Before revision:  Our starting point is to show that all continuous-time Follow-the-Regularized-Leader (FTRL) dynamics, which includes the well-known Replicator Dynamic, are lossless, i.e. it is passive with no energy dissipation.
After revision:  Our starting point is to show that all continuous-time Follow-the-Regularized-Leader (FTRL) dynamics, which include the well-known Replicator Dynamic, are lossless, i.e. it is passive with no energy dissipation.