Beggar Sect - Income distribution

Over the weekend I was watching the Condor Heroes again. This is a series of novels by the great Jin Yong. I don't think there is another equivalent in the western world of authors of this calibre. Ok, the story was a side issue. I was quite impressed with the organisation of the Beggar Sect and the way they distributed their income. The lowest few levels were the foot soldiers that went out to collect donations. This will then be pooled and distributed among the rest of the beggars. There were altogether 9 ranks in the sect, excluding the lowest and the chief. Each level was denoted by one pocket attached to the torn and tattered shirt. The most senior rank had 9 pockets. The distribution of the collection was thus very simple. One dollar to each pocket. 9 pockets $9. I am not sure how much the lowest rank, without pocket with get. Neither do I know how much the chief would get. He had no pockets. With 9 levels of sharing, the ratio is 1:9. The amazing thing is that our national income distribution based on official statistics is very similar to this. The lowest ten percentiles earn less than $1K while the top ten percentiles earn $10K. This is about right if we use the Beggar Sect's formula for income distribution. How more fair can we be?