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An experimental investigation of evolutionary dynamics in the Rock-Paper-Scissors game

机译:剪刀石头布游戏中进化动力学的实验研究

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摘要

Game theory describes social behaviors in humans and other biological organisms. By far, the most powerful tool available to game theorists is the concept of a Nash Equilibrium (NE), which is motivated by perfect rationality. NE specifies a strategy for everyone, such that no one would benefit by deviating unilaterally from his/her strategy. Another powerful tool available to game theorists are evolutionary dynamics (ED). Motivated by evolutionary and learning processes, ED specify changes in strategies over time in a population, such that more successful strategies typically become more frequent. A simple game that illustrates interesting ED is the generalized Rock-Paper-Scissors (RPS) game. The RPS game extends the children's game to situations where winning or losing can matter more or less relative to tying. Here we investigate experimentally three RPS games, where the NE is always to randomize with equal probability, but the evolutionary stability of this strategy changes. Consistent with the prediction of ED we find that aggregate behavior is far away from NE when it is evolutionarily unstable. Our findings add to the growing literature that demonstrates the predictive validity of ED in large-scale incentivized laboratory experiments with human subjects.
机译:博弈论描述了人类和其他生物有机体中的社会行为。到目前为止,博弈论者可以使用的最强大的工具是纳什均衡(NE)的概念,该概念受完美理性的激励。 NE为每个人指定了一项策略,这样任何人都不会因单方面偏离其策略而受益。游戏理论家可以使用的另一个强大工具是进化动力学(ED)。在进化和学习过程的激励下,ED指出了人口中策略随时间的变化,因此,成功的策略通常会变得更加频繁。一个说明有趣的ED的简单游戏是广义的剪刀石头布(RPS)游戏。 RPS游戏将儿童游戏扩展到与平局有关或多或少重要的情况。在这里,我们通过实验研究了三个RPS游戏,其中NE总是以相等的概率随机化,但是这种策略的进化稳定性会发生变化。与ED的预测一致,我们发现当聚合行为在进化上不稳定时,其行为与NE相距甚远。我们的发现增加了越来越多的文献,这些文献证明了ED在人类受试者的大规模激励实验室实验中的预测有效性。

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