Static and dynamic equilibria in games with continuum of players (Q1863736)

The author introduces and studies a general class of deterministic dynamic games with an atomless measure space of players and an arbitrary time space. The existence of a static equilibrium is proven and the relations between a dynamic open-loop equilibrium and a certain family of static equilibria are examined. The author also proves some existence theorems for dynamic equilibria in the following games: games with a discrete time space, games with an arbitrary time space and games with an arbitrary time space but a finite number of types of players.