Should any dispute arise relative to the performance of this contract that the parties cannot satisfactorily resolve, then the parties agree that the dispute shall be resolved by binding arbitration conducted by the American Arbitration Association. The party demanding arbitration shall give written notice to the opposite party and the American Arbitration Association promptly after the matter in dispute arises. In no event, however, shall a written notice of demand for arbitration be given after the date on which a legal action concerning the matter in dispute would be barred by the appropriate statute of limitations.