It gives an informal definition of the main elements of a game: the set of players, the concept of a move and of a strategy, the normal and the extended form, a first introduction to the description of information, the set of results that can be reached and the value each player attaches to a...

A simple proof of existence of a non cooperative Nash equilibrium is briefly discussed, together with an introduction to the problems arising from its uniqueness or non uniqueness, to the properties which can be ascribed to an equilibrium and those connected with the search for an equilibrium.

The concept of a repeated game is introduced and applied to the case of the centipede, the finite and the indefinitely repeated prisoner’s dilemma. The consequences of the assumption of common knowledge of rationality are outlined. A concept of reasonableness is introduced and some of its...

After introducing the binary relation of domination and its properties, one defines the concept of non dominated strategies and some conditions for their existence, the concept of solution of a game, that of rationalizability, that of best reply and the concept of non cooperative Nash equilibrium.