Population Games in Large-scale Networks: Time Delays, Mean Field Dynamics and Applications

Delayed evolutionary game dynamics and mean field limit are very important in large-scale dynamic environment. This manuscript presents dynamic foundations of population games with variable number of players with different types, classes and locations. It covers game dyamics with multicomponent strategies, spatial distribution of the players, constained hybrid dynamics, stochastic population games in wich each generic player has its own state and facing to an evolving vector that captures the propulation profile, differential population games and mean field stochastic games. Convergence and stability of different solution concepts as well as the effect of time delays are examined in various mean field game dynamics with migration. Application to transport protocol, access control, battery state- dependent energy management and dynamic resource allocation problems in both wired and wireless networks are presented.