Math behind honest Tor nodes

Math behind honest Tor nodes

First: I’m sorry to post it in “Support”, but general Tor talk is disabled and I don’t know of any other Tor community that knows math/research. You basically support my understanding about the network.

My question: How can I calculate how much impact X honest Tor relays have?
Is it better to calculate with bandwidth consumed (250Gbps), despite the number of relays (~7000)?

Basically, I want to get the mathematical equation to this statement:
I run X Tor relays at Y Mb/s each and by doing so I secure Z % of the Tor network!

Starting thoughts:

  • Each “normal” route has three nodes involved: Guard, Middle, Exit
  • I am aware of guard pinning and vanguard protection for middle node pinning
  • Maybe it is easier to assume an infinite usage time of the network to eliminate guard and vanguard pinning
  • I guess the best is to assume a scenario with 1%, 5%, 10%, etc dishonest servers.

I would love to hear your thoughts about it and a concrete math equation would be amazing.

I recommend using Tor community available communication avenues, in this case specifically mailing lists (maybe best) and perhaps IRC and/or Tor stackexchange.


Sure, what is your take on it?

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