Brieger graduated with B.S. in Mathematics from University of Houston in 1946 and obtained his teaching certificate in 1951. Professionally he taught math for brief periods in Houston and other Texas districts and worked two years for Convair Aeronautics in San Diego, California.
He began playing chess at the age of 17 and eventually became a rated Master. He authored several books on chess and composed countless end game studies as well as played correspondence chess. Brieger also held the title of Houston City Chess Champion many times and was a powerhouse in Texas and tournaments in the Southwest for many years,
Besides chess, he loved classical music and played the clarinet in high school and university orchestras, later he enjoyed attending concerts and opera. Later in life he also enjoyed all types of ballroom dancing. He loved classical movies and collected favorites, especially winners of awards in Cannes and Venice, as well as Hollywood.
Brieger was well known in the area of Houston in which he lived because of his life-long habit of walking miles throughout the neighborhood.
Simpson's career started when he learned chess from a neighbor and then began challenging anyone who was willing to play him. He later joined the Black Bear School of Chess who staged 30-game blitz matches and seriously studied the game. Simpson loved tactical chess and became known for his swashbuckling style of play.
After moving to North Carolina he played for the Carolina Cobras in the US Chess League and won a number of tournaments and was a North Carolina State champion. Simpson was one of those rare masters who would play anyone, anywhere. He often played in local events where he was 200-300 points above everybody else simply because he enjoyed playing and analyzing with others. He was buried back in New York City where his mother still lived.
The two met in round 10 at the 1959 US Open in Omaha, Nebraska where Brieger scored 6.5-5.5 and finished tied for places 44-57. Simpson finished with a score of 5-7 and tied for places 92-104. The following game is full of raging complications and the outcome was in the balance until the very end. A good show by BOTH players!