In my native English, the first argument in "Mary feeds her pigs" stands for an agent, and the second stands for a patient.
But what about the arguments in reflexive and reciprocal clauses in single-argument clauses? In the following two sentences, each argument seems to stand for an agent and a patient simultaneously.
Mary fed herself. Mary and Dean hugged each other.
Is there a single-word semantic term for things that are simultaneously agents and patients?