Is there some generic framework for these ideas? For example, if I simplify my country "social net", it basically is, that either you have job and pay taxes, o

Is there some generic framework for these ideas? For example, if I simplify my country "social net", it basically is, that either you have job and pay taxes, or you don't have a job, and you can apply for government help. Then we have minimal wage requirement in our law. I know that a faction in our government argues, that this system has two main problems: 1) for low income people it might not be worth to search job, because often they would be paid just a little extra for large amount of work, than they alredy receive from welfare 2) employers complain, that because of high income taxes and other expeditures on employees it is not worth for them to employ people that recieve low salary. The party proposed to add a fixed sum of money negative income tax to the income tax rate as a quite elegant solution, resulting basicaly in BIG in the country. I wonder how well would that work, because at least it solves these two problems they stated.