A structural result for delayed sharing information structures

The n-step delayed sharing information structure is investigated. This information structure is a link between the classical information structure, where information is shared perfectly among the controllers, and a non-classical information structure, where there is no “lateral” sharing of information among the controllers. A structural result for optimal control policies in systems with such information structures is presented. A methodology for sequentially finding optimal policies is also established. The solution approach provides an insight for identifying structural results for general decentralized stochastic control problems.