Prerequisites: Graduate standing.
The theory and applications of noncooperative and cooperative games. Two person zero sum matrix games, nonzero sum N-person games, Nash equilibria of games with a continuum of strategies, auctions, duels. Cooperative game theory, including the theory of bargaining, the theory of fair allocation of rewards using the nucleolus and using the Shapley value.
Outcomes: Students will obtain an understanding of the fundamentals of mathematical game theory, including the theoretical underpinnings of this theory, and will be able to apply this knowledge in a variety of settings.
The theory and applications of noncooperative and cooperative games. Two person zero sum matrix games, nonzero sum N-person games, Nash equilibria of games with a continuum of strategies, auctions, duels. Cooperative game theory, including the theory of bargaining, the theory of fair allocation of rewards using the nucleolus and using the Shapley value.
Outcomes: Students will obtain an understanding of the fundamentals of mathematical game theory, including the theoretical underpinnings of this theory, and will be able to apply this knowledge in a variety of settings.