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turchin comments on Risk Contracts: A Crackpot Idea to Save the World - Less Wrong
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R. Posner in his book "Catastrophe" has tried to create such model for asteroid impact risks and also for collider risks.
The book was written by a judge and he study a lot legal and economic aspect of preventing human extinction.
For example he shows that typically human life costs 3 mln USD, and it could help us to compare risks and benefits of certain technologies.
While it was interesting reading, I don't think it has much practical value. https://www.amazon.com/Catastrophe-Risk-Response-Richard-Posner/dp/0195306473