Theory of Games

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. 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.