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. REUTERS/Brian Snyder/File Photo MSCI's broadest index of Asia-Pacific shares outside Japan .