Knowledge and understanding: know the main concepts, problems and methods of graph theory; know the fundamental properties of the matrices associated with graphs and their application in networks’ analysis; know some applications of graph theory to the analysis of real systems, in particular of real networks (web, internet, social networks, etc); know the main models of game theory and the related resolution methods.
Applying knowledge and understanding: be able to identify the network structure of some real systems and to formulate an appropriate model in terms of graphs; be able to formalize simple combinatoric and applicative problems as problems on graphs; be able to represent and solve simple game situations.
Autonomy of judgment: be able to propose and discuss an appropriate model for the representation of a real network;
be able to propose and discuss an appropriate model for representing a conflict / game situation.
Communication skills: be able to present t with the necessary formal accuracy the subjects covered in the course and possible other research m
Game Theory: this part of the course presents the assumptions, the forms of representation and the basic concepts of game theory and the main models used in the analysis of non-cooperative and cooperative games.
– Thomas S. Ferguson: “Game Theory” available at site http://www.math.ucla.edu/stom/Game Theory/Contents.html.