Vegeta would win I believe. Akira could do well with mind maniulation, but Vegeta had overcome that like 3 times in the Dragonball era. The only thing that would stop him is his own pride. and akira was a child that was easily controlled at a young age by adults. But ehh, vegeta moves faster than the speed of eveything besides Goku and light. Akiras power is based on brain if I am correct, and it takes electrical impulses to tell the brain what to do, and if Vegeta is faster than electricity (aka lightning), which he is, he would get the first shot, oblitherating akira. Then again his price often gets in the way, so there is a slight chance of Akira winning, but my vote is
Vegeta 99% of the time.