 When correlation is introduced, the frequency with which fair division emerges changes drastically. The amount of correlation in the model is represented by the correlation coefficient \(\varepsilon\), which can range between 0 and 1. When \(\varepsilon=0\), there is no correlation at all and the likelihood of pairwise interactions is determined simply by the proportion of agents in the population following a particular strategy. When \(\varepsilon=1\), correlation is perfect and agents following a particular strategy only interact with their own kind. Intermediate levels of correlation introduce some tendency for agents to interact with their own kind, where the tendency increases with the value of \(\varepsilon\). Figure 15 illustrates how the basin of attraction of All Demand 5 changes as the correlation coefficient \(\varepsilon\) increases from 0 to  0.2.[9]  Once the amount of correlation present in the interactions reaches \(\varepsilon = 0.2\), fair division is virtually an evolutionary certainty. Note that this does not depend on there only being three strategies present: allowing for some correlation between interactions increases the probability of fair division evolving even if the initial conditions contain individuals using any of the eleven possible strategies.