U.S. Grandmaster (2007). Kraai has a Ph.D. in Philosophy from the University of Heidelberg (GER) in 2001.
Best results: 1987 National Junior High School Championship, 1st; Richardson IM 2008, 1st; NJ Futurity 2009, 1st; U.S. Open 2009, 1-5th CalChess Labor Day Championships 2010, 1st, 2010 California Class Open, 1st, Far West Open 2010, 1st; Evans Memorial 2014, 1st; Western State Open 2015, 1st; Edmonton invitational 2015, 1st.