Dynamic Games

This chapter discusses a new class of games known as dynamic games. It begins by considering a two-player multi-stage game in extensive form in which the overall tree structure can be mathematically described in a manner that actually allows for games that are more general than those typically described in extensive form. These include games described by graphs that are not trees, games with infinitely many stages, and games with action spaces that are not finite sets. The equation for solving dynamic games is often called the dynamics of the game. The chapter also examines the information structures of dynamic games and concludes with an overview of continuous time differential games and differential games with variable termination time.