Game Theory by Indian Institute of Technology Bombay
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Combinatorial Games: Introduction and examples.
Combinatorial Games: N and P positions.
Combinatorial Games: Zermelo’s Theorem.
Combinatorial Games: The game of Hex.
Combinatorial Games: Nim games.
Combinatorial Games: Sprague-Grundy Theorem - I.
Combinatorial Games: Sprague-Grundy Theorem - II.
Combinatorial Games: Sprague-Grundy Theorem - III.
Combinatorial Games: The Sylver Coinage Game.
Zero-Sum Games: Introduction and examples.
Zero-Sum Games: Saddle Point Equilibria & the Minimax Theorem.
Zero-Sum Games: Mixed Strategies.
Zero-Sum Games: Existence of Saddle Point Equilibria.
Zero-Sum Games: Proof of the Minimax Theorem.
Zero-Sum Games: Properties of Saddle Point Equilibria.
Zero-Sum Games: Computing Saddle Point Equilibria.
Zero-Sum Games: Matrix Game Properties.
Non-Zero-Sum Games: Introduction and Examples.
Non-Zero-Sum Games: Existence of Nash Equilibrium Part I.
Non-Zero-Sum Games: Existence of Nash Equilibrium Part II.
Iterated elimination of strictly dominated strategies.
COURSE OUTLINE: 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.
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