  We show on a 4x4 example that many dynamics may eliminate all strategies used
in correlated equilibria, and this for an open set of games. This holds for the
best-response dynamics, the Brown-von Neumann-Nash dynamics and any monotonic
or weakly sign-preserving dynamics satisfying some standard regularity
conditions. For the replicator dynamics and the best-response dynamics,
elimination of all strategies used in correlated equilibrium is shown to be
robust to the addition of mixed strategies as new pure strategies.
