Finally read the whole thread ... I joined late
If I could learn anything from this it is that it looks like there is no equitable distribution.
I think the hardest part is to establish equal value.
Certain things have different values for different people, countries, nations ...
Some appreciate the value of time, because they do not have enough. While others have time to spare. Some people value gold and to other it doesn't mean anything. Some need water, some are starving ...
For a fair distribution the first thing would be to define something that is of equal value to everyone and it is also equally available at the same time.
Just my two (philosophical) cents