electiveHQ

Game Theory seeks to divine an optimum strategy for a person (or company) competing with others who are also seeking an optimum strategy. In this broad sense, game theory attempts to rationalise decision making in diverse areas such as science, business and human interaction.This module will be an introduction to some of the simpler models upon which game theory is based. It will concentrate on strategic games and cover the principle of equilibrium (where parties continue to follow a strategy even though that strategy is known to competitors) for zero sum games. Here von Neumann's minimax theorem applies and guarantees the existence of a game value and equilibrium strategies. We also consider Nash equilibrium for general games, the existence of such equilibria (as proved by Nash) and the search for them. Some topics in combinatorial game theory will also be covered if time permits. This module will be of interest and relevance to students in a broad range of disciplines. It is quite self-contained but see recommended/required prerequisites. ***If time permits, there will be a midterm exam counting for 20% of the final grade (the remaining 80% being provided by the end of Trimester exam).***