The weak will never oppress the strong into paying for them.
Those who come out on top in even populist revolutions are the elite or the new elite (young elite people just getting started in life).
It is evolutionary fact that the weak will eventually die.
Lots of that will go down with peal oil hitting harder and harder in the coming years.
If the government force their elite to work hard to provide for the weak then the the strong have fewer kids and the weak more than they can support and in a few generations the country will be bankrupt and filled with useless masses.
It only takes 20 generations to completely breed out aggression in a wild fox, that's around 400 years with humans - but your country will probably collapse before that.
The only solution is the poor have fewer kids or if they break that rule the extra kids get no benefits - eugenics.
The 'weak' don't die - becasue that's not how evolution works. The most successful animals on earth are insects - try killing them off thinking you are strong and you will fail. Worms will outlive humans.
Evolution supports fitness not strength or money. The poor are the most successful people on earth (that's why there are so many of them)