Writing from Padova. I am in Discovery Science 2004.

I am running two student projects that use PNL. I have to prepare a quick introduction to Probabilistic Graphical Models for undergrads.

After talking to esteve I have decided to propose a project in Learning in Games, concretely centered in repeated games. The main idea is to develop software that supports in making research in learning in repeated games. That means that the software should be able to:

• allow the easy definition of a repeated game (including Bayesian games, if possible)
• allow the easy definition of one (or a set of) players of a repeated game. This includes a library of well known players such as fictitious players.
• allow the easy definition of an experiment (sampling games from a probability distribution over games).
• run experiments and show graphs that are illustrative of whether there is convergence, computes averages of performance for different sets of players, etc.

The second step would be to think about creating new players, programming them and making experiments to evaluate their efficiency.

Interesting resources for the topic are:

• Game Theory by Myerson (as reference)
• Jim Ratliff's Graduate-Level Course in Game Theory (chapters on repeated games)
• Theory of Learning in Games by Fudenberg and Levine (for a quick review)
• Kearns course (chapters on repeated games)