1) If I have $0 and you have $100 and we both get $1000, you are still $100 richer than me. Also, if you say that purchasing power of the rich decreases, you are admitting to inflation. If I have $10,000 and can buy 20 laptops, but after the $0 guy gets $1000 he of course feels better, he can now buy 1 laptop - however I can only buy 10 laptops now. The value of the dollar dropped by half :/ that's what you are saying?

And about pegging, if you say you increase the payout according to increasing inflation, then wow, you now have a hyperinflation (that's when prices go up 100% in a matter of days, each week).