Figure 4
From: An experimental investigation of evolutionary dynamics in the Rock-Paper-Scissors game
Distance from 4 Rock, 4 Paper, 4 Scissors.
As predicted by ED but not by NE, the average distance is larger when a = 1.1 than a = 2 and a = 4. (A): The 6 leftmost bars show the average distance observed in the experiment by treatment (error bars indicate ± 1 standard error). For comparison, the right most bar indicates the average distance and standard error expected according to NE. The distance from the center for a given period of a given session is defined as the number of subjects out of 12, who would have to switch strategies to have 4 rock, 4 paper and 4 scissors. (B): Stochastic simulations of reinforcement learning give comparative static results similar to our experimental data. As in our experimental data, population distributions farther from the center are more frequent when a = 1.1 than when a = 2 and a = 4. The data correspond to population distributions of rock paper scissors observed in 5 simulation runs of two versions of reinforcement learning simulations meant to follow Frequency Feedback and Payoff Feedback, respectively (see Supplementary Information for a description of the simulation).
