Introduction to Game Theory
Prerequisites: MATH 162 or MATH 162A.
The noncooperative and cooperative theories of 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 and will be able to apply this knowledge in a variety of settings.
The noncooperative and cooperative theories of 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 and will be able to apply this knowledge in a variety of settings.