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Lumifer comments on Open thread, 16-22 June 2014 - Less Wrong
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I don't know -- in more general terms Alice spent more resources (time, effort) at analyzing the problem and so feels more qualified than Bob who spent less resources. In this particular artificial setup this leads to suboptimal results, but I suspect that in most real-life situations, Alice would have better opinions/solutions/forecasts than Bob and so should have an advantage in a disagreement.
So I find that there's one place this frequently comes up detrimentally in real life: The advocate of something invariably has spent more time studying it than the opponent. This creates a (to my mind) unhealthy bias in some situations in the advocate's favor.