According to our Leaders - Government experts, politicians, and a variety of experts - the Coronavirus vaccine should be allocated to people so as to save lives. Based on this goal, they conclude that health professionals should be first on line and old, vulnerable people should be next on line.
Here is a bare bones example that illustrates the tradeoff. Consider the following two people, neither a health care professional. Person A is 85 years old and in such poor health that there is a 99% probability of his dying in 30 days of non-Coronavirus causes and a 100% probability of dying if he becomes infected with Coronavirus. Person B is 50 years old with an expected lifetime of 20 years if he doesn’t become infected with Coronavirus but, due to a health issue, has a 10% probability death by Coronavirus if he becomes infected. To keep things simple, assume the same probability of infection and its occurring instantly for both.
Roughly, the person years saved by giving the vaccine to Person A is proportional to 30/365=0.082 and the person years saved by giving the vaccine to Person B is proportional to 0.1*20=2. If it is an either-or situation, giving the vaccine to Person B does far more good than giving it to Person A.
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