  The problem of characterising the zero-error capacity region for multiple
access channels even in the noiseless case has remained an open problem for
over three decades. Motivated by this challenging question, a recently
developed theory of nonstochastic information is applied to characterise the
zero-error capacity region for the case of two correlated transmitters. Unlike
previous contributions, this analysis does not assume that the blocklength is
asymptotically large. Finally, a new notion of nonstochastic information is
proposed for a noncooperative problem involving three agents. These results are
preliminary steps towards understanding information flows in worst-case
distributed estimation and control problems.
