  It has been shown that the Kullback-Leibler divergence is a Lyapunov function
for the replicator equations at evolutionary stable states, or ESS. In this
paper we extend the result to a more general class of game dynamics. As a
result, sufficient conditions can be given for the asymptotic stability of rest
points for the entire class of incentive dynamics. The previous known results
will be can be shown as corollaries to the main theorem.
