Before revision:  This allows us to extend the framework of Fox and Shamma ( Games, 2013 ) to prove not just global asymptotic stability results for game dynamics, but Poincar\'e recurrence results as well.
After revision:  This allows us to extend the framework of Fox and Shamma Games, 2013 ) to prove not just global asymptotic stability results for game dynamics, but Poincar\'e recurrence results as well.