Mathematical Game Theory deals with mathematical tecniques to analyze situations in which two or more individuals make decisions to influence their benefit and others'. Situations studied by game theory theorists are not only recreative as the word game could induce to think. We date the beginning of this modern theory with the papers of von Neumann and Morgestein in 1944 (Games and Economic Behavior), the word game is applied to any social situation involving two or more individuals: the players. Players are rational decision makers, that is they will make decisions to maximize the payoffs of their expected utility.
Our interests focus on both operative games and noncooperative games, approximate equilibria and well posedness properties, Bayesian games, fuzzy games, multicriteria or vector games, vector optimization problems, and their applications to environmental problems and oncological problems. The research is developed in collaboration with Marcello Sanguineti, Giorgio Gnecco, Laura Levaggi, Vito Fragnelli.