles
Nonpartisan blanket primary
sequential-elimination ranked IRV in the primary can lessen the effects of vote splitting. Vote splitting can also be an issue in the ranked-choice voting general
Top-four_primary
Theorem in political science
coincident with M do not come in balanced pairs. Then we may remove from this set any points at M, and any balanced pairs about M, without M ceasing to be a
Median_voter_theorem
Filling vacancies by electing runners-up
were eliminated in early rounds. For rules that do pass LIIA (such as ranked pairs or most rated voting rules), countbacks are trivial, because excluding
Countback
Single-winner ranked-choice voting system
In voting systems, the minimax Condorcet method is a single-winner ranked-choice voting method that always elects the majority (Condorcet) winner. Minimax
Minimax_Condorcet_method
Single-winner electoral system
Retrieved 2019-10-02. "St Louisans for Ranked Choice Voting". Retrieved 2019-10-02. "St Louisans for Ranked Choice Voting". Facebook. March 24, 2019
Unified_primary
Property of electoral systems
instant-runoff voting (AV), contingent vote, Borda count, Schulze method, ranked pairs, and Kemeny method. Any voting method that ends in a runoff passes the
Condorcet_loser_criterion
voting, or the plurality rule. For rules such as the Schulze method or ranked pairs, more sophisticated algorithms can be used to show polynomial runtime
Computational_social_choice
Padel championships
Qatar Sports Investments. In the women's category, the second and third ranked pairs in the FIP rankings reached the finals. Bea González and Claudia Fernández
2025_Asunción_P2
Process of electing more than one winner in the same election / district
single-winner voting. These can be classified based on the voting type—ranked voting as used in instant-runoff voting and single transferable voting vs
Multiwinner_voting
Single-winner ranked-choice electoral system
Instant-runoff voting (IRV; US: ranked-choice voting (RCV), AU: preferential voting, UK/NZ: alternative vote) is a single-winner ranked voting election system
Instant-runoff_voting
Olympics event
at least two pairs in the top 8 were able to send a maximum of 2 pairs (4 players); all other nations were limited to a single pair. Pairs were taken from
Badminton at the 2020 Summer Olympics – Men's doubles
Badminton_at_the_2020_Summer_Olympics_–_Men's_doubles
Competitive programming company
automatically scored and ranked globally based on their performance in these challenges. In addition to individual coding challenges, HackerRank also hosts contests
HackerRank
Proof all ranked voting rules have spoilers
all ranked voting rules must have spoilers, the frequency of spoilers differs dramatically by rule. Plurality-rule methods like choose-one and ranked-choice
Arrow's_impossibility_theorem
Argentine padel player
was the No. 1 ranked in both international and Spanish circuits at the time with Auguste. Together they would be ranked as the No. 1 pair for 13 consecutive
Fernando_Belasteguín
Votes that do not impact an election
not be used to elect the winner. When not all candidates are ranked by every voter, ranked vote systems can produce exhausted ballots – ballots with votes
Wasted_vote
Padel championships
included the reduction of the number of pairs in tournament draws (by eight pairs), lower prize money for lower-ranked pairs, and the requirement that qualifying
2025_Gijón_P2
Spanish padel player
partner Agustín Tapia. Together, they form the current number one ranked padel pair in Premier Padel. Arturo won his first tournaments as a professional
Arturo_Coello
Class of electoral systems
but here is a typical single-winner example: Voters mark ranked votes where candidates are ranked (first, second, third, etc.). First, the first choice votes
Bucklin_voting
Class of apportionment methods
In apportionment theory, rank-index methods are a set of apportionment methods that generalize the divisor method. These have also been called Huntington
Rank-index_method
Class of ranked-choice electoral systems
Positional voting is a ranked voting electoral system in which the options or candidates receive points based on their rank position on each ballot and
Positional_voting
Proportional-representation ranked voting system
STV is similar to CPO-STV in that it compares possible winning candidate pairs and selects the Condorcet winner. It is named in analogy to the single transferable
Schulze_STV
Bowls event
Bowls at the 2026 Commonwealth Games – Women's pairs B6-8 was held at the SEC Centre in Glasgow from 28 July to 3 August. Six nations entered the event
Bowls at the 2026 Commonwealth Games – Women's pairs B6–8
Bowls_at_the_2026_Commonwealth_Games_–_Women's_pairs_B6–8
Method of holding two elections with one vote
the voter to cast one vote for one of the pairs (which shall be taken to be a vote for each member of the pair who is a candidate in a contested election);"
Double_simultaneous_vote
Electoral systems with independent candidate ratings
minimum) everybody below it. Ranked voting, the other class of voting methods Plurality voting, the degenerate case of ranked-choice voting Arrow's impossibility
Rated_voting
Bowls event
Bowls at the 2026 Commonwealth Games – Men's pairs B6-8 was held at the SEC Centre in Glasgow from 28 July to 3 August. Six nations entered the event
Bowls at the 2026 Commonwealth Games – Men's pairs B6–8
Bowls_at_the_2026_Commonwealth_Games_–_Men's_pairs_B6–8
NOCs could enter a maximum of two pairs if they were ranked in the top eight with the rest entitled to a single pair until the quota of sixteen was reached
Badminton at the 2024 Summer Olympics – Qualification
Badminton_at_the_2024_Summer_Olympics_–_Qualification
Dimension of the column space of a matrix
has rank 1: there are nonzero columns, so the rank is positive, but any pair of columns is linearly dependent. Similarly, the transpose A
Rank_(linear_algebra)
Card game
suits, or ruff the combination with the same number of consecutively-ranked pairs in the trump suit. The table below describes whether some combinations
Sheng_ji
Algorithm used by Google Search to rank web pages
having objects of two kinds where a weighted relation is defined on object pairs. This leads to considering bipartite graphs. For such graphs two related
PageRank
Statistic comparing ordinal rankings
program: do colleges with a higher-ranked basketball program tend to have a higher-ranked football program? A rank correlation coefficient can measure
Rank_correlation
United States Alica Marcano Venezuela Aumi Guerra Dominican Republic Men's pairs details Rhino Page Cassidy Schaub United States Rodrigo Hermes Fábio Rezende
Bowling at the 2007 Pan American Games
Bowling_at_the_2007_Pan_American_Games
Proportional-representation ranked voting system
CPO-STV, or the Comparison of Pairs of Outcomes by the Single Transferable Vote, is a ranked voting system designed to achieve proportional representation
CPO-STV
into pairs, with the two highest ranked pair winners from 2018 to 2019 LKL season advancing straight into Quarterfinals, while the remaining pair winners
2019–20_King_Mindaugas_Cup
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