Game theoretic modelling in economics.

Game models in economics present an estasblished field of theoretical and applied research. There are many paths to follow both for a short project and a PhD. For instance, one can dostingish two directons: 

(i) Crime prevention (e.g. in tax evasion).
Starting from learning about a classical model of inspection and related game theory, a student will be then introduced to more recent and more sophisticated models, in particular those that I developed myself that allow to take into account more subtle effects, say, when the punishment for tax evasion depends on the amount of hidden profit, when there are several instruments for crime prevention, etc. The student will be supposed to first 1) understand existing models, analyze them theoretically and compute solutions numerically, and then 2) improve and extend existing models taking into account real data obtained, from, say WBS (or Law and Crime prevention Units).

(ii) Price competition for firms and products with variable locations and delivery costs.
Starting from classical Cournot models of price competition, the student will be supposed to concentrate on game models of territorial price building including various transaction costs from production sites to deliveries, the possibility of several production firms on each production site with the price at the production site being increased by the total demand of the selling agents (as well as decreased by the total supply) yielding a game with many players including both selling agents and production firms.