On Team Decision Problems with Nonclassical Information Structures

Abstract

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 solution 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.

16 pages

References in corpus (5)

• Optimal Time Trajectory and Coordination for Connected and Automated Vehicles
• An Overview on Optimal Flocking
• Optimal Control of Connected and Automated Vehicles at Multiple Adjacent Intersections
• Decentralized Optimal Coordination of Connected and Automated Vehicles for Multiple Traffic Scenarios
• Geometry of Information Structures, Strategic Measures and associated Control Topologies

Cited by in corpus (5)

• Mechanism Design Theory in Control Engineering: A Tutorial and Overview of Applications in Communication, Power Grid, Transportation, and Security Systems
• Approximate Information States for Worst-Case Control and Learning in Uncertain Systems
• A Framework for Effective AI Recommendations in Cyber-Physical-Human Systems
• A Q-learning Approach for Adherence-Aware Recommendations
• Stochastic Control with Distributionally Robust Constraints for Cyber-Physical Systems Vulnerable to Attacks