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• Pyramid Rules:
The game being played is Combined Pyramid.
Some extra info from Wikipedia:
Combined pyramid (also known as Moscow pyramid)
Only one ball is the cue ball. Players can pocket the cue ball and then the scorer must choose a white ball to be taken off the table. The player then places the cue ball in the baulk area where balls can be only pocketed in side and far corner pockets.
All games begin with fifteen numbered white balls racked in a pyramid, as in straight pool. The first player breaks the rack with the cue ball from the baulk line. The object of the game is to pocket eight balls to win the frame. After pocketing the cue ball, the scorer must choose a white ball to be taken off the table. In combined pyramid, then the player places the cue ball in the baulk area. Balls can be pocketed in side and far corner pockets only.
Link for another table same event: