  In this paper, we demonstrate the existence of team-optimal strategies for
static teams under observation-sharing information structures. Assuming that
agents can access shared observations, we begin by converting the team problem
into an equivalent centralized stochastic control problem through the
introduction of a topology on policies. We subsequently apply conventional
methods from stochastic control to prove the existence of team-optimal
strategies. This study expands upon the widely recognized common information
approach for team problems, originally designed for discrete scenarios, and
adapts it to a more abstract continuous framework. The primary difficulty in
this context is to establish the appropriate topology on policies.

Systems and Control;Systems and Control;Optimization and Control