 The definitions of game and strategy above were purely mathematical. So they left out what is probably the single most important feature of games, which is that people play them (at least metaphorically). The players aim to win, and by studying the strategies open to them we study what behaviour is rational for a person with a particular aim. In most games there are several players, so we can study what is a rational response to somebody else’s behaviour. By restricting the players’ moves and possible strategies, we can study bounded rationality, where an agent has to make rational decisions under conditions of limited information, memory or time. 