Game and decision theory start from rather strong premises. Preferences, represented by utilities, beliefs represented by probabilities, common knowledge and symmetric rationality as background assumptions are treated as “given.” A richer language enabling us to capture the process leading...

The paper introduces and discusses some of the most important conceptual ideas in game theory by exploring their implicit answer to the question: Who is a player? It will be illustrated that some of the most celebrated results in game theory rely on different notions of a player, global players...