> Charity by taxes appear to work better than charity by individual kindness.
> Egoism appears to overrun altruism in most humans.
> I fail to see that the libertarian system makers on the list have succeeded
> in explaining how to solve this problem.
You have yet to prove that charity by taxes works better. The current evidence comparing levels of private giving in various nations which range between 1(i.5) and 1(ii) indicates that private giving goes up as economies shift closer to 1(i) AND that private charitable groups utilize donated resources more efficiently than their governmental counterparts. Given these two points, the current evidence that I am aware of says you are wrong.