Complex sentence: In social science generally and linguistics specifically, the cooperative principle describes how effective communication in conversation is achieved in common social situations, that is, how listeners and speakers must act cooperatively and mutually accept one another to be understood in a particular way.
Split into simpler sentences: In social science generally and linguistics specifically, the cooperative principle describes how people interact with one another. Listeners and speakers must speak cooperatively and mutually accept one another to be understood in a particular way.