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MATH 339 Game Theory Units: 3.00
This course highlights the usefulness of game theoretical approaches in solving problems in the natural sciences and economics. Basic ideas of game theory, including Nash equilibrium and mixed strategies; stability using approaches developed for the study of dynamical systems, including evolutionary stability and replicator dynamics; the emergence of co-operative behaviour; limitations of applying the theory to human behaviour.
Learning Hours: 120 (36 Lecture, 84 Private Study)
Requirements: Prerequisite (MATH 120/6.0 or MATH 121/6.0 or MATH 124/3.0) and (MATH 110/6.0 or MATH 111/6.0* or MATH 112/3.0).
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Computing expected payoffs of games.
- Using backward induction to find solutions to games in extensive form.
- Using iterated elimination of dominated strategies to find a solution to games in normal form.
- Using the theorem of mixed strategy Nash equilibria to find solutions to games in normal form.
- Finding the Nash equilibria of a game.