  We revisit the problems of state masking and state amplification through the
lens of empirical coordination. Specifically, we characterize the
rate-equivocation-coordination trade-offs regions of a state-dependent channel
in which the encoder has causal and strictly causal state knowledge. We also
extend this characterization to the cases of two-sided state information and
noisy channel feedback. Our approach is based on the notion of core of the
receiver's knowledge, which we introduce to capture what the decoder can infer
about all the signals involved in the model. Finally, we exploit the
aforementioned results to solve a channel state estimation zero-sum game in
which the encoder prevents the decoder to estimate the channel state
accurately.
