Hard to see from the angle of the camera, but it looks like the bottle is tied in a way that the bulk of the mass is actually under the table. Meaning that it should be stable because the table can support weight that is underneath itself. Remove all the "bells and whistles" that just serve to confuse the viewer and put the bottle on top of the table. As long as the center of mass is above the table, it will support it. As soon as the center of mass is off the table, it will fall.
Notice how he gives it a push along the direction of the table edge, keeping the center of gravity underneath the table. He does not push the bottle out from underneath the table which would move the center of gravity to a point that is no longer underneath the table (unstable).
All the match needs to do is to resist the minor torque that is being created (and he minimizes that torque by putting the string as close to the table edge as possible). The two additional matches probably help resist this torque.
Also note that he doesn't use the rounded plastic table top. Instead he put a sharp edged wood table on top of the other table. I wonder if this helps pinch into the match, resisting the torque a bit better. But that is just speculation without really looking in closely.
