No-regret Dynamics and Fictitious Play
  Potential based no-regret dynamics are shown to be related to fictitious play. Roughly, these are epsilon-best reply dynamics where epsilon is the maximal regret, which vanishes with time. This allows for alternative and sometimes much shorter proofs of known results on convergence of no-regret dynamics to the set of Nash equilibria. 
Yannick Viossat (CEREMADE), Andriy Zapechelnyuk (QMUL)
math.DS cs.GT