Librería Portfolio

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.

Addresses the current burst in game theoretic approaches in engineering systems
Explores the foundations of game theory
Useful for a range of specialisms, from social scientists interested in quantitative methods for sociotechnical systems, to physicists working on collective systems and synchronization phenomena



Table of Contents

List of figures
List of tables
List of algorithms
Preface
List of notation
Part 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
Part 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
Appendix A. Mathematical review
Appendix B. Optimization
Appendix C. Lyapunov stability
Appendix D. Some notions of probability theory
Appendix E. Stochastic stability
Appendix F. Indistinguishability and mean-field convergence
Bibliography
Index.