ROCK, PAPER, SCISSORS

:For the Catatonia album, see ''Paper Scissors Stone (album)''
Rock, Paper, Scissors chart

'Rock, Paper, Scissors' is a two-person hand game. It is often used as a selection method in a similar way to coin flipping or drawing straws to randomly select a person for some purpose. However, unlike truly random selections, it can be played with skill if the game extends over many sessions, as a player can often recognize and exploit the non-random behavior of an opponent.
Sportsmen often use RPS (both officially and unofficially, in place of a coin toss) to decide on opening plays. Similarly, uncertain calls, or even the whole game in case of rain, may be so decided. It is also often used as a method for creating appropriately non-biased random results in live action role-playing games, as it requires no equipment. It is also used in some gambling sites as a form of novelty betting.
The exact name of the game can vary, with the three components appearing in a different order, or with "stone" in place of "rock". Non-English speakers may know the game by their local words for "rock, paper, scissors", although it is also known as 'Jankenpon' in Japan, 'Rochambeau' in France, and in South Africa as 'Ching-Chong-Cha', the words used in the 'count'.

Contents
Game play
Cheating
Variations
Mathematics
Non-transitivity
Example of a commutative non-associative magma
Analogies in nature and computing
Video games
Mating strategies
Cultural references
Federal case
Auction house RPS match
Tournaments
WRPS sanctioned tournaments
World Championship results since 2002
Tour events
World Series of Roshambo
USARPS Tournaments
National XtremeRPS Competition 2007-2008
Notes
References
External links

Game play


SssStein.jpg
SssPapier.jpg
SssSchere.jpg
Each of the three basic hand-signs ( from left to right: rock, paper and scissors ) beats one of the other two.

The players both count aloud to three, or speak the name of the game (e.g. "Rock! Paper! Scissors!" or "Reaux! Sham! Beaux!"), each time raising one hand in a fist and swinging it down on the count. On the third count, or on a further beat after the third count (saying "shoot"), the players change their hands into one of three gestures, which they then "throw" by extending it towards their opponent.

★ 'Rock', represented by a closed fist.

★ 'Paper', represented by an open hand.

★ 'Scissors', represented by the index and middle fingers extended.
The objective is to select a gesture which defeats that of the opponent. Gestures are resolved as follows:

★ Rock blunts/smashes scissors; rock wins.

★ Paper covers rock; paper wins.

★ Scissors cut paper; scissors wins.
If both players choose the same gesture, the game is tied and played again.
In some variations of the game, the winner of each round "uses" the weapon on the opponent's weapon, to demonstrate that they have won.
RPS is frequently played in a "best two out of three" match, and tournament players often prepare sequences of three gestures ahead of time.[1][2]
Jason Simmons, a competitive RPS champion, claims that women tend to start with scissors,[3] while the World RPS Society states that males have a tendency to lead with rock. At World RPS tournaments, Paper is statistically the least common throw.[4]

Cheating


A common timing-based tactic on a throw of paper or scissors is to wait until the last possible moment to dupe an opponent into believing that one may actually be throwing a scissors or rock. This is usually regarded as a foul at competitive RPS matches. In competitive RPS, however, a foul can be called on any throw that is revealed after thrower's arm swings past the perpendicular to his torso. In this case, the referee may then assign a throw of rock, or a "forced rock".
''Priming'' is the number of bounces one does before revealing the throw. Another way to cheat is to prime three times to an opponent's twice, so that one sees his opponent's throw without revealing his own. In most such cases, though, the round will be most likely replayed.
To prevent timing-based cheating, the players may be asked to hold their throwing hands behind their backs and reveal their already-formed throws after the count of three.
However, before playing, the two playing must decide which count they are going to throw their hands on.

Variations


Main articles: Rock, Paper, Scissors variations

There are many cultural variations of Rock, Paper, Scissors, which range from simply having different names for the gestures to increasing the number of players or gestures. For example, American children living in Japan have adapted the Japanese name "Jankenpon" to "John Can Point" with a second line "aiko desho!" (used for a tie in Japan) to "I go to shore" for a second round.

Mathematics


Non-transitivity

RPS is also often used as an example of the mathematical concept of non-transitivity. A transitive relation ''R'' is one for which ''a R b'' and ''b R c'' implies ''a R c''. A reflexive, antisymmetric, and transitive relation on a set is known as a partial ordering, from which notions of "greater" and "less" follow. A game option which is "greater" than another is closer to being optimal, but such a notion does not exist in RPS: The relation used to determine which throws defeat which is non-transitive. Rock defeats scissors, and Scissors defeat paper, but rock ''loses'' to paper. In fact, RPS could be called ''"antitransitive"'' because if A strictly defeats B, and B strictly defeats C, A necessarily loses against C.
Example of a commutative non-associative magma

In mathematics, it can be shown that there exist magmas that are commutative but not associative. One example is given by the operation of RPS.

Analogies in nature and computing


Video games

Combat or strategy-based video games often feature RPS-like cycles in their characters' or units' effectiveness against others. These often attempt to emmulate cycles in real-world combat (such as where cavalry are effective against archers, archers have an edge over spearmen, and spearmen are strongest against cavalry), or simple elemental trinities such as fire, water and air.
Such game mechanics can make a game somewhat self-balancing, by preventing any one simple strategy from dominating gameplay.
Many card-based video games in Japan use the RPS system as their core fighting system, with the winner of the RPS being able to carry out their designated attack.
The Nintendo Entertainment System video game, Princess Tomato in the Salad Kingdom, uses the RPS system to defeat enemies; although in the game RPS is referred to as "finger wars".
Mating strategies

The Common Side-blotched Lizard (''Uta stansburiana'') exhibits a RPS pattern in its different mating strategies.

Biologist Barry Sinervo from the University of California, Santa Cruz has discovered a RPS evolutionary strategy in the mating behaviour of the side-blotched lizard species ''Uta stansburiana''. Males have either orange, blue or yellow throats and each type follows a fixed, heritable mating strategy:[5]

★ Orange-throated males are strongest and do not form strong pair bonds; instead, they fight blue-throated males for their females. Yellow-throated males, however, manage to snatch females away from them for mating.

★ Blue-throated males are middle-sized and form strong pair bonds. While they are outcompeted by orange-throated males, they can defend against yellow-throated ones.

★ Yellow-throated males are smallest, and their coloration mimics females. Under this disguise, they can approach orange-throated males but not the stronger-bonding blue-throated specimens and mate while the orange-throats are engaged in fights.
This can be summarized as "orange beats blue, blue beats yellow, and yellow beats orange", which is similar to the rules of rock, paper, scissors.
The proportion of each male type in a population is similar in the long run, but fluctuates widely in the short term. For periods of 4-5 years, one strategy predominates, after which it declines in frequency as the strategy that manages to exploit its weakness increases. This corresponds to the stable pattern of the game in the replicator dynamics where the dynamical system follows closed orbits around the mixed strategy Nash equilibrium (Sinervo & Lively, 1996; Sinervo, 2001; Alonzo & Sinervo, 2001; Sinervo & Clobert, 2003; Sinervo & Zamudio, 2001).
Bacteria also exhibit a rock-paper-scissors dynamic when they engage in antibiotic production. The theory for this finding was demonstrated by computer simulation and in the laboratory by Benjamin Kerr, working at Stanford University with Brendan Bohannan (Nature. 2002 Jul 11;418(6894):171-4.). The antibiotics in question are the bacteriocins - more specifically, colicins produced by ''Escherichia coli''. Biologist Benjamin C. Kirkup, Jr. further demonstrated that the colicins were active as ''E. coli'' compete with each other in the intestines of mice, and that the rock-paper-scissors dynamics allowed for the continued competition between antibiotic producing and antibiotic sensitive strains, because antibiotic resistant strains would out-compete the producing strains, providing an environment in which sensitive strains could successfully become established again (Nature. 2004 Mar 25;428(6981):412-4.).

Cultural references


Because of its widespread use, the game has received substantial references in popular culture. Many television series poke fun at particular characters' incompetence at understanding the rules, or show how mischievous characters are often able to "win" the game by inventing new objects which beat all the others.
Federal case

In 2006, Federal Judge Gregory Presnell from the Middle District of Florida ordered opposing sides in a lengthy court case to settle a trivial (but lengthily debated) point over the appropriate place for a deposition using the game of rock-paper-scissors.[6] The ruling in ''Avista Management v. Wausau Underwriters'' stated:
Auction house RPS match

When Takashi Hashiyama, CEO of a Japanese television equipment manufacturer, decided to auction off the collection of Impressionist paintings owned by his corporation, including works by Cézanne, Picasso and van Gogh, he contacted two leading U.S. auction houses, Christie's International and Sotheby's Holdings, seeking their proposals on how they would bring the collection to the market as well as how they would maximize the profits from the sale. Both firms made elaborate proposals, but neither was persuasive enough to get Hashiyama’s business. Willing to split up the collection into separate auctions, Hashiyama asked the firms to decide between themselves who would get the Cézanne's "Large Trees Under the Jas de Bouffan", worth $12-16 million.
The houses were unable to reach a decision. Hashiyama told the two firms to play RPS, to decide who would get the rights to the auction, explaining that "it probably looks strange to others, but I believe this is the best way to decide between two things which are equally good".
The auction houses had a weekend to come up with a choice of move. Christie's went to the 11-year-old twin daughters of an employee, who suggested "scissors" because "Everybody expects you to choose 'rock'." Sotheby's admitted that they treated it as a game of chance and had no particular strategy for the game, but went with "paper".[7]
Christie's won the match, with millions of dollars of commission for the auction house.

Tournaments


WRPS sanctioned tournaments

Starting in 2002, the World Rock Paper Scissors Society (WRPS) standardized a set of rules for international play[8] and has overseen annual International World Championships. These open, competitive championships have been widely attended by players from around the world and have attracted widespread international media attention.[9][10][11][12][13] WRPS events are noted for their large cash prizes, elaborate staging, and colourful competitors.[14]
In 2004, the championships were broadcast on the U.S. television network Fox Sports Net.
World Championship results since 2002

YearHost CityMedalChampionGenderNationality
2002[15] Toronto
Gold
Peter LoveringMaleCanadian
Silver
Moe AsemMaleCanadian
Bronze
Dave FerrisMaleCanadian
2003[16]
Gold
Rob KruegerMaleCanadian
Silver
Marc RigauxMaleCanadian
Bronze
Patrick MerryMaleCanadian
2004[17]
Gold
Lee RammageMaleCanadian
Silver
Heather BirrellFemaleCanadian
Bronze
Chris BerggerenMaleAmerican
2005[18]
Gold
Andrew BergelMaleCanadian
Silver
Stan LongMaleAmerican
Bronze
Stewart WaldmannMaleAmerican
2006[19]
Gold
Bob CooperMaleBritish
Silver
Bryan BennettMaleAmerican
Bronze
Tom SmithMaleAmerican

Tour events

In addition to the International World Championships the WRPS also endorses or sanctions a year-round series of tournaments world wide. "Endorsed" tournaments agree to abide by the WRPS standardized international rules of play and code of conduct, while "Sanctioned" tournaments will net the winner a trip to compete at the International World Championships. Some of the major events of this tour include:

Roshambo Winery RPS Championships, Healdsburg, California

RPS Keystone Classic, Philadelphia, Pennsylvania

RPS Philadelphia City League Championship Series, Philadelphia, Pennsylvania

Rocksdam RPS Charity Tournament, Potsdam, New York

Atlantic Yards Smackdown, Brooklyn, New York

RPS Australian Championships

RPS New Zealand Championships

Norwegian RPS Championships
World Series of Roshambo

Professional poker player, Phil Gordon, hosts the annual World Series of Roshambo during the World Series of Poker every year. In 2006, Annie Duke outlasted a field of 64 players who paid $500 each to enter the tournament. First place prize was $10,000. This is the largest buy-in Roshambo event in the world.
USARPS Tournaments

USARPS League is the official Rock Paper Scissors League of the United States. It is sponsored by Bud Light. Matti Leshem is the co-commissioner of the USA Rock Paper Scissors League
In April 2006, the inaugural USA Rock Paper Scissors League Championship was held in Las Vegas, Nevada. Following months of regional qualifying tournaments held across the US, 257 players were flown to Las Vegas for a single-elimination tournament at the House of Blues where the winner received $50,000. The tournament was shown on the A&E Network on June 12, 2006.
At the first USA Rock Paper Scissors League Championship, Dave "The Drill" McGill defeated Robert "Fast Twitch" Twitchel to win the tournament. In addition, Jason "King of the Morning" Wood won a best-of-500 marathon to earn a brand new car.
The $50,000 2007 USARPS Tournament took place at the Las Vegas Mandalay Bay in May 2007 and was covered by RawVegas.tv and will also be airing on ESPN later this year. The winner was Jamie Langridge from Odessa, Texas and he went home with the Bud Light Trophy and $50,000.
National XtremeRPS Competition 2007-2008

The XtremeRPS National Competition[20] is a Nationwide RPS competition with Preliminary Qualifying contests starting in January 2007 and ending in May 2008, followed by regional finals in June and July 2008. The national finals will be held in Des Moines in August 2008, with a chance to win up to $5,000.

Notes


1. Steve Vockrodt, "Student rivals throw down at rock, paper, scissors tournament", ''Lawrence Journal-World'', April 8, 2007, retrieved April 13, 2007.
2. Michael Y. Park, "Rock, Paper, Scissors, the Sport", ''Fox News'', March 20, 2006, retrieved April 13, 2007.
3. Steve Inskeep, "In the News and On the Air: Iraq, Paper, Scissors", ''Morning E-dition'', NPR.org, November 10, 2006. Retrieved April 13, 2007
4. Graham Walker, "How to beat anyone at Rock Paper Scissors", World RPS Society, 2006, Retrieved April 13, 2007.
5. The rock-paper-scissors game and the evolution of alternative male strategies Sinervo, Barry
6. Exasperated judge resorts to child's game
7.

8. Game Basics
9. Fists fly in game of strategy Patrick Hruby
10. 2003 World Rock Paper Scissors Championship
11. Rock, Paper, Scissors A Sport?
12. Rock Paper Scissors contest being held
13. Rock, Paper, Scissors, the Sport Michael Y. Park
14. Gallery
15. 2002 International Rock Paper Scissors Championships Official Results
16. 2003 Championships Official Results
17. 2004 Championships Official Results
18. 2005 Championships Official Results
19. 2006 Championships Official Results
20. XTreme RPS Competition by Showtime Entertainment

References



★ 'Alonzo', Suzanne H. & 'Sinervo', Barry (2001): Mate choice games, context-dependent good genes, and genetic cycles in the side-blotched lizard, ''Uta stansburiana''. ''Behavioral Ecology Sociobiology'' '49'(2-3): 176–186. (HTML abstract)

★ 'Culin', Stewart (1895): ''Korean Games, With Notes on the Corresponding Games at China and Japan''. (evidence of nonexistence of Rock, Paper, Scissors in the West)

★ 'Gomme', Alice Bertha (1894, 1898): ''The traditional games of England, Scotland, and Ireland'', 2 vols. (more evidence of nonexistence of Rock, Paper, Scissors in the West)

'Opie', Iona & 'Opie', Peter (1969): ''Children's Games in Street and Playground'' Oxford University Press, London. (Details some variants on Rock, Paper, Scissors such as 'Man, Earwig, Elephant' in Indonesia, and presents evidence for the existence of 'finger throwing games' in Egypt as early as 2000 B.C.)

★ 'Sinervo', Barry (2001): Runaway social games, genetic cycles driven by alternative male and female strategies, and the origin of morphs. ''Genetica'' '112-113'(1): 417-434. (HTML abstract)

★ 'Sinervo', Barry & 'Clobert', Jean (2003): Morphs, Dispersal Behavior, Genetic Similarity, and the Evolution of Cooperation. ''Science'' '300'(5627): 1949-1951. (HTML abstract) Supporting Online Material

★ 'Sinervo', Barry & 'Lively', C. M. (1996): The Rock-Paper-Scissors Game and the evolution of alternative male strategies. ''Nature'' '380': 240-243. (HTML abstract)

★ 'Sinervo', Barry & 'Zamudio', K. R. (2001): The Evolution of Alternative Reproductive Strategies: Fitness Differential, Heritability, and Genetic Correlation Between the Sexes. ''Journal of Heredity'' '92'(2): 198-205. PDF fulltext

★ 'Sogawa', Tsuneo (2000): Janken. ''Monthly Sinica'' '11'(5). [Article in Japanese]

★ 'Walker', Douglas & 'Walker', Graham (2004): ''The Official Rock Paper Scissors Strategy Guide''. Fireside. (RPS strategy, tips and culture from the World Rock Paper Scissors Society).

External links



Switzerland Interplanetary Rock Paper Scissors Championship

USA Rock Paper Scissors League

The Armchair Theatre Ching Chong Cha Championships

XtremeRPS National Competition 2007-2008

Roshambo Winery's Annual Championships

PRPS Format, Rules and Strategy

World Rock Paper Scissors Society

Programming Challenge (C, C++ and C#) for Rock, Scissors and Paper

Stanford University's RoshamBot, an artificial intelligence RPS player

Throwing for The Gold

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