Summary
2020
Session Number:A01
Session:
Number:A01-7
Remote Empirical Coordination
Michail Mylonakis, Photios Stavrou, Mikael Skoglund,
pp.31-35
Publication Date:2020/10/18
Online ISSN:2188-5079
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Summary:
We apply the framework of imperfect empirical coordination to a two-node setup where the action \(X\) of the first node is not observed directly but via \(L\) agents who observe independently impaired measurements \(\hat X\) of the action. These \(L\) agents, using a rate-limited communication that is available to all of them, help the second node to generate the action \(Y\) in order to establish the desired coordinated behaviour. When \(L<\infty\), we prove that it suffices \(R_i\geq I\left(\hat X;\hat{Y}\right)\) for at least one agent whereas for \(L\longrightarrow\infty\), we show that it suffices \(R_i\geq I\left(\hat X;\hat Y|X\right)\) for all agents where \(\hat Y\) is a random variable such that \(X-\hat X-\hat Y\) and \(\|p_{X,\hat Y}\left(x,y\right)-p_{X,Y}\left(x,y\right)\|_{TV}\leq \Delta\) ( \(\Delta\) is the pre-specified fidelity).