Jamieson represented Australia in five Chess Olympiads in Nice 1974, Haifa 1976, Buenos Aires 1978, Malta 1980 and Lucerne 1982. Jamieson's best performance was at the 25th Chess Olympiad in Lucerne in 1982, where he scored 8.5/11 (77%), winning a bronze medal for equal 3rd best performance on second board, together with Garry Kasparov. This was the first GM norm by an Australian.