Systems that interact synchronously with an unpredictable environment are usually captured by zero-sum concurrent games. In such games, randomised strategies are in general more powerful than deterministic ones. Such systems, however, do not capture faithfully decentralised systems that cannot resort to a common private source of randomness. In this talk, I will introduce dicey games, a model for games played by teams, where the structure of randomness sources accessible to each player is explicitly specified.