NY CPLR § 1301. ACTIONS IN BEHALF OF THE PEOPLE TO BE BROUGHT IN THE NAME OF THE STATE
An action brought in behalf of the people, except an action to recover a penalty or forfeiture expressly given by law to a particular officer, shall be brought in the name of the state.
NY CPLR § 1302. ACTION BROUGHT ON RELATION OF A PERSON
Where an action is brought by the attorney-general on the relation or information of a person having an interest in the question, the complaint shall allege, and the title of the action shall show, that the action is so brought. As a condition of bringing an action for the benefit of a person having an interest in the question, the attorney-general shall require the relator to give an undertaking to indemnify the state against costs and expenses.
NY CPLR § 1303. PROCEDURE IN ACTION BROUGHT BY THE STATE
Except as otherwise specially prescribed by statute or rule the proceedings in an action brought by the state shall be the same as in an action by a private person.