Reese contributed to the Acol bidding system originally developed by Maurice Harrison-Gray, Jack Marx and S.J.("Skid") Simon in the late 1920s and early 1930s and co-authored the first textbook on it with Ben Cohen in 1938. Named after the Acol Bridge Club in North London (located on Acol Road at the time), it became the prevailing bidding system in Britain and some other parts of the world. The book and its subsequent editions in 1939, 1946 and 1949 gave unity to what was otherwise a rather free-wheeling bidding system. His later adaptation of Garozzo and Yallouze's book on the Blue Club and his book on the Precision Club were widely used by devotees of strong club systems, and by their opponents as references.