[throwaway8582]

Sure, the values you picked for your example make the Minimax strategy look reasonable. You can just as easily choose values which make it look silly:

1) 1% of people earn $1 per day, and 99% of people earn $100 per day 2) Everyone earns $1.01 per day

I think most people, myself included, would take their chances with the first option. The Veil of Ignorance is a useful thought experiment, but I don't think many people would consider a simple Minimax algorithm to be reasonable, and would take into account the well-being of the average person as well.