Rock Scissors Paper Game
An evolutionary game that actually turns out to be a children’s game is rock-paper-scissors. The game is simple – rock bests scissors (blunts it), scissors bests paper (cuts it), and paper bests rock (wraps it up). Anyone who has ever played this simple game knows that it is not sensible to have any favoured play – your opponent will soon notice this and switch to the winning counter-play. The best strategy (a Nash equilibrium) is to play a mixed random game with any of the three plays taken a third of the time. This, in EGT terms, is a mixed strategy. But many lifeforms are incapable of mixed behavior — they only exhibit one strategy (known as a “pure” strategy”). If the game is played only with the pure Rock, Scissor and Paper strategies the evolutionary game is dynamically unstable: Rock mutants can enter an all scissor population, but then – Paper mutants can take over an all Rock population, but then – Scissor mutants can take over an all Paper population – and on and on…. This is easily seen on the game payoff matrix, where if the paths of mutant invasion are noted, it can be seen that the mutant "invasion paths" form into a loop. This in triggers a cyclic invasion behaviour.
Read more about this topic: Evolutionary Game Theory
Famous quotes containing the words rock, paper and/or game:
“There is no Holy One like the LORD, no one besides you; there is no Rock like our God.”
—Bible: Hebrew, 1 Samuel 2:2.
“To summarize the contentions of this paper then. Firstly, the phrase the meaning of a word is a spurious phrase. Secondly and consequently, a re-examination is needed of phrases like the two which I discuss, being a part of the meaning of and having the same meaning. On these matters, dogmatists require prodding: although history indeed suggests that it may sometimes be better to let sleeping dogmatists lie.”
—J.L. (John Langshaw)
“Wild Bill was indulging in his favorite pastime of a friendly game of cards in the old No. 10 saloon. For the second time in his career, he was sitting with his back to an open door. Jack McCall walked in, shot him through the back of the head, and rushed from the place, only to be captured shortly afterward. Wild Bills dead hand held aces and eights, and from that time on this has been known in the West as the dead mans hand.”
—State of South Dakota, U.S. public relief program (1935-1943)