+1. As a toy model, consider how the expected maximum of a sample from a heavy tailed distribution is affected by sample size. I simulated this once and the relationship was approximately linear. But Soares’ point still holds if any individual bet requires a minimum amount of time to pay off. You can scalably benefit from parallelism while still requiring a minimum amount of serial time.
+1. As a toy model, consider how the expected maximum of a sample from a heavy tailed distribution is affected by sample size. I simulated this once and the relationship was approximately linear. But Soares’ point still holds if any individual bet requires a minimum amount of time to pay off. You can scalably benefit from parallelism while still requiring a minimum amount of serial time.