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The whole point of index funds is that you don't have to pay management fees to managers. It's very expensive to hire a team of people to analyze the entire stock market in detail and chose the best 500 companies, and historically people who did that on average didn't beat the S&P500.

Just look up the performance of Mutual Funds vs S&P500.

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That is the point, and index funds pay many less managers. However they all have a few managers to handle the various paperwork needed and those managers do make some decisions. They have much less influence vs a traditional funds, but it is slightly above zero.
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I think the point is that they don't have the influence to intentionally deviate from the index because they think they know better. If your mandate is to be passive, then you need an index to follow. If you are that sure the S&P 500 index is wrong for some reason, or whatever other index you follow, then you need to invent a new index. Then, you can follow the new index.
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At least my index funds do that. They don't get to constantly trade like non-index funds do, and they typically stick with the index, but every index fund I own has a line about "we select stocks that we think will match the index", which is different from buying the stocks from the index.

Again, the vast majority of the time they are matching the index stocks. However they have the right.

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but any upside to second guessing the index gets allocated to the management, right? just like any downside, so its kind of immaterial for the end users, they're effectively bought into to SpaceX anyways
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They are judged by how close to the index their returns are. If there a significant deviation either way they are judged harshly. Each fund is different, but they typical thing they will do is buy a competitor of some company in the index once in a while.

Typically managers pay is such that they don't get awards for guessing correctly, so they won't get any upside from a correct second guess, and they will see downsides from incorrect guesses.

Also unlike traditional funds, there are not enough managers to follow every company, so they can't pick stocks that will win just because they don't have enough to time research the stock. When they pick a stock they are just looking at the high level will this company perform like the other peers in the industry long term.

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So are they incentivized to allow an obvious grift and let the index have middling returns so they can skim the difference?
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