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It doesn't. Wasabi is not vulnerable to that issue at all as every participant participates equally. Nor is payjoin, as it's a payment, combining (some) funds for the two parties.
I'd suggest that you sit down with a pen and paper and try working out what input paid the fees yourself. That's the best way to understand the issue.
0 sats \ 1 reply \ @OT 19h
Knowing who paid the fee in the first round doesn't give away who pays in the next round.
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In Wasabi every participant pays part of the fees. Also, there may only be one coinjoin transaction: depending on your privacy needs, a single transaction can be sufficient.
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