  The uniform distribution is an important counterexample in game theory as
many of the canonical game dynamics have been shown not to converge to the
equilibrium in certain cases. In particular none of the canonical game dynamics
converge to the uniform distribution in a form of rock-paper-scissors where the
amount an agent can lose is more than the agent can win, despite this fact, it
is the unique Nash equilibrium. I will show that certain incentive dynamics are
asymptotically stable at the uniform distribution when it is an incentive
equilibrium.
