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:
“Together, we three, until the world crumbles and there is no longer a stone or a rock or a tree or a blade of grass.”
—Griffin Jay, and Harold Young. Mehemet Bey (Turhan Bey)
“Apart from their other characteristics, the outstanding thing about China’s 600 million people is that they are “poor and blank.” This may seem a bad thing, but in reality it is a good thing. Poverty gives rise to the desire for change, the desire for action and the desire for revolution. On a blank sheet of paper free from any mark, the freshest and most beautiful pictures can be painted.”
—Mao Zedong (1893–1976)
“Truth is the cry of all, but the game of few.”
—George Berkeley (1685–1753)