If you would like to make more people to have bitcoin, you can design a new method by using CPU only. and you can set the distribution method by sorting the whole hashing power and giving the people in different segmentation the same reward, which means, for example, to the top 5%  people they will enjoy the same reward.

I know bitcoin depends on finding the solution, but imagine the whole world is a mining pool. I am not a technical guy but I think this may solve the arms race problem in bitcoin now and involve more people.