For example, in chess (or any online game), you broadcast the game state to other players at certain times (every n-milliseconds or after a move is made). Thereupon, a player's game client renders the game state in a format suitable for human interaction.
I want to do additional research on the design/transmission of multiplayer video game states, but my ignorance of the terminology is frustrating my research efforts.
What role or documented theoretical problem describes this specific piece of game system architecture?