MIT: Independent Activities Period: IAP

IAP 2017



Introduction to Epistemic Game Theory

Cosmo Grant

Jan/25 Wed 11:00AM-12:30PM 32-D461
Jan/26 Thu 11:00AM-12:30PM 32-D461

Enrollment: Unlimited: No advance sign-up
Attendance: Participants welcome at individual sessions

In epistemic game theory, you aim to supplement the traditional description of a game (payoff matrix etc.) with a description of the players' states of mind. What does that involve? Well, for example, you could describe the players' beliefs about the other players' strategies, or about the structure of the game, or about the other players’ rationality, or, circularly, about the other players’ beliefs about any of these things.

You then aim to connect the players' states of mind with their behavior in a game: for example, if the players' have such-and-such properties, they will play such-and-such strategies. Thus epistemic game theory sheds light on solution concepts like Nash equilibrium, a traditional analytical tool in game theory, and takes a decision-theoretic perspective on a game-theoretic situation, raising lots of philosophical issues along the way.

We'll look at some standard ways to model the players' states of mind, define some key epistemic and game-theoretic concepts, and look at a couple of landmark results.

Sponsor(s): Linguistics and Philosophy
Contact: Cosmo Grant, cosmodgrant@gmail.com