A study that I came across via Chris Martenson set me to thinking somewhat about distribution of wealth, and I found myself with a comclusion that turns out to be able to be expressed in strikingly simple terms.
That conclusion is expressed in the following two simple statements:
Wealth should be shared fairly¹, but government cannot be trusted to do it or to oversee it.
Those who do honest labor must be able to reap the rewards of their labors, or there will be no incentive for them to labor.
 Which does not mean "equally". See the second point.