Lectures:
- Introduction.
- Combinatorial games, graph games.
- The game of NIM, the Sprague-Grundy function.
- Sums of games and their solution using the Sprague-Grundy function.
- Two-person zero-sum games in the strategic form, matrix games.
- Dominated strategies, saddle points, mixed strategies.
- Solving matrix games by transformation to a linear programming problem.
- Linear programming.
- Two-person zero-sum games in the extensive form, Kuhn tree, chance moves, games of imperfect information.
- Two-person general-sum games in the strategic form, bimatrix games, Nash equilibria.
- Cooperative games with transferable utility.
- Games in coalitional form.
Tutorials:
- Simple take-away games.
- Combinatorial games, graph games.
- The game of NIM, the Sprague-Grundy function.
- Sums of games and their solution using the Sprague-Grundy function.
- Two-person zero-sum games in the strategic form, matrix games.
- Dominated strategies, saddle points, mixed strategies.
- Solving matrix games by transformation to a linear programming problem.
- Linear programming.
- Two-person zero-sum games in the extensive form, Kuhn tree, chance moves, games of imperfect information.
- Two-person general-sum games in the strategic form, bimatrix games, Nash equilibria.
- Cooperative games with transferable utility.
- Games in coalitional form.
- Introduction.
- Combinatorial games, graph games.
- The game of NIM, the Sprague-Grundy function.
- Sums of games and their solution using the Sprague-Grundy function.
- Two-person zero-sum games in the strategic form, matrix games.
- Dominated strategies, saddle points, mixed strategies.
- Solving matrix games by transformation to a linear programming problem.
- Linear programming.
- Two-person zero-sum games in the extensive form, Kuhn tree, chance moves, games of imperfect information.
- Two-person general-sum games in the strategic form, bimatrix games, Nash equilibria.
- Cooperative games with transferable utility.
- Games in coalitional form.
Tutorials:
- Simple take-away games.
- Combinatorial games, graph games.
- The game of NIM, the Sprague-Grundy function.
- Sums of games and their solution using the Sprague-Grundy function.
- Two-person zero-sum games in the strategic form, matrix games.
- Dominated strategies, saddle points, mixed strategies.
- Solving matrix games by transformation to a linear programming problem.
- Linear programming.
- Two-person zero-sum games in the extensive form, Kuhn tree, chance moves, games of imperfect information.
- Two-person general-sum games in the strategic form, bimatrix games, Nash equilibria.
- Cooperative games with transferable utility.
- Games in coalitional form.