Figure 2 : Rock-Paper-Scissors Choices in the Lab.

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

Figure 2

As predicted by ED but not NE, the population distributions farther from the center occur more often when a = 1.1 than a = 2 and a = 4. In each of our 6 treatments, we had 5 sessions, each consisting of 12 subjects playing 100 rounds of rock paper scissors. In each round, a population distribution occurs, e.g. 8 rock, 3 paper and 1 scissors. Each population distribution can be represented by one of 91 points in an equilateral triangle, where the point in the bottom left represents the population distribution 0 rock, 0 paper, 12 scissors, and the point in the center represents the population distribution 4 rock, 4 paper, 4 scissors. Panel A shows six bubble plots over such triangles to represent the number of occurrences of each population distribution within each treatment, where the area of each bubble is proportional to the number of occurrences out of 500. The red lines connect the lattice points that are equidistant from the center and cover at least 90% of the data points. For comparison, panel B shows an additional bubble plot based on a simulation of NE, where each “individual” in each of 500 rounds independently chooses rock, paper, or scissors with equal probability. Panel C shows a plot with all possible contour lines corresponding to different distances.