....yes? Considering that's what we have right now? You don't need to imagine this scenario. We're in it right now. In Oregon, the minimum wage is $10.75/hour.

> Do you think you can force business to hire at any rate ? [...] What if your increase this rate by 100x, what happens ?

Obviously not. I knew someone would try to make this argument, but I think its absurd.

> Or does the rate needs to follow productivity and current standard of living indexes ?

I'd make it follow a standard of living index. What the standard should be is up for debate, but I think at a minimum, someone working 40 hours a week should be able to live in a studio apartment on their own and buy food without government assistance. Two people working 40 hours a week each should be able to have a 2-bedroom apartment while raising a kid.

> If the scenario where people don't work for 2 USD/hour they have 0 of salary. So the second scenario where they work for 2 USD / hour makes everyone more rich, I would be more inclined to believe the median wage would increase

You're forgetting that the people formerly making minimum wage would either have their wage reduced to the hypothetical $2/hour or end up being replaced by a worker willing to work for $2/hour.

If you lower or remove minimum wage, every minimum wage job will have a reduction in the wage. When an employer pays minimum wage, they're implicitly saying "I'd pay you less, but the government won't let me."

> The most important is that people worked and sustained themselves.

Only by a technical definition of "sustained".

  ....yes? Considering that's what we have right now? 

   You're forgetting that the people