Population games with networking applications

His manuscript presents dynamic foundations of population games with variable number of players and their solutions and stability concepts. We first introduce delayed evolutionary game dynamics and study their stability. Applications to both wired and wireless networks are presented. We then introduce mobility and spatial aspects of players distribution into the network dynamics. This leads to a new class of game dynamics with multicomponent strategies and migration constraints called evolutionary game dynamics with migration. We derived such dynamics for hybrid systems such as power control in heterogenous networks, switching between technologies and migration between different classes of users. After that we focus on stochastic population games with multiple classes of players in which each player has its own state and facing to an evolving vector which represents the population profile. We use this model to analyze resource and energy constrained interactions in wireless networks. Finally, we present a class of mean field games. When taking the asymptotics of finite systems, we derive a new class of game dynamics called mean field game dynamics. This class contains the standard evolutionary game dynamics based on revision of pure actions. We apply this model to analyze spatial random access game and dynamic resource competition game with individual states. We establish a link betweenmean field games and differential population games inwhich each player optimizes its long-term objective during its sojourn time in the system subject to the constraint that the population profile evolves according to some mean field game dynamics