Maybe read: "Free To Choose" - Milton Friedman ?
Even Friedman also agrees with the ideas that I propose: Friedman believes in a basic safety net that ensures that you have basic necessities.
The key as that your secured income is big enough that you can pay for a roof, food and clothes.
My point is that this alone puts a upper bound to the amount of inequality you can have.
Maybe read: "Free To Choose" - Milton Friedman ?