All Topics  
Rock, Paper, Scissors

 
Rock, Paper, Scissors

   Email Print
   Bookmark   Link






 

Rock, Paper, Scissors



 
 
Rock-paper-scissors (also known as paper-scissors-rock, scissors-paper-stone, jan-ken-pon, rochambeau (sometimes spelled roshambo), ching-chang-wulla,ching-chong-cha and many derived terms), is a popular two-person hand game
Hand game

Hand games are those games which are played using only the hands of the players. Examples include Rock, Paper, Scissors, Odd or Even, Thumb Wrestling and Mercy ....
.

The game is often used as a selection method in a similar way to coin flipping
Coin flipping

Coin flipping or coin tossing is the practice of throwing a coin in the air to resolve a dispute between two parties or otherwise choose between two alternatives....
, drawing straws
Drawing straws

Drawing straws is a selection method used by a group to choose one person to do a task when no one has volunteered for it. The same practice could also be used to choose one of several volunteers should an agreement not be reached....
, or throwing dice to randomly select a person for some purpose.






Discussion
Ask a question about 'Rock, Paper, Scissors'
Start a new discussion about 'Rock, Paper, Scissors'
Answer questions from other users
Full Discussion Forum



Encyclopedia


Rock Paper Scissors
Rock-paper-scissors (also known as paper-scissors-rock, scissors-paper-stone, jan-ken-pon, rochambeau (sometimes spelled roshambo), ching-chang-wulla,ching-chong-cha and many derived terms), is a popular two-person hand game
Hand game

Hand games are those games which are played using only the hands of the players. Examples include Rock, Paper, Scissors, Odd or Even, Thumb Wrestling and Mercy ....
.

The game is often used as a selection method in a similar way to coin flipping
Coin flipping

Coin flipping or coin tossing is the practice of throwing a coin in the air to resolve a dispute between two parties or otherwise choose between two alternatives....
, drawing straws
Drawing straws

Drawing straws is a selection method used by a group to choose one person to do a task when no one has volunteered for it. The same practice could also be used to choose one of several volunteers should an agreement not be reached....
, or throwing dice 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.

Sportspeople often use the game (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 game
Live action role-playing game

A live action role-playing game is a form of role-playing game where the participants physically act out their characters' actions. The players pursue their characters' goals within a fictional setting represented by the real world, while interacting with one another in character....
s, as it requires no equipment. It is also used in some online gambling
Online gambling

Online gambling is a general term for gambling using the Internet. This article provides a brief introduction to some of the forms of online gambling, as well as discussing general issues....
 sites as a form of novelty betting.

Game play



The players both count aloud to three, or speak the name of the game (e.g. "Rock! Paper! Scissors!" or "Ro! Cham! Beau!"), each time raising one hand in a fist and swinging it down on the count. On the third count (saying "scissors!" or "Beau!" ), the players change their hands into one of three gestures, which they then "throw" by extending it towards their opponent. A variation on this version (played in the United States) involves a fourth count—"SHOOT"—before players throw their gesture.

  • Rock, represented by a clenched fist.
  • Paper, represented by an open hand, with the fingers connected.
  • Scissors, represented by the index and middle fingers extended and separated.


The objective is to select a gesture which defeats that of the opponent. Gestures are resolved as follows:

  • Rock blunts or crushes scissors; rock wins.
  • Paper covers or captures rock; paper wins.
  • Scissors cuts paper; scissors wins.


If both players choose the same gesture, the game is tied and the players throw again. If the gestures chosen on each throw were truly random, the average number of throws required to decide a winner would be 1.5.

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. Otherwise the game is settled.

RPS is frequently played in a "best two out of three" match, and tournament players often prepare sequences of three gestures ahead of time.

Jason Simmons, a competitive RPS champion, claims that women tend to start with scissors, while the World RPS Society states that males have a tendency to lead with rock. At World RPS tournaments, scissors is statistically the least common throw.

Mathematics


Non-transitivity


RPS is also often used as an example of the mathematical concept of non-transitivity
Intransitivity

In mathematics, the term intransitivity is used for related, but different properties of binary relations:...
. A transitive relation
Transitive relation

In mathematics, a binary relation R over a Set X is transitive if whenever an element a is related to an element b, and b is in turn related to an element c, then a is also related to c....
 R is one for which a R b and b R c implies a R c. A reflexive
Reflexive relation

In set theory, a binary relation can have, among other properties, reflexivity or irreflexivity.At least in this context, relation always means a subset of X ? X....
, antisymmetric
Antisymmetric relation

In mathematics, a binary relation R on a Set X is antisymmetric if, for all a and b in Xor, equivalently,In mathematical notation, this is:...
, and transitive relation
Transitive relation

In mathematics, a binary relation R over a Set X is transitive if whenever an element a is related to an element b, and b is in turn related to an element c, then a is also related to c....
 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 "intransitive" because A is greater than B, and B is greater than C, yet A is not greater than C.

Variations

Players have developed numerous cultural and personal variations on the game, from simply playing the same game with different objects, to expanding into more weapons.

Additional weapons

With an odd number of choices, each beats half the weapons and loses to half the weapons. No even number of weapons can be made balanced, unless some pairs of weapons result in a draw; there will always be some weapons superior to others. These also lose some of the aesthetic elegance of the game, which is otherwise one of the simplest possible games of skill.

An example of an unbalanced four-weapon game adds "dynamite
Dynamite

Dynamite is an Explosive material based on the explosive potential of nitroglycerin, initially using diatomaceous earth or another absorbent substance such as sawdust as an adsorbent....
" as a trump. Dynamite, expressed as the extended index finger or thumb, always defeats rock, but is defeated by scissors. The paper-dynamite relationship is disputed; using it as a trump generally implies that "dynamite shreds paper," but there are those who claim that the paper would supposedly smother the wick. Because of this dispute (and the potential unfair advantage that would result), organized rock-paper-scissors contests never use dynamite.

The official roshambo rules of the Ultimate Players Association
Ultimate Players Association

The Ultimate Players Association, founded in 1979, is a not-for-profit organization that serves as the governing body of the sport of Ultimate in the United States....
 add "fire" and "water" as potential trumps. Fire will beat any of the standard weapons (rock, paper, scissors), but a player may only throw it once in his entire lifetime. Water may be played as many times as one wishes, but loses to any throw except fire. (Those who adopt this trump depend on good sportsmanship to enforce the once-per-lifetime rule.)

One popular balanced five-weapon expansion, invented by Sam Kass, adds "Spock
Spock

Spock is a character in the fictional Star Trek media franchise. First portrayed by Leonard Nimoy in the Star Trek: The Original Series, Spock also appears in the Star Trek: The Animated Series, the first six Star Trek movies, two episodes of Star Trek: The Next Generation, and in numerous books, comics, video games....
" and "lizard
Lizard

Lizards are a large and widespread group of squamate reptiles, with nearly 5,000 species, ranging across all continents except Antarctica as well as most oceanic island chains....
" to the standard three. "Spock" is signified with the "live long and prosper" hand gesture, while "lizard" is shown by forming the hand into a sock-puppet-like mouth. Spock crushes scissors and vaporizes rock; he is poisoned by the lizard and disproved by the paper. Lizard poisons Spock and eats paper; it is crushed by the rock and decapitated by the scissors. This variant was covered in a 2005 article of The Times
The Times

The Times is a daily national newspaper published in the United Kingdom since 1785 when it was known as The Daily Universal Register.The Times and its sister paper The Sunday Times are published by Times Newspapers Limited, a subsidiary of News International....
, and appeared in an episode
List of The Big Bang Theory episodes

This is a list of episodes from the television series The Big Bang Theory. The Big Bang Theory is an American comedy series created and executive produced by Chuck Lorre and Bill Prady....
 of the sitcom The Big Bang Theory
The Big Bang Theory

The Big Bang Theory is an American situation comedy created and executive produced by Chuck Lorre and Bill Prady, which premiered on CBS on September 24, 2007....
 in 2008.

"The Ultimate Rock, Paper, Scissors Chart", contains no less than 25 possible hand shapes

Different weapons

A variation found in Indonesia is composed of an earwig, a human, and an elephant. The earwig is able to climb into the elephant's ear and drive it insane, while the human crushes the earwig and the elephant crushes the human.

The popular television series That 70's Show features a nuclear war-like version. The cockroach survives the nuclear bomb, the nuclear bomb destroys the foot (or human as it may apply), and the foot/human crushes the cockroach. When the character Fez
Fez (That '70s Show)

Fez is one of the six main fictional characters from the television series That '70s Show, who was portrayed by Wilmer Valderrama. He was the foreign exchange student in the gang of six local teenagers....
 grew upset over his repeated losses he cries out "It's as if everything is beaten by something else!"

Other common variations are cat, tinfoil, microwave; and bear, ninja, cowboy. In each case the first listed defeats the second, which defeats the third, which defeats the first. It is customary while playing Ninja-Cowboy-Bear for the opponents to stand back to back, take three paces in unison, then jump and turn around in character to denote their choice.

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 emulate 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.) 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 each round being able to carry out their designated attack. (A popular game involving an extended RPS strategy is Pokemon, in which attacks have varied effectiveness based on 17 elemental types.)

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 an 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:[13]

  • 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[citation needed] (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
Gregory A. Presnell

Gregory A. Presnell .Gregory Presnell is a United States District Judge for the United States District Court for the Middle District of Florida....
 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
Deposition (law)

In law, a deposition is witness testimony given under oath and recorded for use in court at a later date. In many countries, depositions are given in courtrooms....
 using the game of rock-paper-scissors. The ruling in Avista Management v. Wausau Underwriters stated:

The public release of this judicial order, widely circulated among area lawyers, was intended to shame the respective law firms regarding their litigation conduct by settling the dispute in a farcical manner.

Auction house RPS match
When Takashi Hashiyama, CEO of a Japanese television equipment manufacturer
Maspro Denkoh

Maspro Denkoh is a Japanese electronics manufacturer.External links...
, decided to auction off the collection of Impressionist paintings owned by his corporation, including works by Cézanne
Paul Cézanne

Paul C?zanne was a French artist and Post-Impressionist Painting whose work laid the foundations of the transition from the 19th century conception of artistic endeavour to a new and radically different world of art in the 20th century....
, Picasso
Pablo Picasso

Pablo Diego Jos? Francisco de Paula Juan Nepomuceno Mar?a de los Remedios Cipriano de la Sant?sima Trinidad Ruiz y Picasso was a Spanish people Painting, drawing, and Sculpture....
 and van Gogh
Vincent van Gogh

Vincent Willem van Gogh was a Dutch people Post-Impressionism artist. Some of his paintings are now among the world's best known, most popular and expensive works of art....
, he contacted two leading U.S. auction houses, Christie's
Christie's

Christie's is a leading art business and a fine arts auction house....
 International and Sotheby's
Sotheby's

Sotheby's is the world's third oldest auction house in continuous operation....
 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. Unwilling to split up the collection into separate auctions, Hashiyama asked the firms to decide between themselves who would hold the auction, which included 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 said that they treated it as a game of chance
Game of chance

A game of chance is a game whose outcome is strongly influenced by some randomness device, and upon which contestants frequently wager money. Common devices used include dice, spinning tops, playing cards, roulette wheels or numbered balls drawn from a container....
 and had no particular strategy for the game, but went with "paper".

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 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. WRPS events are noted for their large cash prizes, elaborate staging, and colorful competitors. In 2004, the championships were broadcast on the U.S. television network Fox Sports Net
Fox Sports Net

The Fox Sports Regional Networks, or simply Fox Sports Net , are a collection of Cable television regional sports networks in the United States owned and operated by News Corporation....
.

USARPS Tournaments


USA Rock Paper Scissors League
USA Rock Paper Scissors League

The United States of America Rock Paper Scissors League is a national competition league for the hand game rock paper scissors. The first national champion was crowned on 9 April, 2006 at the USARPS League Championship, which was held at the Mandalay Bay in Las Vegas, Nevada and televised by the A&E Network on 12 June....
 (USARPS) is a US-based rock-paper-scissors league. It is sponsored by Bud Light. Leo Pacis is the co-commissioner of the USARPS.

In April 2006, the inaugural USARPS Championship was held in Las Vegas, Nevada
Las Vegas, Nevada

Las Vegas is the most populous city in the U.S. state of Nevada, the seat of Clark County, Nevada, and an internationally renowned major resort city for gambling, shopping, and entertainment....
. 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
House of Blues

House of Blues is a corporate chain of music halls and restaurants founded in 1992 by Hard Rock Cafe founder Isaac Tigrett and his friend and investor Dan Aykroyd....
 where the winner received $50,000. The tournament was shown on the A&E Network
A&E Network

A&E is a cable television and satellite television television network with headquarters in Manhattan and offices in Stamford, Connecticut, Atlanta, Detroit, Los Angeles, Chicago, and London....
 on June 12, 2006.

The $50,000 2007 USARPS Tournament took place at the Las Vegas Mandalay Bay in May 2007.

In 2008, Sean Sears beat out 300 other contestants and walked out of the Mandalay Bay Hotel & Casino with $50,000.

The inaugural Budweiser International Rock, Paper, Scissors Federation Championship was held in Beijing, China after the close of the 2008 Summer Olympic Games. A Belfast man won the competition.

National XtremeRPS Competition 2007-2008


The XtremeRPS National Competition is a US nationwide RPS competition with Preliminary Qualifying contests that started in January 2007 and ended in May 2008, followed by regional finals in June and July 2008. The national finals were to be held in Des Moines in August 2008, with a chance to win up to $5,000.

See also

  • Simultaneous action selection
    Simultaneous action selection

    Simultaneous action selection, or SAS, is a game mechanic that occurs when players of a game take action at the same time. An example of a game that uses this type of movement is Diplomacy ....


External links