Paper ID: 2210.04470

Actor-Critic or Critic-Actor? A Tale of Two Time Scales

Shalabh Bhatnagar, Vivek S. Borkar, Soumyajit Guin

We revisit the standard formulation of tabular actor-critic algorithm as a two time-scale stochastic approximation with value function computed on a faster time-scale and policy computed on a slower time-scale. This emulates policy iteration. We observe that reversal of the time scales will in fact emulate value iteration and is a legitimate algorithm. We provide a proof of convergence and compare the two empirically with and without function approximation (with both linear and nonlinear function approximators) and observe that our proposed critic-actor algorithm performs on par with actor-critic in terms of both accuracy and computational effort.

Submitted: Oct 10, 2022