Do you think the use of jury system or the judge system results in more favourable social outcomes in trials?

Depends on the nature of the dispute. when the real issue is not application of the law, but simply a question of which person is telling the truth, nothing beats a jury. In the classic example, one person says immediately before the accident the light was red. The other says green. All agree that the outcome turns on that question. Go with the jury. If the argument is, even if it was green, I still win because you have an obligation to look out for those who have not yet passed through the intersection, then go with a judge.