Think about just about any government program. Here’s one example: Public education.
What problem was it was marketed by politicians (in exchange for votes) and special interests to solve? Public education was meant to solve the problem of giving everyone equal access to a high quality education.
Has that problem been solved? Public education has given everyone access to education, but not high quality education. In fact, the very people public education was meant to solve this problem for seem to be the very ones with limited choice in escaping low-quality public schools.
What other trade-offs and unintended consequences has the government solution created? Public education has many trade-offs and unintended consequences. Just a couple: It has put a high price tag on low quality education. We keep kids in school and away from more productive pursuits, like gaining on-the-job experience and learning a trade, for far too long.
Now you try it. Pick a government program and answer those three questions. Let me know if you find any where the unequivocal answer to the second question is “yes”.