 Recall that the task at hand was to explain why we think the “obvious” strategy choice in a perfectly symmetric resource allocation problem is for both players to ask for half of the resource. What the above shows is that, in a population of boundedly rational agents who modify their behaviours in a manner described by the replicator dynamics, fair division is one, although not the only, evolutionary outcome. The tendency of fair division to emerge, assuming that any initial condition is equally likely, can be measured by determining the size of the  basin of attraction  of the state where everyone in the population uses the strategy Demand 5 slices. Skyrms (1996) measures the size of the basin of attraction of fair division using  Monte Carlo methods,  finding that fair division evolves roughly 62% of the time.