I think that's debatable, within certain class size ranges, but then education would just be a normal good.
Similar to your point about imperfect public goods, it's probably better to say that schools are like a club good.
I don't think class size matters here,but the quality of education kids receive matters. In private schools for a teacher to keep his or her job,kids should perform well,but in public schools!?whether they perform well or not,teachers will still get their pay.
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That's true but not really pertinent to whether it's rivalrous or not.
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