  In multi-terminal networks, feedback increases the capacity region and helps
communication devices to coordinate. In this article, we deepen the
relationship between coordination and feedback by considering a point-to-point
scenario with an information source and a noisy channel. Empirical coordination
is achievable if the encoder and the decoder can implement sequences of symbols
that are jointly typical for a target probability distribution. We investigate
the impact of feedback when the encoder has strictly causal or causal
observation of the source symbols. For both cases, we characterize the optimal
information constraints and we show that feedback improves coordination
possibilities. Surprisingly, feedback also reduces the number of auxiliary
random variables and simplifies the information constraints. For empirical
coordination with strictly causal encoding and feedback, the information
constraint does not involve auxiliary random variable anymore.
