If the following are true: 1) children in different areas have similar poverty levels and home lives 2) schools in different areas are funded adequately 3) the

If the following are true: 1) children in different areas have similar poverty levels and home lives 2) schools in different areas are funded adequately 3) the quality of teachers and administrators are independent of funding then, improving competition would help parents pick the right schools for their kids, improving educational outcomes. However, 1 and 2 are definitely not true, and I think 3 is not true as well (higher salaries attract good teachers.) If you want to improve education outcomes in the US, you must improve funding for schools in poor areas, increase incomes for parents (possibly with a child allowance), reduce discriminatory law enforcement that disproportionately targets poor and minority parents, and much more.