TOKYO (Reuters) - Asian stocks dropped for the third consecutive session on Monday, hit by worries over further escalation of the U.S-China trade war and unstable emerging market currencies. FILE PHOTO: Shipping containers, including one labelled "China Shipping," are stacked at the Paul W. Conley Container Terminal in Boston, Massachusetts, U.S., May 9, 2018. REUTERSBrian SnyderFile Photo MSCI's broadest index of Asia-Pacific shares outside Japan .