Satoshi decided to distribute new coins to the miners, and back then that was a fair method to pick a random stranger, so I understand the logic behind it. But nowadays these block rewards don't go to random users anymore, they go to the people who are wealthy enough to own a significant share of the hashing power. Essentially it's making the rich people richer, and that's the exact opposite of what he originally envisioned I suppose?
Wouldn't it be much more fair to give miners only the TX-fees, and pay a reward to some random stranger (transaction) in that block? That way the initial distribution of coins is garantueed to be fair for everyone, since the coins are going to the actual users of the network (which includes also 'the poor'), instead of the big guys.
The way this could work is that the random tx is picked based on the block hash (similar to how the dice sites work). So a miner never has influence on who receives the reward, unless they withhold valid blocks to influence the outcome, which gives them a major disadvantage compared to competing miners (who will publish the first block they find).
And to discourage users from spamming the chain with dummy transactions, the reward should be equal (or lower) than the total amount of fees paid in the block. This causes their EV (expected value) to stay the same, rendering spam useless. This also discourages miners from including only transactions from friends, since the benefit of sharing the reward will be lower than the profit they could have gained from the extra fees.
At first sight such a scheme would be very simple to implement, and much more fair. The only downside I can think of right now is that the coins will be distributed more slowly than Bitcoin does right now. And to bootstrap the network there have to be one (or a couple) of empty blocks where the miner gets a reward. No big deal.
Could something like this work in practice? I have a feeling Im overlooking something fundamental, because it sounds to good (and simple) to be true, but I cant figure out where the problem lies in this approach.