1. Team decision and game theory
A team decision problem consists of two or more of decision makers (DMs) that make decisions in a random environment. Each DM recieves (possibly partial) observations about the random environment. This observation is the DM’s information. A DM takes an action as a function of the information; this function is referred to the as the decision rule. Decision makers have common goal to achieve, for instance to minimize expected cost. The objective of each decision maker is to find a decision rule which minimizes the common expected cost functional. A team decision problem is in essence a decentralized optimal control problem. We study the role of externally provided randomness in team game and in team v/s team zero-sum games. We are answering following questions.
a) Does externally provided randomness benefit in team optimal cost?
b) What is kind of randomness benefits the team problem?