ptochocracy

If, in some democratic nation, the votes of the poor were given more weight, would the distribution of wealth automatically even out over time?

You mean Plutocracy?

>>2

Critical Reading Comprehension Failure!

Ptochocracy
Government by beggars, the rule of paupers; a governing body consisting of the poor; loosely, the poor as a class.

Origin:
1774 BURGH Pol. Disquisitions I. II. iv. 50 The British government..is neither absolute monarchy nor limited monarchy, nor aristocracy, nor democracy,..but may be called a ptochocracy (the reader will pardon a new word) or government of beggars.

Source: OED.com