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That's a pretty interesting hypothesis. I can see it going both ways. With the log-transform, someone who really wants to boost the post and is sats-rich is incentivized to make larger zaps, since they need to in order to influence the rankings.

Similarly, with log-transform, sats-poor users are more incentivized to make small zaps on posts that already have a lot of zaps, since each unique user zapping is relatively more impactful.

The fear without the log transform is we end up with rich-rank or promotional-motive-rank. (I’m more afraid of the latter.)

The problem with the log transform is that we don’t know that unique zappers are actually unique (and need trust to make a better guess).

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