Jump ball following the tip

[rockchalk jhawk]

Had a weird sitch last night at a scrimmage. The initial tip to start the game was tipped directly in between two players who both immediately grab the ball. So we've got a jump ball immediately following the jump ball. After some chuckling we get together and talk. We decide that we re-jump the ball since there was never any control established. The question then turned to who the jumpers should be. I say that the original two who jumped to begin the game jump again, but a partner said he thought the two who tied up to create the jump ball should jump it. What say ye?