Lesson 1: Basic issues

- What is Game Theory?

- Origins of Game Theory

- The main formal models

- Games in strategic form

- Interpretation and modeling via the strategic form. Towards a "solution"

- The single decision maker, and connections with games

- Comments on the general model used for single and multiple DM models

- Nash equilibrium as a solution: its justifications and related problems

Lesson 2: Nash equilibrium

- Representation of a game

- Nash equilibrium: definition and discussion of some difficulties

- Mixed extension of a finite game

Lesson 3: Existence of Nash equilibria

- Existence theorem for Nash equilibrium: version with preferences

- Existence theorem for Nash equilibrium: version with payoffs

- Glicksberg's existence theorem

Lesson 4: Subjective and correlated equilibria

- A couple of examples: matching pennies and the battle of the sexes

- Subjective equilibria

- Correlated equilibria: the easy part of the story

- Correlated equilibria

- Formal definition of correlated equilibria

Lesson 5: Common knowledge and agreeing to disagree

- Common knowledge: an example

- Connections with subjective equilibria

- Common knowledge

- Agreeing to disagree

- Correlated equilibria as expression of Bayesian rationality

Lesson 6: Games with incomplete information

- Games with incomplete information

- Bayesian Nash equilibrium

- Additional topics about games with incomplete information

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