Finding a person who can market one's skills still hinges on being able to successfully advertise oneself to such a person, filtering for people who are able to do so. Furthermore, not everyone is configured to fit the mode of operation required by the market: Some might have disabilities that introduce irregularities in their behaviour or schedule, others aren't able to deliver a steady stream of product, and then there are artists who simply never get the recognition they deserve in their lifetime (not uncommon).
There are also those who simply can't reasonably be expected to function under market conditions at any meaningful degree, and those who just don't have any of the talents the market is looking for. What's going to happen to them in that beautiful equation of yours? Charity will somehow rise to greatness and become a comprehensive solution? Can we have some sort of guarantee for that, or is that just some half hearted hope, the victims be damned if it doesn't work out?
Also, be aware that you're talking to a social democrat. I'm not advocating for some kind of central planning board based economy or whatever. I'm championing a mixed economy approach with regulations, public utilities, publicly financed education and generous welfare measures (e.g. universal healthcare, guaranteed housing, UBI, etc).
RE: Social Democracy & Liberal Democracy