Game Theory

Game theory models conflict and cooperation between decision makers who are assumed to be rational. It has applications in multiple disciplines and areas. The aim of this course is to introduce the following topics at a basic level: combinatorial games, zero-sum games, non-zero sum games and cooperative games. Learning outcomes for the course: At the end of the course, the student should be able to • Model and analyse conflicting situations using game theory..INTENDED AUDIENCE: Math/CS/Econ/EE/Mgmt and all other PREREQUISITES: Calculus, Linear Algebra & Probability

Week 1: Combinatorial games: Introduction, Examples,Game of NimWeek 2: Combinatorial games: Impartial games, Hex game, Brouwer TheoremWeek 3,4: Zero-sum gamesWeek 5,6: Non-zero sum games Week 7,8: Cooperative games