Dessicant, in my opinion your post is based on a low-information ideological error.
You understand the small issue - Person 1 deserves to make twice as much as person 2 - but you have no idea whatsoever about the larger and more important issues.
The issues of income inequality have basically nothing to do with 'get better'.
You need to learn to appreciate how economies work, and how small an issue 'do better, get more' is to ensuring an economy works well and works for everyone.
Hint 1: personal and corporate agendas are the opposite of the 'competitive free market' at the end of the day.
The hardest dollars people ever make are the ones from 'honest competition' and they're rather avoid that and make much easier dollars.
For example, do you have any clue how much the defense industry is set up to benefit the participants ahead of the 'defense' mission?
I'd like to see you try to build a better mousetrap and go take a contract away from Northrup or Boeing.
But more importantly, excessive income inequality reduces wealth, reduces growth, reduces opportunity, reduces freed, reduces democracy.
It only helps the few at the top have a bigger piece of the pie, and even they lose out as they eventually shrink the pie.
Everyone below them loses money, until eventually just keeping them alive is too much.
You would need to understand things like the cycle of the economy to appreciate that - the difference between the 'plutocratic' model where the economy is focused on benefitting a few, and the egalitarian model where there is some productive inequality, but a much larger middle class, where more do well and which creates more wealth that is more distributed.
You have a very simplistic notion about economics. Want to be a billionare? Work hard!
That can only work for very few people, and there's a lot more than work hard.
Our basic views are at odds, so of course everything built on those views is also at odds. So the mechanics of what is built upon our premises are not worth debating. I believe your basic view is collectivism-utilitarianism. That, quoting Spock, the needs of the many, outweigh the needs of the few, or the one." That the economy is a tool of society, to be run by governments and other policy makers and experts, for the purpose of making the average person or the "little people" comfortable and happy, even if it means curtailing basic freedoms.
My basic view is that the economy is not the property of anyone, but a sum of the economic activity of its participants. Nothing more. I don't believe the needs of the many outweigh the needs of the few. In fact, I don't recognize need as a claim at all. I don't accept that because one, or many, have a need, that they have the right to take what they need from others.
Moving to income inequality. I don't care about it. Your income is not my problem, and my income is not your problem. I am not my brothers keeper, and neither are you. Everyone needs income, and everyone has a right to act rationally in a free society and a free economy to trade time and/or talent for money to survive and enjoy.
If you have little talent and are lazy, poverty will be the logical result. If you are driven and talented, there is potential for great wealth. If you are like most people, in the middle, you will have a good life, but will have to work diligently and make sure you always have something to offer in trade, but probably won't own a yacht. If you are handicapped or useless, you have the right to
ask others for help. If everyone says no, you have a right to die in the street.
So, you believe in collectivism-utilitarianism with curtailment of freedom as an acceptable alternative in the interests of the common good. I believe in individualism and freedom and reject the idea of the common good altogether.
These viewpoints are incompatible and cannot be argued without one of us giving up our basic moral convictions, and obviously that's not happening!
So I believe the correct forum behavior would be for us to state our convictions and move on. Which we have now done.