In this paper, we consider sequential dynamic team decision problems with
nonclassical information structures. First, we address the problem from the
point of view of a "manager" who seeks to derive the optimal strategy of the
team in a centralized process. We derive structural results that yield an
information state for the team which does not depend on the control strategy,
and thus it can lead to a dynamic programming decomposition where the
optimization problem is over the space of the team's decisions. We, then,
derive structural results for each team member that yield an information state
which does not depend on their control strategy, and thus it can lead to a
dynamic programming decomposition where the optimization problem for each team
member is over the space of their decisions. Finally, we show that the control
strategy of each team member is the same as the one derived by the manager. We
present an illustrative example of a dynamic team with a delayed sharing
information structure.Comment: 16 page