Proving the negative is notoriously hard (often impossible), and yet that's exactly what you're asking of me.
No, friend, game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers." Mathematical models are the very essence of being open to proof,
see here.
So, on one hand, you dont need to provide any proof that non-mining nodes (or nodes) are irrelevant to Bitcoins security. On the other hand, you suggest that mathematical models make such proof possible. Then,
instead of providing any evidence of your argument, you link to an encyclopedia article about Mathematical proof. Really compelling.
No. That's retarded. Stop being retarded.
1. You tell me that hanging garlands of garlic on our front door is essential for home security, because stops Evol from getting in.
2. When I object & ask you to explain how, you retort with "so prove to me that garlic is
not essential for for our security."
3. I point out that such proof, as is the case for most "prove the negative," would be difficult, if not altogether impossible, and that the burden of proof remains with you.
So switching "padlocks thrown about on our lawn" for "garlands of garlic on our front door" proves your case....how? I provided numerous arguments that suggest this is an absurd analogy with no basis in reality.