Occurrence of rank changes in random games.

<p>In the first row, we plot the estimated probability of getting at least rank changes as a function of the number of strategies for uniformly distributed payoffs (Panel A) and Gaussian distributed payoffs (Panel B). In the second row, we plot the estimated probability of getting at least changes in the most abundant strategy as a function of the number of strategies for uniformly distributed payoffs (Panel C) and Gaussian distributed payoffs (Panel D). Finally, on the third row we show the expected total number of rank changes for uniformly and Gaussian distributed payoffs (Panels E and F). Here, we used a Fermi imitation function in a population of size . Simulations: For each , (), random matrices are sampled.