Originally posted by Kento
Gokou isn't smart but he's done some ingenius things during battle to make me think he's smarter in battle. Piccolo is the wisest fighter thanks to Kami being part of him so I think he could beat Vegeta in a chess match. Mainly because Vegeta isn't really that smart himself.
Vegeta isn't intelligent in the sense that he's never going to write a paper on particle physics etc. As a warrior and commander though, he's reasonably intelligent- he's also very arrogant, which is why he waited for Goku, and why he let Cell absorb 18. However, this arrogance only applies when he is personally fighting- i think he'd be much better at a strategy game than Goku would because in that situation he's strategically smarter, but because he isn't personally doing the fighting he wouldn't make the same arrogant mistakes as he does against Goku, Frieza and Cell.
That said, I think Piccolo would still win- he's just more intelligent overall than Vegeta is, and would probably know more strategies for chess than Vegeta.
Goku is a natural fighter- he learns techniques very quickly. However, he's not as good at strategy/tactics as Vegeta is, partly because he hates sacrificing people- e.g. Vegeta in the Buu saga- and in chess, you often have to sacrifice pieces to get into the position you want.
In sporting terms, i think Goku would make a better team captain/star player than Vegeta, but Vegeta would make a better coach.