  This paper proposes the first implementation of an atomic storage tolerant to
mobile Byzantine agents. Our implementation is designed for the round-based
synchronous model where the set of Byzantine nodes changes from round to round.
In this model we explore the feasibility of multi-writer multi-reader atomic
register prone to various mobile Byzantine behaviors. We prove upper and lower
bounds for solving the atomic storage in all the explored models. Our results,
significantly different from the static case, advocate for a deeper study of
the main building blocks of distributed computing while the system is prone to
mobile Byzantine failures.
