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Topic: Ranked Pairs

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Condorcet winner

	Ranked Pairs - Wikipedia, the free encyclopedia
		Ranked Pairs (RP) or Tideman (named after its developer Nicolaus Tideman) is a voting method that selects a single winner using votes that express preferences.
		Of the formal voting system criteria, the Ranked Pairs method passes the majority criterion, the monotonicity criterion, the Condorcet criterion, the Condorcet loser criterion, and the independence of clones criterion.
		Ranked Pairs fails the consistency criterion and the participation criterion.
	en.wikipedia.org /wiki/Ranked_Pairs (1045 words)

	Gaming Today - Online
		The pair on the left (above) is the highest ranked pair called "gee jun." The hand on the right would only make a total of two, but since it contains one of the "wild cards" the player uses the three as a six for a total of five.
		The rank of the dominos is exactly the same as the rank of the pairs, except that the highest ranked pair of gee jun contains the two lowest ranked individual dominos.
		The pair on the left is a chop pair known as the 15th ranked pair, "chit." The pair on the right is not a chop pair or any other pair.
	www.gamingtoday.com /index.cfm?articleid=8415&AIN=353430 (1326 words)

	Maximize Affirmed Majorities - Wikipedia, the free encyclopedia
		MAM is a variation of the Ranked Pairs (RP) voting method, with additional refinements to break ties using as much information as available from a set of votes.
		Affirm each pair, starting with the one with the largest number of winning votes, and add one in turn to a graph as long as they do not create a cycle (which would create an ambiguity).
		The pairs of defeats, called the "majorities", are then sorted from the largest majority to the smallest majority.
	en.wikipedia.org /wiki/Maximize_Affirmed_Majorities (1225 words)

	Problem D - GWCF Contest 4 - The Decider
		Hands which both contain a pair are ranked by the value of the cards forming the pair.
		If these values are the same, the hands are ranked by the values of the cards not forming the pair, in decreasing order.
		Hands with the same highest pair are ranked by the value of their other pair.
	acm.uva.es /p/v103/10315.html (391 words)

	[No title]
		The rankings for the period 1 April 1995 to 31 March 1996 will be used to determine those player eligible to compete in the e 1996 Olympic Games in Atlanta.
		Singles and Doubles Ranking of player/pair beaten Bonus Points 1 50 2-5 45 6-10 36 11-20 24 21-30 18 31-50 12 51-75 6 76-100 3 101-150 2 151-200 1 6.Ranking The ranking of players/pairs who have competed in 8 or fewer events is worked out by taking the total points they have won (i.e.
		In the case of players/pairs who have competed in more than 8 events within the last 12 months, the ranking is obtained by dividing the total points by the number of events played.
	www.worldbadminton.com /text/ibf_ranking (591 words)

	Documentation for RPVote
		This margin is used to prioritize the pairs.
		Ranked Pairs gives the ranking of the candidates that always reflects the majority preference between any two options, except in order to reflect greater majority preferences.
		By "reflects" I mean that the final ranking between the particular pair of candidates agrees with the majority choice.
	vote.sourceforge.net /rp/docs.html (1169 words)

	Poker Hands (Site not responding. Last check: 2007-10-08)
		Hands which do not fit any higher category are ranked by the value of their highest card.
		Hands which both contain 2 pairs are ranked by the value of their highest pair.
		Hands which both contain three of a kind are ranked by the value of the 3 cards.
	plg.uwaterloo.ca /~acm00/S98-1/E.html (464 words)

	Pierce County Charter Review: Election reform by Krist Novoselic
		The main difference is that each voter ranks the candidates for office in his or her order of preference, from the first choice down through as many candidates as the voter chooses to rank, or as many as the rules permit.
		Ranked Choice Voting does not interfere with voters’ guaranteed right to free and equal election as it does not frustrate the voters’ will and allows each voter an equal opportunity to rank their choices.
		Ranked pairs can be tallied at local precincts and added up centrally, which means faster returns.
	charterreview.blogspot.com /2005/12/election-reform-by-krist-novoselic.html (3644 words)

	Ranked Pairs: Introduction
		Ranked Pairs is a method for conducting elections.
		Ranked Pairs gives the ranking of the options that always reflects the majority preference between any two options, except in order to reflect majority preferences with greater margins.
		For example, if we decide that A will be ranked over B, and B over C, it would be absurd to try to rank C over A, despite a majority opinion to this effect.
	condorcet.org /rp/intro.shtml (2426 words)

	Cincinnati Bridge Association 513 (Site not responding. Last check: 2007-10-08)
		The ranking is based on pairs so if you play with several different partners, you will appear on the ladder as many times as you have partners.
		If your pair finishes ahead of a pair who was previously ahead of you on the ladder, you jump ahead of them.
		Since the Ladder was devised to boost play, there is a reduction in rank for a pair who does not play at least once during a week.
	www.cincybridge.com /v2_ladder.htm (199 words)

	Badminton Canada: High Performance Selection Criteria - 2003 World Championships (Site not responding. Last check: 2007-10-08)
		Players/pairs ranked 1-8 in the IBF ranking list for each event will be considered in turn and, if entered by their Member Association, will have their entry accepted unless a total of four players/pairs from any one Member Association would thereby be exceeded in that event.
		Players/pairs ranked 9-24 shall be considered next, unless a total of three players/pairs from any one Member Association would thereby be exceeded in that event.
		Players/pairs ranked 9 and lower will be taken in turn and will qualify, if entered by their Member Association, unless a total of four players/pairs from any one Member Association would thereby be exceeded in that event.
	www.badminton.ca /eng/highperf/2003/worlds.shtml (708 words)

	Condorcet method - Electowiki
		In the Ranked Pairs (RP) voting method, as well as the variations Maximize Affirmed Majorities (MAM) and Maximum Majority Voting (MMV), pairs of defeats are ranked (sorted) from largest majority to smallest majority.
		Pairs are "affirmed" only if they do not create a cycle with the pairs already affirmed.
		In MAM and MMV, if two defeat pairs have the same number of votes for a victory, the defeat with the smaller defeat is ranked higher.
	wiki.electorama.com /wiki/Condorcet_method (1914 words)

	[No title]
		Players/pairs ranked 1 to 4 3.3.2 Players/pairs ranked 1 to 4 in the IBF ranking list for each event will be taken in turn and will qualify unless a total of three players/pairs from any one NOC would thereby be exceeded in that event.
		Players/pairs ranked 5 to 16 3.3.3 Players/pairs ranked 5 to 16 in the IBF ranking list for each event will be taken in turn and will qualify unless a total of two players/pairs from any one NOC would thereby be exceeded in that event.
		Players/pairs ranked 17 and lower 3.3.4 Players/pairs ranked 17 and lower in the IBF ranking list for each event will be taken in turn and will qualify unless a total of one player/pair from any one NOC would thereby be exceeded in that event.
	www.internationalbadminton.org /documents/OQS_for_BEIJING_2008.doc (1392 words)

	Guts
		In the standard version of the game, if only one person declares, that person wins the pot and a new pot is started in some way.
		Pairs beat unpaired cards, and higher cards beat lower cards.
		ranked hand within the unpaired hands is equivalent to the 37
	www.cs.hmc.edu /~ejwu/Guts.htm (1334 words)

	[No title] (Site not responding. Last check: 2007-10-08)
		both contain a pair are ranked by the value of the cards forming the pair.
		two pairs are ranked by the value of their highest pair.
		highest pair are ranked by the value of their other pair.
	www.tjhsst.edu /~rlatimer/assignments2005/warmups05-2.html (485 words)

	CIVS completion algorithms
		The difference between CIVS Ranked Pairs and MAM is that MAM uses a sophisticated random tie-breaking method, whereas CIVS Ranked Pairs is completely deterministic.
		The CIVS Ranked Pairs completion rule is a deterministic variant of Eppley's MAM procedure and is also related to other completion rules such as Tideman Ranked Pairs.
		In the CIVS ranked pairs algorithm, as in MAM, one preference is stronger than another if it has more votes in favor, or if the number of votes in favor are equal, if the preference has fewer votes against.
	www5.cs.cornell.edu /~andru/civs/rp.html (949 words)

	Rationing health care - prioritizing health services (Site not responding. Last check: 2007-10-08)
		For instance, the Commission’s original intent to rank condition-treatment pairs in strict numerical order depending on their cost-effectiveness analysis had to be abandoned early on.
		Because all life-saving therapy was ranked high, for instance (i.e., in either the first or third category), expensive treatments that merely postponed death in terminally ill patients received higher overall priorities than most clearly effective non-life-saving therapies.
		Of course, this was precisely in accordance with the Commission’s charter, which charged them with ranking priorities “according to comparative benefits of each service to the entire population being served,” in other words, to maximize the public good.
	www.yourdoctorinthefamily.com /grandtheory/section9_3.htm (1214 words)

	Definitions and Criteria
		If there is a single majority of the voters who rank every candidate in a set over every candidate outside that set, then the winner should always be a member of the set.
		The compliances of ranked pairs as shown above are shared by several Condorcet completion methods, including beatpath, river, cardinal pairwise, sequential dropping, and so on.
		Insincerely ranking an option lower in order to increase the probability that the same option will win, or insincerely ranking an option higher in order to decrease the probability that the same option will win.
	fc.antioch.edu /~james_green-armytage/vm/define.htm (2163 words)

	REGULATIONS for ELIGIBILITY and PROCESSING of ENTRIES for WORLD CHAMPIONSHIPS - Badminton Central Discussion Forums
		3.2.3 Players/pairs ranked one to eight in the IBF ranking list for each event will be considered in turn and are eligible to enter unless a total of four players/pairs from any one Member Association would thereby be exceeded in that event.
		3.2.4 Players/pairs ranked nine to 24 in the IBF ranking list for each event will be considered in turn and are eligible to enter unless a total of three players/pairs from any one Member Association would thereby be exceeded in that event.
		3.2.6 After considering the player/pair ranked 150 (Regulation 3.2.5), the players/pairs ranked nine and lower in the IBF ranking list for each event will be considered in turn and are eligible to enter unless a total of four players/pairs from any one Member Association would thereby be exceeded in that event.
	www.badmintoncentral.com /vb/showthread.php?t=8752 (880 words)

	[EM] River method -- updated summary
		One solution is of course to publish the River (or Ranked Pairs) diagram showing the process of the method and the reason for the decision, together with a second diagram showing all strongest beatpaths from the River (or Ranked Pairs) winner to all alternatives.
		Although this might be more probably in the Ranked Pairs case where the original diagram shows already more majorities than a tree, it can also easily happen in the River case.
		In contrast, in about 5% of the cases, River and Ranked Pairs were the same but Beatpath was not, and also in about 5% of the cases, River and Beatpath were the same but Ranked Pairs was not.
	lists.electorama.com /pipermail/election-methods-electorama.com/2004-October/013971.html (3493 words)

	Olympics Qualifying Regulations for Athens 2004 - Badminton Central Discussion Forums
		In such a case the NOC has the right to disregard ranking order of those players/pairs when determining its entries, and select from any of the players/pairs ranked 1 to 16 in filling its three qualification places for the respective event.
		In such a case the NOC has the right to disregard ranking order when determining its entries and select from any of the players/pairs ranked 1 to 64 in filling its two qualification places for the respective event, provided each player/pair eventually selected would have qualified under Regulations 3.2.1 to 3.2.3.
		Full details of IBF-sanctioned events and their World Ranking gradings are contained in the IBF Calendar of Events, published on the IBF website www.worldbadminton.net.
	www.badmintoncentral.com /vb/showthread.php?t=14697 (1540 words)

	[No title]
		That is obvious for the pairs where the tiles match, but it is also true for the less obvious cases of mixed (Chop) pairs.
		In the table of pair rankings, you may have noticed that the pair of nines is called Chop Gow, meaning mixed nines.
		Even though you will be giving up a high pair, the result will be two strong hands, or a Wong-3 instead of Pair-0 in the case of being dealt the 9 and 11 with the pair.
	members.cox.net /geejun/game/pg.html (2709 words)

	A Survey of Basic Voting Methods
		Many but not all ranked methods allow voters to give an equal ranking to more than one candidate, for example I can list A as my first choice, B as my second choice, C and D as tied for third, E at fourth, and so on.
		However, this is not at all necessary from the standpoint of the methods themselves; any ranked system can work from ballots that do not rank everyone, or are ‘truncated’ after a certain point.
		Generally, ranked ballot methods consider all candidates not ranked on a ballot to be tied for last place.
	fc.antioch.edu /~james_green-armytage/vm/survey.htm#multiple (6352 words)

	Rules of Card Games: Big Two
		These rank from two (high) down to three (low), and between cards of the same rank a higher suit beats a lower suit.
		For example, there is no "two pair" combination, and although a four of a kind requires a fifth card to complete the combination, a triple cannot be accompanied by extra cards (unless of course these make it into quads or a full house).
		Some play that the rank of a flush is determined by the rank of its highest card; the suit only becomes relevant if the highest cards are equal.
	www.pagat.com /climbing/bigtwo.html (4486 words)

	Tally Software for Elections and Meetings
		Warren D. Smith offers a Voting system testing program to create random voters (either honest or strategic) then tally their preferences by several one-winner rules: Approval, Borda, Bucklin, Condorcet, Copeland, Coombs, Ranked Pairs, STV by Hare's or Meek's rules (not tested for elections with more than 1 seat).
		Ranked Pairs is an excellent rule to enact one policy or to select a list of projects.
		Each voter grades or ranks most proposals on the ballot (A, B, C, or 1st, 2nd, 3rd.) A hand-tally process: One person enters tick marks in a Pairwise table while two or three people read aloud a ballot's preferences and confirm the tick marks.
	accuratedemocracy.com /z_tools.htm (1862 words)

	[EM] strength vs. length: Short Ranked Pairs (SRP)
		One way would be to slightly modify one of the nice immune methods, like Ranked Pairs.
		Recall that Ranked Pairs affirms the lexicographically maximal acyclic subset of defeats.
		Short Ranked Pairs (SRP) is a modification of Ranked Pairs into the direction of methods like Kemeny and Copeland.
	lists.electorama.com /pipermail/election-methods-electorama.com/2004-November/014208.html (873 words)

	Chinese Dominoes
		If the banker rolls the highest pair in his suit, he immediately wins all bets; if he rolls the lowest pair in his suit, he immediately loses all bets.
		Otherwise the dice are passed to the other players who try to roll a higher pair in the same suit as the banker; no money is exchanged on ties.
		The ranking, name, coloring and arrangement of pips of Chinese dominoes is based on tradition.
	www.pagat.com /tile/cdom/general.html (848 words)

	MCBA 2004/2005
		A generous proportion of the competing pairs will qualify for the National Final at the Young Chelsea Bridge Club on Sunday, 26th March April 2005 at 12 noon and ending at approximately 6.30 pm.
		Any MCBA pair who would like to be considered should contact Brenda Foley.
		The Middlesex heats of the David Boston Charity Simultaneous Pairs are in aid of charity (this year's charity has not yet been chosen).
	www.btinternet.com /~mcba/middlesex/04-05.htm (299 words)

	Game Gardens: Game details: Big Two (Site not responding. Last check: 2007-10-08)
		Between equal ranked pairs, the one containing the highest suit is better.
		Triples are similar to pairs, but with three cards of equal rank.
		In a straight, three is always low, two is always high, and ace is the second highest rank.
	gamegardens.com /gardens/view_game.wm?gameid=16 (342 words)

	MAM Calc (Site not responding. Last check: 2007-10-08)
		Example: [3: B C = D A ] means three voters ranked candidate B on top, followed by C & D tied for second in these three votes, and A on the bottom.
		MAM is also similar to Nicolaus Tideman's Ranked Pairs method; the most important difference is that Ranked Pairs measures the size of each majority by subtracting the size of the opposing minority.
		Because of this difference, Ranked Pairs does not satisfy some of the criteria that MAM satisfies.
	www.duniho.com /remote-mamcalc.php (407 words)

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