The doctrine of "Respondeat Superior" is a doctrine in an Agency relationship that makes the principal answerable or liable for the wrongful actions of the agent within the scope of his/her authority. For the principal to indemnify or reimburse the agent for out of pocket expenses, we talk about reimbursement of indemnity, which is usually part of the Agent's consideration in an agency relationship.
According to Merriam-Webster Online Dictionary, Respondeat Superior
is "a doctrine in tort law that makes a master liable for the wrong of a servant specifically or the doctrine making an employer or principal liable for the wrong of an employee or agent if it was committed within the scope of employment or agency."
The rising action is when they fight plague spirits. The climax is when Apollo and Meg find Grove of Dodona. Then the falling action is that Meg is actually working with the Beast. The resolution is when Leo & Calypos come back after the war with Gaea from which leo died but came back( but thats anoyher story.)