Von Neumann wrote Games and Economic Behaviour.
more than 1 players in a game
Players have actions (actions affect the external environment).
Players have preferences
A general abstract framework for strategic interaction
An effort to map human behaviour to game-theoric language.
Describe or predict human behaviour
Humans tend to follow social norms and only behave strategically if incentives are large
Humans act strategically in games that are sufficiently simple
Players adapt behaviour over time towards rational play
Examples of systems where game theory is applicable
Fair allocation Mechanism
Matrix form of a game. Explicit representation of the payoffs can be exponentially large,