This argument seems valid for large number of soldiers (~100,000). But when numbers are small, a different strategy should dominate. Perhaps forcing a uniform distribution of donating kidneys (by randomly forcing a solider to donate their kidney) could work better.
(The actual question is about your best utilitarian model, not your strategy given my model.)
Uniform distribution of donating kidney sounds also the result when a donor is 10^19 more likely to set the example. Maybe I should precise that the donor is unlikely to take the 1% risk unless someone else is more critical to war effort.
(I only thought for 1 minute.)
This argument seems valid for large number of soldiers (~100,000). But when numbers are small, a different strategy should dominate. Perhaps forcing a uniform distribution of donating kidneys (by randomly forcing a solider to donate their kidney) could work better.
(The actual question is about your best utilitarian model, not your strategy given my model.)
Uniform distribution of donating kidney sounds also the result when a donor is 10^19 more likely to set the example. Maybe I should precise that the donor is unlikely to take the 1% risk unless someone else is more critical to war effort.