shminux comments on Open Thread, September 15-30, 2012 - Less Wrong
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The key difference is risk aversion. People are (quite rightly in my opinion) very risk-averse with their own money, almost nobody would be happy to trade all their possessions for a 51% shot at twice as much, mostly because doubling your possessions doesn't improve your life as much as losing them worsens it.
On the other hand, with altruistic causes, helping two people really does do exactly twice as much good as helping one, so there is no reason to be risk averse, and you should put all your resources on the bet with the highest expected pay-off, regardless of the possibility that it might all amount to nothing if you don't get lucky.