So, what you want, is the most wealth, in as many hands as possible, yes?
OK. So, just for S&G, let's redistribute all the wealth from everyone, to everyone. Start conditions= Gini coefficient 0.
What happens when people make bad decisions? Invest poorly, lose money, etc?
And what happens when people make good decisions? Pick the right investments, trade their labor for money, etc?
Suddenly that coefficient starts creeping up... Those who made good decisions now have more money than those who made bad ones. What do you do to 'fix' that?
You give them enough free market so that the most intelligent ones get more money and create more wealth and you give them enough government intervention so that the Gini-coefficient of national income distribution is not that high.