In a message dated 4/11/98 6:00:22 PM, bostrom@ndirect.co.uk wrote:
>Robin says that on his model, one of the necessary 
>conditions for an economic singularity is that the population growth 
>remains less than the discount factor ~3%. But suppose that 
>population growth rate were to rise to, say, 5% for the next 50 
>years. If in 20 years we develop superintelligence plus full 
>Drexlerian nanotechnology, why should it make any difference whether 
>the average couple has 2.1 children or 2.4 children? This doesn't 
>look like the sort of thing that could stop the singularity from 
>happening. What am I missing?
A Drexlerian singularity will alter discount rates.  If people know that their
income will increase by a factor of 100 in the next year, it will take an
enormous interest rate to make them save.  I believe Robin's model doesn't
account for the effects of insanely high growth rates
on discount rates. 
A Drexlerian singularity looks rather odd in Robin's model.  Basically
the savings/productivity function goes almost vertical at the singularity.  
Robin: In your model, what happens if savings have increasing returns to scale
all the way out to infinity?
Received on Sun Apr 12 02:28:46 1998
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