Fig. 3.

The probabilities of observing the different numbers of internal equilibria, 0 to (d – 1)ⁿ⁻¹, as the system gets more complex in the number of strategies n and the number of players d. Random games are generated by choosing the payoff entries a_k, b_k, … from a uniform distribution. If we consider that the order does matter and generate the random games based on the entries of a payoff structure with n^d entries, then the probability of observing a particular number of equilibria is only slightly lower (averages over 10⁸ different games with uniformly chosen payoff entries a_k, b_k, …).