Since monopolies have no incentive to improve will competition from school choice improve public schools?

Since monopolies have no incentive to improve will competition from school choice improve public schools?

The average cost of public school is $18,000 per year per student. Per-pupil spending on students with disabilities is roughly 1.9 times that of typical students. Because a disproportionate share of students with disabilities are enrolled in regular public schools, this increases public school spending relative to private schools.

Therefore, should parents be given and average of $12,000 annually (2/3rds the cost of public school) if they choose to home school or send their children to religious or private schools.

Since student attending home, religious or private schools would reduce their funding, public schools would be incentivize to improve.

Since monopolies have no incentive to improve will competition from school choice improve public schools?
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