A key direction for research in systems and control involves engineering systems. These are highly distributed collective systems (with decisions, information and objectives distributed throughout) that involve humans. As a result, decisions have the potential to be influenced by socioeconomic factors outside the realm of limited computation capacities. Engineering systems emphasize the potential of control and games beyond traditional applications and game theory can be used to design incentives to obtain socially desirable behaviours on the part of the players, including changing consumption patterns or better traffic distribution. This unique book addresses both the foundations of game theory, with emphasis on the physical intuition behind the concepts, and new trends in the study of cooperation and competition in large complex distributed systems. It is ideal for students and researchers in several aspects of engineering, as well as for social scientists or biologists working on adaption mechanisms and evolutionary dynamics.

This unique book discusses the foundations of game theory, its applications to engineering systems, and new trends, and is ideal for both students and researchers.

Contents List of Figures List of Tables List of Algorithms Preface List of Notation I Theory 1 Introduction to Games 2 Two-Person Zero-Sum Games 3 Computation of Saddle-Points and Nash Equilibrium Solutions 4 Refinement on Nash equilibrium Solutions, Stackelberg Equilibrium, and Pareto Optimality 5 Coalitional Games 6 Core, Shaply Value, Nucleolus 7 Evolutionary Game Theory 8 Replicator Dynamics and Learning in Games 9 Differential Games 10 Stochastic Games 11 Games with Vector Payoffs: Approachability and Attainability 12 Mean-Field Games II Applications 13 Consensus in Multi-agent Systems 14 Demand Side Management 15 Synchronization of Power Generators 16 Opinion Dynamics 17 Bargaining 18 Pedestrian Flow 19 Supply Chain 20 Population of Producers 21 Cyber-Physical Systems A Mathematical Review B Optimization C Lyapunov Stabilit D Some Notions of Probability Theory E Stochastic Stability F Indistinguishability and Mean-Field Convergence Bibliography Index