Everyone on the path of greatest cumulative difficulty gets a mining reward proportional to their chosen difficulty. The big departure from bitcoin is there is no competition to mine the best block, since only the sender of the single transaction within the block can 'mine' it.
This would be a perpetual subsidy - not one that runs out ?
Is there no competition to mine the most max POW transactions, and accrue the most mining subsidy ? A professional miner as you say in your paper.