Final answer:
The adaptation mode including organized criminal activity for those playing the game differently is innovation, which is part of Robert Merton's strain theory.
Step-by-step explanation:
The mode of adaptation that includes organized criminal activity for those who would play the game differently is innovation. Innovators pursue goals they cannot reach through legitimate means by using criminal or deviant means, which can include a range of activities from white-collar crime to organized criminal endeavors. This concept is part of Robert Merton's strain theory, which outlines different ways individuals adapt to societal pressures and expectations when they cannot achieve societal goals through conventional means.